Class 6

Solving these TS 6th Class Maths Bits with Answers 9th Lesson Introduction to Algebra Bits for 10th Class will help students to build their problem-solving skills.

TS 6th Class Maths Bits Chapter 9 Introduction to Algebra

Question 1.
For which value of m, 4m = 20 ?
A) 24
B) 3
C) 5
D) 16
Answer:
C) 5

Question 2.
The solution of 6x = 24 is _______.
A) 18
B) 6
C) 4
D) 30
Answer:
C) 4

Question 3.
If m = 2, the value of 5m + 6 is
A) 11
B) 26
C) 21
D) 16
Answer:
D) 16

Question 4.
The value of p which satisfies the equation 2p – 1 = 5 is
A) 1
B) 2
C) 6
D) 3
Answer:
D) 3

Question 5.
The value of l which satisfies the equation 7l + 1 = 15 is
A) 1
B) 2
C) – 1
D) 0
Answer:
B) 2

Question 6.
Value of 5p – 4 when p = 0 is
A) – 4
B) 1
C) 6
D) 11
Answer:
A) – 4

Question 7.
Value of – x + 5 when x = – 1 is
A) 4
B) 6
C) 3
D) 7
Answer:
B) 6

Question 8.
Value of \(\frac{2 m-1}{5}\) when m = 3 is
A) 0
B) – 1
C) 1
D) \(\frac{1}{5}\)
Answer:
C) 1

Question 9.
For which value of t, the LHS and RHS of t – 1 = 6 are equal ?
A) 7
B) 6
C) 4
D) 5
Answer:
A) 7

Question 10.
The expression for “11 subtracted from 2m” is
A) 2m – 11
B) 11 – 2m
C) 2m + 11
D) 22m
Answer:
A) 2m – 11

Question 11.
The expression for “8 added to 2 times p” is
A) 8 + p
B) p + 16
C) 8 + 2p
D) 16p
Answer:
C) 8 + 2p

Question 12.
The expression for “- p multiplied 5” is
A) – 5p
B) – p + 5
C) p + 5
D) \(\frac{-5}{p}\)
Answer:
A) – 5p

Question 13.
Suresh is 12 years old. Ramesh’s age is x years more than that of Suresh. So, the age of Ramesh is
A) 12 + x
B) x – 12
C) 12 – x
D) 12x
Answer:
A) 12 + x

Question 14.
The expression for “5 times y from which 3 is subtracted” is
A) 3 – 5y
B) 5y – 3
C) 5 + 3y
D) y + 15
Answer:
B) 5y – 3

Question 15.
The expression for “10 added to 3 times of p”
A) 30 + p
B) 10p + 3
C) 10 + 3p
D) 30p
Answer:
C) 10 + 3p

Question 16.
Saritha’s present age is ‘y’ years. Her age 3 years back was
A) y + 3
B) 3 – y
C) 3y
D) y – 3
Answer:
D) y – 3

Question 17.
Grandfather is 4 years older than grandmother. If the age of grand¬mother is x years, then the age of grandfather is
A) x + 4
B) 4 – x
C) 4x
D) x – 4
Answer:
A) x + 4

Question 18.
Number of pencils with Rama is 3 more than Raja. Find the number of pencils with Rama in terms of what Raja has
A) p + 3
B) y – 3
C) x × 3
D) \(\frac{z}{3}\)
Answer:
A) p + 3

Question 19.
A number is twice less than three. The number can be expressed as _______
A) \(\frac{2 x}{3}\)
B) 2x + 3
C) \(\frac{x}{2}\) – 3
D) 2x – 3
Answer:
D) 2x – 3

Question 20.
If the cost of one pen is 11. What is the cost of 12 such pens ?
A) ₹ 122
B) ₹ 132
C) ₹ 121
D) ₹ 134
Answer:
B) ₹ 132

Question 21.
Write an expression for the statement “7 times of q is subtracted from twice of p”
A) 7p – 2q
B) 7 (p – 2q)
C) 2p – 7q
D) 2 (p – 7q)
Answer:
C) 2p – 7q

Question 22.
Write an expression for “y is divided by 4 and 7 is subtracted from Quotient”.
A) \(\frac{y}{4}\) – 7
B) 4y – 7
C) \(\frac{4}{y}\) – 7
D) \(\frac{y}{4}\) + 7
Answer:
A) \(\frac{y}{4}\) – 7

Question 23.
Perimeter of a square of side ‘a’ is
A) a²
B) 4a
C) a³
D) 4a²
Answer:
B) 4a

Question 24.
What is the area of a square, whose side is ‘p’ units (in sq. units) ?
A) 4p²
B) p³
C) 4p
D) p²
Answer:
D) p²

Question 25.
What is the perimeter of an equilateral triangle, whose side is ‘x’ units ?
A) 3x²
B) \(\frac{\sqrt{3}}{4}\)x²
C) 3x
D) \(\frac{\sqrt{3}}{2}\)x
Answer:
C) 3x

Question 26.
L.H.S of – 7 = 2l – 5 is
A) – 7
B) 2l – 5
C) 2
D) – 2
Answer:
A) – 7

Question 27.
R.H.S of 3z + 2 = 5 – 3z
A) 3z + 2
B) 5 – 3z
C) 3
D) 2
Answer:
B) 5 – 3z

Question 28.
If x – 3 = – 5 then x =
A) 2
B) – 2
C) 8
D) – 8
Answer:
B) – 2

Question 29.
If \(\frac{1}{2 z}=-\frac{7}{6}\) then z = _______
A) \(\frac{-3}{7}\)
B) \(\frac{-7}{3}\)
C) \(\frac{3}{7}\)
D) \(\frac{-4}{3}\)
Answer:
A) \(\frac{-3}{7}\)

Question 30.
Which of the following is an equation?
A) 3x < 5
B) – < 3 C) 2p = 14 D) l + 5 > 9
Answer:
C) 2p = 14

Question 31.
If – 15 = \(\frac{- 3p}{2}\)
⇒ p = _______
A) – 5
B) 5
C) – 10
D) 10
Answer:
D) 10

Question 32.
Which of the following is not a variable ?
A) a
B) l
C) 2
D) x
Answer:
C) 2

Question 33.
2x – 5 =
i) 5 is subtracted from twice of x
ii) 5 is subtracted from two times of x
iii) the difference of 5 and 2x
A) only (i) is true
B) only (i) & (ii) are true
C) only (ii) is true
D) only (iii) is true
Answer:
B) only (i) & (ii) are true

Question 34.
\(\frac{11 x-5}{7}\) =
i) 5 is subtracted from 11 times of x and the difference is divided by 7.
ii) 11 times of x is subracted from 5 and is divided by 7.
iii) the difference of 11x and 5 is multiplied by 7.
A) only (i) is true
B) only (ii) is true
C) only (iii) ¡s true
D) (i), (ii) & (iii) are all false
Answer:
A) only (i) is true

Question 35.
\(\frac{z}{5}\) – 3 =
i) 3 is subtracted from one – fifth of z
ii) one – fifth of z is subtracted from 3
A) Both (i) & (ii) are true
B) (i) – is true and (ii) is false
C) (i) – is false and (ii) is true
D) Both (i) & (ii) are false
Answer:
B) (i) – is true and (ii) is false

Question 36.
Match the following :

A) 1 – a, 2 – b, 3 – c
B) 1- b, 2 – c, 3 – d
C) 1 – c, 2 – a, 3 – d
D) 1 – c, 2 – b, 3 – d
Answer:
C) 1 – c, 2 – a, 3 – d

Question 37.
Match the no. of sticks are used in each patterns of the following figures :

A) 1 – a, 2 – c, 3 – b
B) 1 – a, 2 – b, 3 – c
C) 1 – c, 2 – b, 3 – a
D) 1 – b, 2 – c, 3 – a
Answer:
A) 1 – a, 2 – c, 3 – b

Question 38.
Match the patterns of the following figures:

A) 1 – a, 2 – b, 3 – c
B) 1 – b, 2 – c, 3 – a
C) 1 – b, 2 – a, 3 – c
D) 1 – a, 2 – c, 3 – b
Answer:
B) 1 – b, 2 – c, 3 – a

Question 39.
What is the pattern of the series 2, 4, 6, 8 _______?
A) \(\frac{p}{2}\)
B) 2^p
C) 2p
D) 2 + p
Answer:
C) 2p

Question 40.
What is the pattern of 3, 6, 9, 12, _______?
A) 3p
B) 3^p
C) \(\frac{3}{p}\)
D) 3 + p
Answer:
A) 3p

Question 41.
What is the pattern of the letter ‘H’ ?
A) 3x
B) 2x
C) 4x
D) x
Answer:
A) 3x

Question 42.
What is the pattern of the series 4, 7, 10, 13, _______ ?
A) 3s – 1
B) 3s + 1
C) 3s + 2
D) 2s + 1
Answer:
B) 3s + 1

Question 43.
A pattern of letter ‘T’ is _______
A) s²
B) 2 + s
C) 2s
D) s + 1
Answer:
C) 2s

Question 44.
Find the rule for the pattern.

A) 4s + 1
B) 2s + 1
C) 3s + 1
D) 4s – 1
Answer:
D) 4s – 1

Question 45.
If the cost of one bag is ₹ 110, then what is rule for the cost of ‘m’ bags ?
A) 110 + m
B) 110 m
C) \(\frac{110}{m}\)
D) 110m
Answer:
B) 110 m

Question 46.
In a pattern 5a – 1 if a = 4 then 5a – 1 = ?
A) 9
B) – 19
C) 21
D) 19
Answer:
D) 19

Question 47.
What is the nth term of the sequences 2, 5, 8, 1 _______?
A) 3p + 1
B) 3p – 1
C) 2s + 1
D) 4p – 1
Answer:
B) 3p – 1

Question 48.
The n,h term of the sequences 1, 4, 9, 16, 25 ……….. is
A) y
B) 2s
C) s²
D) s³
Answer:
C) s²

Question 49.
Which of the following is a root of 2n + 5 = 27 ?
A) 11
B) 12
C) 10
D) 9
Answer:
A) 11

Question 50.
In 2x + 3 = 9, x is called the
A) power
B) variable
C) constant
D) degree
Answer:
B) variable

Question 51.
The LHS of 3y + 8 = 11 is
A) 11
B) 3y
C) 8
D) 3y + 8
Answer:
D) 3y + 8

Question 52.
The RHS of 10 = 7p + 16 is
A) 10
B) 7p + 16
C) 7p
D) 16
Answer:
B) 7p + 16

Question 53.
Represent the following statement in an equation “7 is subtracted from 4 times of x and the differene is equal to 21”
A) 4x – 7 = 21
B) 4x + 7 = 21
C) 4x- 21 = 7
D) 4x + 21 = 7
Answer:
A) 4x – 7 = 21

Solving these TS 6th Class Maths Bits with Answers 7th Lesson Fractions and Decimals Bits for 10th Class will help students to build their problem-solving skills.

TS 6th Class Maths Bits Chapter 7 Fractions and Decimals

Choose the correct answer and write it in the brackets.

Question 1.
4\(\frac{2}{10}\) cm = ______ cm.
A) 4.5
B) 4.1
C) 4.2
D) 4.8
Answer:
C) 4.2

Question 2.
How much is 325 paise?
A) Rs. 32.5
B) Rs. 3.25
C) Rs. 325
D) Rs. 0.325
Answer:
B) Rs. 3.25

Question 3.
\(\frac{278}{1000}\) =
A) 2.78
B) 27.8
C) 0.278
D) 0.0278
Answer:
C) 0.278

Question 4.
\(\frac{132}{100}\) =
A) 0.132
B) 0.0132
C) 1.32
D) 13.2
Answer:
C) 1.32

Question 5.
\(\frac{27}{4}\) =
A) 6\(\frac{1}{4}\)
B) 6 – \(\frac{1}{4}\)
C) 6 × \(\frac{1}{4}\)
D) 6 \(\frac{3}{4}\)
Answer:
D) 6 \(\frac{3}{4}\)

Question 6.
\(\frac{15}{6}\) =
A) 2 \(\frac{3}{6}\)
B) 2 \(\frac{5}{6}\)
C) 1 \(\frac{1}{6}\)
D) 1 \(\frac{5}{6}\)
Answer:
A) 2 \(\frac{3}{6}\)

Question 7.
1\(\frac{3}{7}\) =
A) \(\frac{16}{7}\)
B) \(\frac{10}{7}\)
C) \(\frac{15}{7}\)
D) \(\frac{11}{7}\)
Answer:
B) \(\frac{10}{7}\)

Question 8.
\(\frac{1}{3}+\frac{5}{6}\) =
A) \(\frac{4}{6}\)
B) \(\frac{6}{9}\)
C) \(\frac{5}{9}\)
D) \(\frac{7}{6}\)
Answer:
D) \(\frac{7}{6}\)

Question 9.
\(2 \frac{1}{3}+1 \frac{2}{3}=\frac{1}{3}+\frac{2}{3}+\ldots .\) =
A) 1
B) 2
C) 3
D) 0
Answer:
C) 3

Question 10.
\(\frac{12}{15}-\frac{3}{15}\) =
A) \(\frac{9}{15}\)
B) 9
C) \(\frac{15}{30}\)
D) \(\frac{36}{15}\)
Answer:
A) \(\frac{9}{15}\)

Question 11.
\(\frac{3}{7}\) of 140 is
A) 20
B) 60
C) 140 × \(\frac{7}{3}\)
D) \(\frac{3}{7} \times \frac{1}{140}\)
Answer:
B) 60

Question 12.
If \(\frac{1}{3}\) of a number 14, then the number is:
A) 14 × \(\frac{1}{3}\)
B) 14 × \(\frac{3}{1}\)
C) \(\frac{14 \times 2}{3}\)
D) \(\frac{14 \times 3}{2}\)
Answer:
B) 14 × \(\frac{3}{1}\)

Question 13.
Equivalent fraction to \(\frac{3}{4}\) is
A) \(\frac{6}{4}\)
B) \(\frac{3}{8}\)
C) \(\frac{6}{8}\)
D) \(\frac{7}{4}\)
Answer:
C) \(\frac{6}{8}\)

Question 14.
Equivalent fraction to \(\frac{5}{8}\) is
A) \(\frac{10}{8}\)
B) \(\frac{5}{16}\)
C) \(\frac{13}{8}\)
D) \(\frac{10}{16}\)
Answer:
D) \(\frac{10}{16}\)

Question 15.
\(\frac{1}{4}+\frac{1}{4}+\frac{1}{4}\) =
A) \(\frac{2}{4}\)
B) \(\frac{3}{4}\)
C) 1 \(\frac{1}{4}\)
D) \(\frac{1}{12}\)
Answer:
B) \(\frac{3}{4}\)

Question 16.
In the adjacent figure, the fraction representing the shaded portion is

A) \(\frac{1}{2}\)
B) \(\frac{1}{3}\)
C) \(\frac{1}{4}\)
D) \(\frac{3}{4}\)
Answer:
C) \(\frac{1}{4}\)

Question 17.
In the below figure, the fraction representing the shaded portion is

A) \(\frac{2}{6}\)
B) \(\frac{1}{6}\)
C) \(\frac{3}{6}\)
D) \(\frac{1}{5}\)
Answer:
A) \(\frac{2}{6}\)

Question 18.
\(\frac{1}{2}\) lies on the number line between
A) 1 and 2
B) 0 and 1
C) 0 and – 1
D) – 1 and – 2
Answer:
B) 0 and 1

Question 19.
Which of the following is a proper fraction?
A) 2 \(\frac{1}{2}\)
B) \(\frac{17}{21}\)
C) \(\frac{15}{7}\)
D) \(\frac{4}{3}\)
Answer:
B) \(\frac{17}{21}\)

Question 20.
Which of the following is not a proper fraction?
A) \(\frac{3}{2}\)
B) \(\frac{1}{7}\)
C) \(\frac{7}{11}\)
D) \(\frac{9}{11}\)
Answer:
A) \(\frac{3}{2}\)

Question 21.
the shaded portion represents the fraction ______
A) \(\frac{8}{7}\)
B) \(\frac{7}{8}\)
C) \(\frac{1}{8}\)
D) \(\frac{1}{7}\)
Answer:
C) \(\frac{1}{8}\)

Question 22.
Write as mixed fraction.
A) 24 \(\frac{1}{5}\)
B) 23 \(\frac{2}{5}\)
C) 22 \(\frac{3}{5}\)
D) 21 \(\frac{4}{5}\)
Answer:
A) 24 \(\frac{1}{5}\)

Question 23.
10 + \(\frac{4}{7}\) = ______
A) \(\frac{40}{7}\)
B) 2
C) \(\frac{14}{7}\)
D) 10 \(\frac{4}{7}\)
Answer:
D) 10 \(\frac{4}{7}\)

Question 24.
11 \(\frac{7}{9}\) = ______
A) \(\frac{92}{7}\)
B) \(\frac{106}{9}\)
C) \(\frac{116}{4}\)
D) \(\frac{105}{9}\)
Answer:
B) \(\frac{106}{9}\)

Question 25.
The lowest form of is ______
A) \(\frac{4}{3}\)
B) \(\frac{6}{5}\)
C) \(\frac{3}{2}\)
D) \(\frac{3}{4}\)
Answer:
C) \(\frac{3}{2}\)

Question 26.
Which of the following is not in the standard form?
A) \(\frac{1}{3}\)
B) \(\frac{17}{7}\)
C) \(\frac{3}{9}\)
D) \(\frac{4}{23}\)
Answer:
C) \(\frac{3}{9}\)

Question 27.
The standard form of \(\frac{28}{63}\) is ______.
A) \(\frac{4}{7}\)
B) \(\frac{4}{9}\)
C) \(\frac{9}{4}\)
D) \(\frac{7}{9}\)
Answer:
B) \(\frac{4}{9}\)

Question 28.
Which of the following pair of fractions are like fractions?
A) \(\left(\frac{1}{3}, \frac{9}{6}\right)\)
B) \(\left(\frac{2}{3}, \frac{10}{20}\right)\)
C) \(\left(\frac{2}{4}, \frac{6}{12}\right)\)
D) \(\left(\frac{4}{5}, \frac{9}{8}\right)\)
Answer:
C) \(\left(\frac{2}{4}, \frac{6}{12}\right)\)

Question 29.
Which of the following pair of fractions are not equivalent fractions?
A) \(\left(\frac{4}{6}, \frac{10}{15}\right)\)
B) \(\left(\frac{15}{12}, \frac{45}{36}\right)\)
C) \(\left(\frac{1}{2}, \frac{9}{18}\right)\)
D) \(\left(\frac{4}{7}, \frac{28}{21}\right)\)
Answer:
A) \(\left(\frac{4}{6}, \frac{10}{15}\right)\)

Question 30.
Which of the following is the biggest fraction?
A) \(\frac{11}{99}\)
B) \(\frac{400}{250}\)
C) \(\frac{37}{13}\)
D) \(\frac{4}{5}\)
Answer:
C) \(\frac{37}{13}\)

Question 31.
Which of the following is the smallest fraction?
A) \(\frac{2}{11}\)
B) \(\frac{7}{11}\)
C) \(\frac{3}{11}\)
D) \(\frac{9}{11}\)
Answer:
A) \(\frac{2}{11}\)

Question 32.
Which of the following are in ascending order?
A) \(\frac{11}{2}, \frac{11}{3}, \frac{11}{4}\)
B) \(\frac{1}{2}, \frac{3}{2}, \frac{2}{2}\)
C) \(\frac{5}{10}, \frac{9}{10}, \frac{7}{10}\)
D) \(\frac{13}{4}, \frac{13}{3}, \frac{13}{2}\)
Answer:
D) \(\frac{13}{4}, \frac{13}{3}, \frac{13}{2}\)

Question 33.
What is the descending order of \(\frac{1}{4}, \frac{1}{2}, \frac{1}{8}, \frac{3}{4}\) is ______
A) \(\frac{1}{8}, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}\)
B) \(\frac{3}{4}, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}\)
C) \(\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{3}{4}\)
D) \(\frac{3}{4}, \frac{1}{8}, \frac{1}{4}, \frac{1}{2}\)
Answer:
B) \(\frac{3}{4}, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}\)

Question 34.
Evaluate \(\frac{11}{17}+\frac{21}{17}+\frac{7}{17}\)
A) \(\frac{39}{17}\)
B) \(\frac{38}{17}\)
C) \(\frac{37}{17}\)
D) \(\frac{41}{17}\)
Answer:
A) \(\frac{39}{17}\)

Question 35.
Add: \(\frac{1}{3}+\frac{2}{6}+\frac{5}{6}\)
A) \(\frac{10}{6}\)
B) \(\frac{2}{3}\)
C) \(\frac{3}{2}\)
D) \(\frac{8}{6}\)
Answer:
C) \(\frac{3}{2}\)

Question 36.
\(2 \frac{1}{8}+3 \frac{1}{6}\) = ______?
A) 6 \(\frac{7}{24}\)
B) 4 \(\frac{7}{24}\)
C) 5 \(\frac{6}{24}\)
D) 5 \(\frac{7}{24}\)
Answer:
D) 5 \(\frac{7}{24}\)

Question 37.
Subtract from is ______
A) \(\frac{4}{45}\)
B) \(\frac{6}{90}\)
C) \(\frac{7}{90}\)
D) \(\frac{8}{90}\)
Answer:
C) \(\frac{7}{90}\)

Question 38.
SimplIfy: \(\frac{11}{9}-\frac{5}{4}\)
A) \(\frac{1}{36}\)
B) \(\frac{-1}{36}\)
C) \(\frac{-1}{3}\)
D) \(\frac{-1}{18}\)
Answer:
B) \(\frac{-1}{36}\)

Question 39.
Romy read of the page of a text book, then the remaining pages to be read are ______ ?
A) \(\frac{4}{7}\)
B) \(-\frac{4}{7}\)
C) \(-\frac{3}{7}\)
D) \(\frac{7}{4}\)
Answer:
A) \(\frac{4}{7}\)

Question 40.
2070 paisa = ______ rupees.
A) ₹ 2.070
B) ₹ 20.70
C) ₹ 207.0
D) ₹ 20
Answer:
B) ₹ 20.70

Question 41.
Write the decimal for the statement “Seven hundred fifty six and 16 hundreths” ?
A) 756.016
B) 756.16
C) 75.616
D) 7541.6
Answer:
B) 756.16

Question 42.
Decimal form of \(\frac{357}{100}\) is ______
A) 0.357
B) 35.7
C) 3.57
D) 0.0357
Answer:
B) 35.7

Question 43.
What is the decimal form of \(\frac{1024}{10000}\)?
A) 0.01024
B) 0.1024
C) 1.024
D) 10.24
Answer:
B) 0.1024

Question 44.
The place value of 5 in 8.765 is ______
A) tens
B) tenths
C) hundredths
D) thousandths
Answer:
D) thousandths

Question 45.
Ascending order of 0.875, 8.75, 0.0875, 87.5 is ______.
A) 87.5, 8.75, 0.875, 0.0875
B) 87.5, 0.0875, 8.75, 0.875
C) 0.0875, 8.75, 0.875, 87.5
D) 0.0875, 0.875, 875, 87.5
Answer:
D) 0.0875, 0.875, 875, 87.5

Question 46.
Add : 3.44 + 0.475 + 76.9
A) 80.825
B) 80.815
C) 79.815
D) 80.715
Answer:
B) 80.815

Question 47.
Subtract 2.89 from 4.5 is ______
A) 1.61
B) 1.62
C) 2.61
D) 1.51
Answer:
A) 1.61

Question 48.
There is a rainfall in a city in 3 consecutive days is 15 mm, 7cm, 110 cm. Then what is the total rainfall in that city in 3 days in (cms)
A) 108.5
B) 107.5
C) 132
D) 109.5
Answer:
A) 108.5

Question 49.
Sri Harsha bought 16.75 mts of cloth, he used 13.125 mts cloth to his own purpose, the remaining cloth is (in mts) ?
A) 3.525
B) 3.0625
C) 3.625
D) 4.625
Answer:
C) 3.625

Question 50.
Which of the following is not a true ?
a) 0.005 + 0.0008 = 0.0058 ( )
b) 0.9 – 0.0756 = 0.8244
c) 7 + \(\frac{5}{10}\) + \(\frac{9}{100}\) + \(\frac{4}{1000}\) = 7.0594
d) 0.576 = \(\frac{576}{1000}\)
A) a, b only
B) b, c only
C) a, b, d only
D) only c
Answer:
D) only c

Question 51.
Which of the following statement is true about convertion of mixed fraction to an improper fraction is ______
i) (Whole Number × Denominator + Numerator) / Denominator
ii) (Whole Number × Numerator + Denominator) / Denominator
iii) (Whole Number × Denominator – Numerator) / Denominator
iv) (Whole Number + Numerator) / Denominator
A) only (i)
B) only (ii)
C) b0th (iii) & (iv)
D) (ii) or (iv)
Answer:
A) only (i)

Question 52.
Which of the following statements is not true
X : Every improper fraction can be expressed as a mixed fraction.
Y : The denominators of the fractions are equal are like fractions.
Z : The Numerator and denominator have no common factor is called standard form.
W: The numerators of the fractions are multiplied by Natural numbers are called equivalent fractions.
A) only X & Y
B) only W
C) only Y & Z
D) X, Y, Z
Answer:
B) only W

Question 53.
Subtraction / Addition of the fractions.

A) a – 3, b – 5, c – 2, d – 1
B) a – 1, b – 2, c – 3, d – 4
C) a – 3, b – 5, c – 1, d – 2
D) a – 3, b – 4, c – 2, d – 1
Answer:
A) a – 3, b – 5, c – 2, d – 1

Question 54.
If \(\frac{7}{11}\) – x = \(\frac{3}{11}\) ⇒ x = ______?
A) \(\frac{4}{11}\)
B) \(\frac{5}{11}\)
C) \(\frac{4}{7}\)
D) None
Answer:
A) \(\frac{4}{11}\)

Question 55.
7 + \(\frac{7}{23}\) = \(\frac{24}{23}\) ⇒ z = ______?
A) \(\frac{8}{23}\)
B) \(\frac{16}{23}\)
C) \(\frac{31}{23}\)
D) \(\frac{17}{23}\)
Answer:
D) \(\frac{17}{23}\)

Question 56.
Use <, =, > for \(\frac{3}{5}\) ______ \(\frac{2}{3}\)?
A) <
B) >
C) =
D) None
A) <

Question 57.
\(\frac{9}{5}\) = ______?
A) \(\frac{27}{16}\)
B) \(\frac{36}{20}\)
C) \(\frac{36}{20}\)
D) \(\frac{45}{35}\)
Answer:
B) \(\frac{36}{20}\)

Question 58.
If 3.4x + 1.y8 = 5.02 then x + y = ______
A) 9
B) 5.4
C) 0.54
D) 54
Answer:
A) 9

Question 59.
\(\frac{3}{5}\) ______ \(\frac{2}{3}\)
A) <
B) >
C) =
D) ≅
Answer:
A) <

Question 60.
\(\frac{5}{6}\) ______ \(\frac{2}{3}\)
A) <
B) =
C) >
D) ×
Answer:
C) >

Question 61.
Statement (P): Some fractions can’t be represent on the number line.
Statement (Q): Equivalent fractions are obtained by multiplying both numerator and denominator by the same number.
A) P – true, Q – false
B) P – true, Q – true
C) P – false, Q – true
D) P – false, Q – true
Answer:
C) P – false, Q – true

Question 62.
“4 cm and 2 mm” – means.
Statement Rajesh : 4 – cm
Statement Ravi : 4.2 cm
Statement Chandrika : 4 and \(\frac{2}{100}\) part = 4.02 cms.
Now, which of these is true or false ?
A) Rajesh – true, Ravi – true, Chandrika- true
B) Rajesh – false, Ravi – false, Chandirka – true
C) Rajesh – true, Ravi – true, Chandrika – false
D) Rajesh – false, Rave – true, Chandrika – false
Answer:
C) Rajesh – true, Ravi – true, Chandrika – false

Question 63.
Assertion (A) : Both numerator and denominator are in lowest terms and do not have any common factor, then the fraction is in standard form.
Reason (R) : For a proper fraction numerator less than’the denominator.
A) ‘A’ is correct, ‘R’ is incorrect
B) ‘A’ is incorrect, R is correct
C) Both ‘A’ and ‘R’ are correct, But ‘R’ is not correct explanation of ‘A’
D) Both ‘A’ and ‘R’ are correct and ‘R’ is the correct explanation of ‘A’.
Answer:
C) Both ‘A’ and ‘R’ are correct, But ‘R’ is not correct explanation of ‘A’

Question 64.
In \(\frac{5}{12}\) is called ______
A) denominator
B) numerator
C) fraction
D) none
Answer:
B) numerator

Question 65.
If numerator is greater than the denominator then the fraction is called ______.
A) Improper fraction
B) Proper fraction
C) Mixed fraction
D) None
Answer:
A) Improper fraction

Question 66.
If Numerator is less than the denominator then the fraction is called ______
A) Improper fraction
B) Proper fraction
C) Mixed fraction
D) None
Answer:
B) Proper fraction

Question 67.
The fractional numbers that have the same denominators are called ______
A) Improper fraction
B) Proper fraction
C) Unlike fractions
D) Like fractions
Answer:
D) Like fractions

Question 68.
In the fraction \(\frac{5}{8}\), ‘8’ stands for ______
A) Part
B) Group
C) Numerator
D) Denominator
Answer:
D) Denominator

Question 69.
In the fraction \(\frac{3}{7}\), ‘3’ stands for ______
A) denominator
B) numerator
C) group
D) part
Answer:
B) numerator

Question 70.
Which of the following is a proper fraction ?
A) \(\frac{2}{5}\)
B) \(\frac{5}{2}\)
C) 2 \(\frac{1}{2}\)
D) 3 \(\frac{1}{3}\)
Answer:
A) \(\frac{2}{5}\)

Question 71.
Which of the following is an improper fraction ?
A) 1\(\frac{3}{4}\)
B) 10 \(\frac{1}{2}\)
C) \(\frac{4}{5}\)
D) \(\frac{5}{4}\)
Answer:
D) \(\frac{5}{4}\)

Question 72.
Which of the following is a mixed fraction ?
A) \(\frac{10}{11}\)
B) \(\frac{11}{10}\)
C) 1 \(\frac{1}{10}\)
D) 1
Answer:
C) 1 \(\frac{1}{10}\)

Solving these TS 6th Class Maths Bits with Answers 6th Lesson Integers Bits for 10th Class will help students to build their problem-solving skills.

TS 6th Class Maths Bits Chapter 6 Integers

Choose the correct answer and write it in the brackets.

Question 1.
Which is the smallest of the numbers – 5, – 4, – 3, – 2 ?
A) – 4
B) – 3
C) – 2
D) – 5
Answer:
D) – 5

Question 2.
Which is the biggest of the numbers – 11, – 9, – 7, – 4?
A) – 11
B) – 9
C) – 4
D) – 7
Answer:
C) – 4

Question 3.
(+ 9) + ( – 3) = _____.
A) 12
B) – 12
C) 6
D) – 6
Answer:
C) 6

Question 4.
(- 8) + 6 = _____.
A) – 2
B) 2
C) – 14
D) 14
Answer:
A) – 2

Question 5.
(- 1) + (- 3) + (4) = _____.
A) – 8
B) 0
C) 8
D) – 4
Answer:
B) 0

Question 6.
3 – (- 1) =_____
A) 2
B) – 4
C) 4
D) 1
Answer:
C) 4

Question 7.
(- 3) + (- 6) = _____.
A) – 9
B) 18
C) 9
D) 3
Answer:
A) – 9

Question 8.
The value of 1 – (-1) + (- 2) is _____.
A) 0
B) – 2
C) 2
D) 4
Answer:
A) 0

Question 9.
The profit of Rs. 200 is represented as _____.
A) + 200
B) – 200
C) \(\frac{1}{200}\)
D) 1 – 200
Answer:
A) + 200

Question 10.
Set of integers Z = { }.
A) {0, 1, 2, ……..}
B) {0, ± 1, ± 2 ………}
C) {1, 2, 3 ……….}
D) None
Answer:
B) {0, ± 1, ± 2 ………}

Question 11.
Which of the following is greatest integer ?
A) – 1
B) – 2
C) – 8
D) – 100
Answer:
A) – 1

Question 12.
Which of the following is a smallest integer ?
A) – 101
B) – 209
C) – 1
D) – 100
Answer:
B) – 209

Question 13.
The sign of the integer used in the state-ment “the temperature of Lambasingi is 10°C below 0°C” is _______.
A) + 10°C
B) + 10°C
C) – 10°C
D) None
Answer:
C) – 10°C

Question 14.
“An aeroplane is flying at a height of 4500 mts” sign to be used in the statement is _____.
A) + 4500 mt
B) – 4500 mts
C) ± 4500 mts
D) None
Answer:
A) + 4500 mt

Question 15.
Which is nearest negative integer to zero ?
A) 0
B) – 1
C) 1
D) – 2
Answer:
B) – 1

Question 16.
{W} U – 20 {- 1, – 2,……..} = ……….. ?
A) N
B) Z
C) Q
D) W
Answer:
B) Z

Question 17.
Which of the following are in descending order ?
A) 1, 3, – 6
B) – 5,- 3, – 1
C) 3, 0, – 1
D) – 1, 0, 3
Answer:
C) 3, 0, – 1

Question 18.
Ascending order of – 2, 0, 1, – 1, 5 is _____.
A) 0, – 1, – 2, 1, 5
B) 5, 1, 0, – 1, – 2
C) – 1, – 2, 1, 0, 5
D) – 2, – 1, 0, 1, 5
Answer:
D) – 2, – 1, 0, 1, 5

Question 19.
In which of the following places the temperature is very cool ?
A) Kashmir, – 10°C
B) Lambasingi, – 2°C
C) Shimla, – 6°C
D) Krosur, 12°C
Answer:
A) Kashmir, – 10°C

Question 20.
Represent (- 4) + (- 3) on the number line

D) None
Answer:
A)

Question 21.

represents

A) (- 5) + 3 = – 2
B) 5 + (- 3) = 2
C) (- 5) + 2 = – 3
D) 5 + (- 2) = 3
Answer:
C) (- 5) + 2 = – 3

Question 22.

A) 3 + (- 3) = 0
B) (- 3) + (- 3) = – 6
C) 3 + 3 = 6
D) None
Answer:
A) 3 + (- 3) = 0

Question 23.
What is the additive inverse of – 7 ?
A) 1
B) 0
C) – 7
D) 7
Answer:
D) 7

Question 24.
What is the value of (- 131) + 76 + (- 123) + 230 = ?
A) – 32
B) 42
C) – 52
D) 52
Answer:
D) 52

Question 25.
Simplify (- 11) + 222 + (- 333) + (- 444) = _____?
A) – 466
B) + 566
C) 566
D) 466
Answer:
C) 566

Question 26.
Subtract (- 119) from – 1024
A) – 905
B) 905
C) – 805
D) 805
Answer:
A) – 905

Question 27.
What is the sum of – 1, 1, 0, 2, – 5, – 7, 9 is?
A) 1
B) – 1
C) 0
D) – 2
Answer:
B) – 1

Question 28.
What is the sum of 25 + (- 21) + (- 20) + 17 + (- 1) = _____?
A) 0
B) 1
C) – 1
D) 2
Answer:
A) 0

Question 29.
Subtract – 71 from 19
A) – 90
B) 90
C) 62
D) -52
Answer:
B) 90

Question 30.
A frog was fell into a 30 m deep well. Each day it managed to climb up 3 m, but the following height, it slipped back 2 m. In how many number of days did it get out of the well ?
A) 31 days
B) 29 days
C) 30 days
D) 15 days
Answer:
C) 30 days

Question 31.
Matching:

A) a – (i), b – (ii), c – (iii), d – (iv)
B) a – (ii), b – (i), c – (iii), d – (iv)
C) a – (iv), b – (iii), c – (i), d – (iii)
D) a – (i), b – (ii), c – (iv), d – (iii)
Answer:
D) a – (i), b – (ii), c – (iv), d – (iii)

Question 32.
If – 13 + x = 0
⇒ x = _____ ?
A) 11
B) 13
C) – 13
D) 14
Answer:
B) 13

Question 33.
(- 2016) + 2016 = _____?
A) 0
B) 4032
C) 2016
D) None
Answer:
A) 0

Question 34.
Which of the following is true ?
A) (- 4) + (- 5) > (- 5) – (- 4)
B) – 11 > – 9
C) – 1 < 1
D) 1 < – 1
Answer:
C) – 1 < 1

Question 35.
Which of the following is not true ?
A) – 5 > – 2
B) Zero is on right side
C) 0 < 1
D) Every + ve integer is less than zero
Answer:
D) Every + ve integer is less than zero

Question 36.
(- 5) + x = – 15
⇒ x = _____?
A) – 10
B) 10
C) – 9
D) 9
Answer:
A) – 10

Question 37.
Which is to the left of – 2 on the following number line ?

A) 0
B) – 1
C) – 2
D) – 3
Answer:
D) – 3

Question 38.
In the above figure, which is to the right of ‘0’?
A) – 1
B) 1
C) – 3
D) – 2
Answer:
B) 1

Question 39.
The number that comes after – 3 on the number line is _____.
A) – 2
B) 2
C) – 4
D) 3
Answer:
C) – 4

Question 40.
0 _____ – 8
A) >
B) =
C) <
D) ≅
Answer:
A) >

Question 41.
– 3 _____ – 1
A) >
B) <
C) =
D) ≅
Answer:
B) <

Question 42.
– 15 _____ – 10
A) >
B) =
C) +
D) <
Answer:
D) <

Question 43.
A deposit of rupees two hundred is represented as _____ with appropriate sign.
A) – 200
B) + 200
C) – \(\frac{1}{200}\)
D) \(\frac{1}{200}\)
Answer:
B) + 200

Question 44.
100 m above sea level is represented as _______ with appropriate sign.
A) + 100
B) – 100
C) \(\frac{1}{100}\)
D) \(-\frac{1}{100}\)
Answer:
A) + 100

Question 45.
3 more than 5 is written as _____.
A) 5 + 3
B) 5 – 3
C) 5 × 3
D) \(\frac{5}{3}\)
Answer:
A) 5 + 3

Question 46.
6 less than 2 is written as
A) 6 – 2
B) 6 × 2
C) 2 – 6
D) 6 2
Answer:
C) 2 – 6

Question 47.
Read the following statements: Decide which are true ?
i) – 8 is right side of ‘0’
ii) 0 lies between – 1 and 1
iii) – 100 > 0
iv) – 121 < 1
v) \(\frac{-9}{11}>\frac{-11}{9}\)
vi) \(\frac{-2}{3}+\frac{2}{3}\) ≠ 0
A) (i), (iii), (v) are false
B) (ii), (iv), (vi) are true
C) (i), (iii), (vi) are false
D) (ii), (iv), (vi) are false
Answer:
D) (ii), (iv), (vi) are false

Question 48.
Which of the following statements are true?
a) Ascending order of 5, – 7, – 3 is – 7, – 3, + 5
b) Descending order of 0, 1, – 2, 3, – 5 is 3, 1, 0, – 2, – 5
c) – 4 > – 3 > 0 > 1
d) – 12 < – 5 < – 3
A) a, b, c are true
B) b, c, d are true
C) a, c, d are true
D) a, b, d are true
Answer:
D) a, b, d are true

Question 49.
Which of the following is true ?
a) 9 steps to the left of 5 is – 4
b) 17 steps to the right of – 8 is – 1.
c) 6 steps to the right of – 21 is – 15
d) 11 steps to the left of 34 is 23.
A) only a
B) only a, c
C) only c, d
D) a, c & d
Answer:
D) a, c & d

Question 50.
Set of integers are denoted by _____.
A) N
B) W
C) Q
D) Z
Answer:
D) Z

Question 51.
The least number in the set of integers is _____.
A) – 1
B) 0
C) 1
D) Can’t be determined
Answer:
D) Can’t be determined

Question 52.
The sum of two negative integers is an integer.
A) + ve
B) – ve
C) Both + ve and – ve
D) None
Answer:
B) – ve

Question 53.
The subtraction of two integers is the same as the addition of their
A) additive identity
B) additive inverse
C) given numbers
D) multiplicative inverse
Answer:
B) additive inverse

Question 54.
To represent – 5 on the number line, we _____
A) move 5 steps to the right of ‘0’.
B) move 5 steps to the left of ‘0’.
C) move 5 steps to the right of – 5.
D) move 5 steps to the left of – 5.
Answer:
B) move 5 steps to the left of ‘0’.

Question 55.

the above figure represents
A) – 5 + 9
B) – 5 + 4
C) – 4 + 9
D) – 5 + (- 4)
Answer:
A) – 5 + 9

Question 56.
Representation of 4 × 4 on the number line is _______.

Answer:

B)

Question 57.
Represent (- 2) + 9 + (- 3) on the number line

Answer:

B)

Solving these TS 6th Class Maths Bits with Answers 5th Lesson Measures of Lines and Angles Bits for 10th Class will help students to build their problem-solving skills.

TS 6th Class Maths Bits Chapter 5 Measures of Lines and Angles

Choose the correct answer and write it in the brackets:

Question 1.
Which of the following is an obtuse angle?
A) 90°
B) 45°
C) 135°
D) 180°
Answer:
C) 135°

Question 2.
270° is an example for ________.
A) Right angle
B) Obtuse angle
C) Straight angle
D) Reflex angle
Answer:
D) Reflex angle

Question 3.
A right angle measures ________.
A) 180°
B) 90°
C) 150°
D) 360°
Answer:
B) 90°

Question 4.
A complete angle measures ________.
A) 180°
B) 0°
C) 360°
D) 200°
Answer:
C) 360°

Question 5.
Which of the following is an acute angle?

Answer:
B)

Question 6.
From the below figure \(\overline{\mathbf{B C}}\) = ________ cm.

A) 2cm
B) 3cm
C) 2.5 cm
D) 3.5 cm
Answer:
C) 2.5 cm

Question 7.
Line segment AB is denoted by ________.
A) \(\overline{\mathrm{AB}}\)
B) \(\stackrel{\leftrightarrow}{\mathrm{AB}}\)
C) \(\overrightarrow{\mathrm{AB}}\)
D) \(\overrightarrow{\mathrm{BA}}\)
Answer:
A) \(\overline{\mathrm{AB}}\)

Question 8.
Which of the following is not an example of a line segment?
A) Edge of a door
B) Edge of a textbook
C) Edge of a celiphone
D) Curve of a ball
Answer:
D) Curve of a ball

Question 9.
What is the angle between minute and hours hand when it is 9.00 A.M?
A) 90°
B) 180°
C) 270°
D) 45°
Answer:
A) 90°

Question 10.
Which of the following represents an angle 180° between the hands of a clock at ________.
A) 630 P.M
B) 6.00 P.M
C) 12.00 P.M
D) 8.45 A.M
Answer:
B) 6.00 P.M

Question 11.
Which of the following represents an acute angle?

Answer:

C)

Question 12.
Which of the following is an obtuse angle?

Answer:

A)

Question 13.
Which of the following is a right angle?
A) 45°
B) 90°
C) 120°
D) 180°
Answer:
B) 90°

Question 14.
Which of the following is a straight angle?
A) 0°
B) 90°
C) 180°
D) 360°
Answer:
C) 180°

Question 15.
Which of the following is a reflex angle?
A) 175°
B) 180°
C) 360°
D) 270°
Answer:
D) 270°

Question 16.
Which of the following is a complete angle?
A) 90°
B) 180°
C) 270°
D) 360°
Answer:
D) 360°

Question 17.
Which of the following are perpendicular lines?

Answer:

A)

Question 18.
Number of perpendicular lines can be drawn to a given lines?
A) 0
B) 1
C) 2
D) Infinite
Answer:
D) Infinite

Question 19.
1° = ________ part of one rotation.
A) \(\frac{1}{90^{\text {th }}}\)
B) \(\frac{1}{180^{\text {th }}}\)
C) \(\frac{1}{270^{\text {th }}}\)
D) \(\frac{1}{360^{\text {th }}}\)
Answer:
D) \(\frac{1}{360^{\text {th }}}\)

Question 20.
Which of the following are parallel line?

Answer:

B)

Question 21.

A) 1 – a, 2 – b, 3 – c, 4 – d
B) 1 – d, 2 – e, 3 – c, 4 – a
C) 1 – e, 2 – c, 3 – d, 4 – b
D) 1 – e, 2 – c, 3 – b, 4 – d
Answer:
C) 1 – e, 2 – c, 3 – d, 4 – b

Question 22.

A) 1 – d, 2 – c, 3 – b, 4 – a
B) 1 – c, 2 – a, 3 – d, 4 – b
C) 1 – a, 2 – c, 3 – d, 4 – b
D) 1 – c, 2 – a, 3 – b, 4 – d
Answer:
B) 1 – c, 2 – a, 3 – d, 4 – b

Question 23.
How many right angles make a complete angle?
A) 1
B) 2
C) 3
D) 4
Answer:
D) 4

Question 24.
Which of the following is not true from the given below figure ?

A) AC + CD + DB = AB
B) \(\overline{\mathrm{CD}}\) = AB – (AC + DB)
C) \(\overline{\mathrm{CD}}=\overline{\mathrm{AD}}-\overline{\mathrm{AC}}\)
D) \(\overline{\mathrm{CD}}=\overline{\mathrm{BD}}-\overline{\mathrm{AC}}\)
Answer:
D) \(\overline{\mathrm{CD}}=\overline{\mathrm{BD}}-\overline{\mathrm{AC}}\).

Question 25.
Which of the following is true from the above figure?
A) AC > AD
B) CD >BC
C) AD < BD
D) BC > AC
Answer:
D) BC > AC

Question 26.
Right angle lies between which two angles?
A) 0 – 45°
B) 0° – 89°
C) 45° – 90°
D) 0° – 99°
Answer:
D) 0° – 99°

Question 27.
Which of the following is not true ?
A) 450° is an acute angle
B) 120° is an obtuse angle
C) 181° is a straight angle
D) 360° is a complete angle
Answer:
C) 181° is a straight angle.

Question 28.
Which of the following is not true ?
A) Intersecting lines meet at a single point.
B) Non-intersecting lines are parallel
C) If two lines are ⊥ then the angle between them is 90°
D) A line separates a plane into 4 parts.
Answer:
D) A line separates a plane into 4 parts.

Question 29.
Statement (I) : Ruler is used to draw linesegments.
Statement (II) : Divider is used to compare lengths of linesegments
A) Both I & II are true
B) Both I & II are false
C) I is true but II is false
D) I is false but II is true
Answer:
B) Both I & II are false

Question 30.
Statement (I): Acute angle is less than 90°.
Statement (II): Right angle is 90°
Statement (III): 180° < ∠P < 360°, the P is a reflex angle
A) I, II, & III are true
B) I, II are true but III is false
C) I, III are true but II is false
D) None of these
Answer:
A) I, II, & III are true.

Question 31.
Statement (I): 1° = \(\frac{1}{360}\) th part of one rotation.
Statement (II): 45° + 45° = right angle
Statement (III): 120° + 90° = reflex angle
A) I, II, III are false
B) I, II are true but III is false
C) I is true but II & III are false
D) I, II, III are true
Answer:
D) I, II, III are true.

Question 32.
An angle which is less than 90° is angle called a ________.
A) Acute
B) Right
C) Obtuse
D) Reflex
Answer:
A) Acute

Question 33.
An angle which is 90° < 0 < 180° then θ is ________.
A) Acute
B) Right
C) Obtuse
D) Straight
Answer:
C) Obtuse

Question 34.
An angle which lies between 180 ° and 360° then it is called a ________ angle.
A) Right
B) Straight
C) Complete
D) Reflex
Answer:
D) Reflex

Question 35.
Non-intersecting lines are called ________ lines.
A) Parallel
B) Perpendicular
C) Intersecting
D) Concurrent
Answers:
A) Parallel

Question 36.
If two lines meet at 90° then they are called ________ lines.
A) Parallel
B) Perpendicular
C) Intersecting
D) Concurrent
Answer:
B) Perpendicular

Question 37.
A line segment has ________ end points.
A) 0
B) 1
C) 2
D) 3
Answer:
C) 2

Question 38.
An angle which is equal to 180° is called a ________ angle.
A) Straight
B) Right
C) Reflex
D) Complete
Answer:
A) Straight

Question 39.
The instrument used to compare and measure angles more precisely is ________.
A) Protractor
B) Divider
C) Ruler
D) Set squares
Answer:
A) Protractor

Question 40.
In the adjacent figure, ∠AOB = ________.

A) 0°
B) 90°
C) 360°
D) 180°
Answer:
D) 180°

Question 41.
Which letter of English alphabet is an example for perpendicular lines ?
A) V
B) T
C) M
D) P
Answer:
B) T

Question 42.
Which letter of English alphabet is an example for both perpendicular lines and parallel lines ?
A) H
B) L
C) X
D) Z
Answer:
A) H

Question 43.
The edges of this instrument are perpendicular to each other ?
A) Divider
B) Compass
C) Set squares
D) Protractor
Answer:
C) Set squares

Question 44.
The type of angle formed between the hands of a clock at 6 ‘O’ clock in the evening ________.
A) Straight line
B) Acute angle
C) Obtuse angle
D) Right angle
Answer:
A) Straight line

Question 45.
At what time the two hands of a clock coincide?
A) At 3′ o clock in the evening
B) At 4′ o clock in the evening
C) At 12 noon
D) At 9′ o clock in the morning
Answer:
C) At 12 noon

Question 46.

from the adjacent figure ∠AOC = ∠BOC then ∠BOC = _____ °?
A) 90°
B) 45°
C) 30°
D) 60°
Answer:
B) 45°

Identify the angle of given figures.

Question 47.

∠XYZ is ________ angle.
A) Acute
B) Right
C) Obtuse
D) Straight
Answer:
A) Acute

Question 48.

∠PQR is ________ angle.
A) Acute
B) Right
C) Obtuse
D) Straight
Answer:
C) Obtuse

Solving these TS 6th Class Maths Bits with Answers 4th Lesson Basic Geometrical Ideas Bits for 10th Class will help students to build their problem-solving skills.

TS 6th Class Maths Bits Chapter 4 Basic Geometrical Ideas

Question 1.
AB ray is denoted by _______.
A) \(\overrightarrow{\mathrm{AB}}\)
B) \(\overline{\mathrm{AB}}\)
C) \(\overleftrightarrow{\mathrm{AB}}\)
D) . A
Answer:
A) \(\overrightarrow{\mathrm{AB}}\)

Question 2.
\(\overleftrightarrow{\mathrm{AB}}\) it represents _______.
A) AB ray
B) AB line segment
C) AB line
D) AB point
Answer:
C) AB line

Question 3.
Line segment PQ is denoted by _______?
A) \(\stackrel{\leftrightarrow}{P Q}\)
B) \(\overrightarrow{\mathrm{PQ}}\)
C) \(\overrightarrow{P Q}\)
D) \(\overleftarrow{\mathrm{PQ}}\)
Answer:
B) \(\overrightarrow{\mathrm{PQ}}\)

Question 4.
Which of the following is open figure/ letter?

Answer:

D)

Question 5.
Which of the following is not a polygon ?

Answer:

D)

Question 6.
Which of the following is a simple curve?

Answer:

C)

Question 7.
From the given figure, which of the following is an angle?

A) ∠AOB
B) \(\overrightarrow{\mathrm{OA}}\)
C) \(\overrightarrow{\mathrm{AB}}\)
D) O
Answer:
A) ∠AOB

Question 8.
From the above figure, the Arms are _______.
A) \(\overrightarrow{\mathrm{OA}}\)
B) \(\overrightarrow{\mathrm{OB}}\)
C) \(\overrightarrow{\mathrm{OC}}\), \(\overrightarrow{\mathrm{OD}}\)
D) All the above
Answer:
D) All the above

Question 9.
From the above figure, ‘O’ is called _______.
A) Point
B) Angle
C) Vertex
D) Arm
Answer:
C) Vertex

Question 10.
From the given figure which points lie outside of the figure?

A) C, U, T
B) A, B
C) D
D) P, Q, R, S
Answer:
A) C, U, T

Question 11.
From the given figure which points are lie inside the figure?

A) C, U, T
B) D
C) A, B
D) P,Q, R, S
Answer:
B) D

Question 12.
From the adjacent figure, the chord of a circle is _______.

A) \(\overline{\mathrm{OX}}\)
B) \(\overline{\mathrm{XY}}\)
C) \(\overline{\mathrm{PQ}}\)
D) \(\overline{\mathrm{OA}}\)
Answer:
C) \(\overline{\mathrm{PQ}}\)

Question 13.
From the above figure, the diameter is _______.
A) \(\overline{\mathrm{OX}}\)
B) \(\overline{\mathrm{XY}}\)
C) \(\overline{\mathrm{PQ}}\)
D) \(\overline{\mathrm{OA}}\)
Answer:
B) \(\overline{\mathrm{XY}}\)

Question 14.
Diameter = _______ × radius.
A) 1
B) 2
C) 3
D) \(\frac{1}{2}\)
Answer:
B) 2

Question 15.
From the given figure, the shaded portion is called _______.

A) Major segment
B) Minor segment
C) Minor sector
D) Half segment
Answer:
B) Minor segment

Question 16.
Match the following.

A) 1 – r, 2 – q, 3 – p, 4 – s
B) 1 – q, 2 – r, 3 – p, 4 – s
C) 1 – r, 2 – q, 3 – s, 4 – p
D) None
Answer:
A) 1 – r, 2 – q, 3 – p, 4 – s

Question 17.
Which of the following is true ?
A) d = 2r
B) d = \(\frac{r}{2}\)
C) r = 2d
D) r = d²
Answer:
A) d = 2r

Question 18.
Which of the following is not true ?
A) A line has no end points
B) A line segment has two end points
C) A ray has no end points
D) A ray has one end point.
Answer:
C) A ray has no end points.

Question 19.
Which of the following is true ?
A) Every figure separates the given plane into three parts.
B) Only one line can drawn through one point
C) A three sided closed polygon is called a Quadrilateral
D) Common end point of two rays is called an angle
Answer:
A) Every figure separates the given plane into three parts.

Question 20.
The length of the chord is _______ when it moves towards the centre of the circle.
A) remains same
B) increases
C) decreases
D) none
Answer:
C) decreases

Question 21.
Which of the following is not true ?
A) r = \(\frac{d}{2}\)
B) An arc is past of a circle
C) All chords are equal in length
D) All radii are equal in length
Answer:
C) All chords are equal in length.

Question 22.
Statement (I) : Diameter is the longest chord in the circle.
Statement (II) : We can draw infinite number of chords in a circle.
A) both ‘I’ and ‘II’ are true
B) I is true, II is false
C) I is false but ‘II’ is true
D) Both I & II are false
Answer:
A) both ‘I’ and ‘II’ are true

Question 23.
Statement (I): A triangle is simple closed figure which formed with 3 line segments
Statement (II) : A triangle divides the plane into 4 regions Statement (III): A triangle has 3 vertices, 3 sides and 2 angles.
A) I, II, III are true
B) I is true, II & III are false
C) I & II are true, III is false
D) I & II are false, III is true.
Answer:
B) I is true, II & III are false

Question 24.
A line segment is formed by number of points are _______.
A) 1
B) 2
C) 3
D) 4
Answer:
B) 2

Question 25.
Which of these following can extend infinitely on both sides is _______.
A) line
B) line segment
C) ray
D) point
Answer:
A) line

Question 26.
Common end points of two rays is called a _______.
A) arm
B) point
C) vertex
D) angle
Answer:
C) vertex

Quadrilateral 27.
Every angle divides the plane as _______ of the angle.
A) Interior
B) Exterior
C) Boundary
D) All the above
Answer:
D) All the above

Quadrilateral 28.
A triangle has _______.
A) 3-sides
B) 3-angles
C) 3-vertices
D) All the above
Answer:
D) All the above

Quadrilateral 29.
A simple closed figure bounded by four line segments is called a _______.
A) quadrilateral
B) triangle
C) polygon
D) none
Answer:
A) quadrilateral

Question 30.
A Quadrilateral has _______.
A) 4 sides
B) 4 angles, 4 vertices
C) 2 – diagonals
D) All the above
Answer:
D) All the above

Quadrilateral 31.
Number of lines can be drawn through one-point _______.
A) 0
B) 1
C) 2
D) infinite
Answer:
D) infinite

Question 32.
Number of lines can be drawn through two points _______.
A) 0
B) 1
C) 2
D) infinite
Answer:
B) 1

Question 33.
Which of the following has definite length ?
A) Line segment
B) Line
C) Ray
D) Vertex
Answer:
A) Line segment

Question 34.
The longest chord of a circle is known as _______.
A) Diameter
B) Radius
C) Segment
D) Sector
Answer:
A) Diameter

Question 35.
The length of a-circle is called _______.
A) radius
B) circumference
C) diameter
D) segment
Answer:
B) circumference

Question 36.
Who wrote the book “the elements’ ?
A) Euclid
B) Aryabhatta
C) Pythagorus
D) Georj Contor
Answer:
A) Euclid

Question 37.
A ray is a portion of _______.
A) A line
B) An arc
C) An angle
D) A sector
Answer:
A) A line

Question 38.
Which of the following has a fixed length ?
A) A ray
B) A line
C) A line segment
D) A point
Answer:
C) A line segment

Question 39.
Curves are of _______ types.
A) 3
B) 2
C) 4
D) 5
Answer:
B) 2

Question 40.
Which of the following denotes a line segment ?
A) \(\overrightarrow{\mathrm{OA}}\)
B) \(\overleftarrow{\mathrm{PQ}}\)
C) AB
D) \(\overline{\mathrm{AB}}\)
Answer:
D) \(\overline{\mathrm{AB}}\)

Question 41.
The number of end points of a ray is _______.
A) 1
B) 2
C) 3
D) infinite
Answer:
A) 1

Question 42.
In the given figure, \(\overrightarrow{\mathrm{OP}}\) is called _______.

A) A line
B) A line segment
C) A ray
D) An arrow
Answer:
C) A ray

Question 43.
Which of the following letters is an example for open curve ?
A) B
B) D
C) O
D) C
Answer:
D) C

Question 44.
In the below figure, O is called _______.

A) The vertex
B) The centre
C) The point
D) The angle
Answer:
A) The vertex

Question 45.
The number of points marked in the interior of the triangle is _______.

A) 3
B) 7
C) 4
D) 1
Answer:
A) 3

Question 46.
Which of the following chords does not pa$g through the centre ?

A) \(\overline{\mathrm{AB}}\)
B) \(\overline{\mathrm{EF}}\)
C) \(\overline{\mathrm{GH}}\)
D) \(\overline{\mathrm{CD}}\)
Answer:
D) \(\overline{\mathrm{CD}}\)

Solving these TS 6th Class Maths Bits with Answers 8th Lesson Data Handling Bits for 10th Class will help students to build their problem-solving skills.

TS 6th Class Maths Bits Chapter 8 Data Handling

Question 1.
If a bar of length 5 cm shows 200 marks, then the number of marks shown by 2 cm bar is ______.
A) 40
B) 100
C) 80
D) 60
Answer:
C) 80

Question 2.
In a pictograph, 6 diagrams show 120 students. The number of students shown by each diagram is ______.
A) 20
B) 12
C) 18
D) 24
Answer:
A) 20

Question 3.
In a pictograph each diagram represents 16 students. Then the number of students represented by 5 diagrams is ______.
A) \(\frac{16}{5}\)
B) \(\frac{5}{16}\)
C) 16 × 5
D) 5 + 16
Answer:
C) 16 × 5

Question 4.
In a pictograph, 12 diagrams represent 240 bicycles. Then the number of bicycles represented by each diagram is ______.
A) 24
B) 20
C) 10
D) 15
Answer:
B) 20

Question 5.
If represents 50, then represents
A) 150
B) 500
C) 200
D) 250
Answer:
D) 250

Question 6.
Marks scored by 25 students in a class for 10 marks are 5, 6, 7, 5, 4, 2, 2, 9, 10, 2, 4, 7, 4, 6, 9, 5, 5, 4, 7, 9, 5, 2, 4, 5, 7. From the above data which mark was obtained by maximum students ?
A) 2
B) 4
C) 7
D) 5
Answer:
D) 5

Question 7.
From the above given data, number of students obtained by least mark is
A) 4
B) 5
C) 3
D) 2
Answer:
A) 4

Question 8.
Number of students obtained the marie ‘7’ are _______
A) 5
B) 4
C) 3
D) 2
Answer:
B) 4

Question 9.
If represents 5 students then represents ______ number of students.
A) 25
B) 15
C) 20
D) 5
Answer:
C) 20

Question 10.
If represents 3 books, then 21 books = ______.

Answer:
D)

Question 11.
If Q = 1000 U.P schools, then Q Q Q Q represents ______ number of U.P schools.
A) 4,000
B) 3,000
C) 1,000
D) 4,500
Answer:
A) 4,000

Question 12.
If 1 unit = 5 cmthen7 units = ______ cms.
A) 40
B) 30
C) 35
D) 32
Answer:
C) 35

Question 13.
If 1 unit = 7 cm then 52.5 cm = ______ units.
A) 7
B) 6
C) 8.5
D) 7.5
Answer:
D) 7.5

Question 14.
Blood groups of 18 persons are given below
B^+ve, B^+ve, B^-ve, O^+ve, O^-ve, AB^+ve, AB^+ve, O^+ve, O^+ve, B^+ve, AB^+ve, O^+ve, O^+ve, O^+ve, AB^+ve, AB^+ve, O^+ve, B^+ve

Now answer the following questions.

a) Which of the following is a rareblood group?
A) AB^+ve
B) O^+ve
C) O^-ve
D) B^+ve
Answer:
C) O^-ve

b) What is the difference between the no.of blood groups of O^+ve and AB^+ve?
A) 0
B) 1
C) 3
D) 2
Answer:
D) 2

c) What is the difference between the no.of blood groups of B^-vee and O^-ve ?
A) 0
B) 1
C) 2
D) – 1
Answer:
A) 0

Question 15.
The favourite colours of 26 students of 6th class A/sec are given below Blue, Red, Green, White, Blue, Green, White, Red, Orange, Green, Blue, White, Blue, Orange, Blue, Blue, White, Red, White, White, Red, Green, Blue, Blue, Blue, White.

Now answer the following questions.

a) What is favourite colour of 6th class A/sec ?
A) White
B) Blue
C) Red
D) Green
Answer:
A) White

b) What is the least favourite colour of 6th class A/sec ?
A) Red
B) Orange
C) Blue
D) White
Answer:
B) Orange

c) What is the difference between favourite colours of no.of students of Red & Green ?
A) – 1
B) 2
C) 1
D) 0
Answer:
D) 0

d) Which is the 2nd least favourite colour for the students ?
A) White
B) Red
C) Green
D) Both B & C
Answer:
D) Both B & C

e) Number of favourite students for White Colour is ______.
A) 2
B) 7
C) 8
D) 4
Answer:
B) 7

Question 16.
Read the given information carefully.
Around 56 per cent of citizens want sizable funds to be allocated to skill development, which is crucial for employment generation. When it comes to personal income tax, about 31 per cent felt the government should increase the exemption limit for ₹ 2.5 lakh to ₹ 3 lakh while 12 per cent of the respondents want the deduction allowed under section 80C to be increased to ₹ 2 lakh from ₹ 1.5 lakh.

Now answer the following questions.

a) Which of the following is crucial for employment generation?
A) skill development
B) start-ups
C) To increase personal Tax
D) Reduce income tax
Answer:
A) skill development

b) 12% of respondents want the deduction increased to ______ from ______.
A) 2 to 1.5 lakhs
B) 1.5 to 1 lakh
C) 2.5 to 3 lakhs
D) 2 to 2.5 lakhs
Answer:
A) 2 to 1.5 lakhs

Question 17.
Who is known as Father of Indian Statistics?
A) Sir Ronald A Fisher
B) P.C. Mahalanobis
C) Srinivasa Ramanujan
D) None
Answer:
B) P.C. Mahalanobis

Question 18.
The collected information is called ______.
A) Observations
B) Mean
C) Data
D) None
Answer:
C) Data

Question 19.
The bar graph consists of ______.
A) lines
B) rectangles
C) squares
D) circles
Answer:
B) rectangles

Question 20.
Collection of information in the form of numbers or words is called ______.
A) data
B) scale
C) frequency
D) range
Answer:
A) data

Question 21.
Raw data is also called ______.
A) frequency
B) ungrouped data
C) grouped data
D) classified data
Answer:
B) ungrouped data

Question 22.
In a bar graph, the ______ of all the rectangles is same.
A) size
B) height
C) length
D) breadth
Answer:
D) breadth

Question 23.
Symbol for tally mark
A) ~
B) |
C) ” ”
D) :
Answer:
B) |

Solving these TS 6th Class Maths Bits with Answers 3rd Lesson Playing with Numbers Bits for 10th Class will help students to build their problem-solving skills.

TS 6th Class Maths Bits Chapter 3 Playing with Numbers

Choose the correct answer and write it in the brackets.

Question 1.
The number not divisible by 2 is _______.
A) 1113
B) 1110
C) 1112
D) 1104
Answer:
A) 1113

Question 2.
The number divisible by 2 is _______.
A) 983
B) 981
C) 985
D) 986
Answer:
D) 986

Question 3.
The number divisible hy 3 is _______.
A) 1714
B) 2406
C) 1450
D) 683
Answer:
B) 2406

Question 4.
The number divisible, by 6 is _______.
A) 1111
B) 1112
C) 1110
D) 1114
Answer:
C) 1110

Question 5.
9846 is not divisible by _______.
A) 2
B) 4
C) 3
D) 9
Answer:
B) 4

Question 6.
Which of the following number is divisible by 1, 2, 3 4, 5 is _______?
A) 120
B) 60
C) 20
D) 30
Answer:
B) 60

Question 7.
The smallest prime number is _______.
A) 0
B) 1
C) 2
D) 3
Answer:
C) 2

Question 8.
The smallest composite number is _______.
A) 3
B) 4
C) 2
D) 1
Answer:
B) 4

Question 9.
HCF of 80 and 56 is _______.
A) 4
B) 2
C) 8
D) 1
Answer:
C) 8

Question 10.
HCF of 12 and 30 is _______.
A) 6
B) 4
C) 2
D) 3
Answer:
A) 6

Question 11.
HCF of 40 and 60 is _______.
A) 2
B) 4
C) 10
D) 20
Answer:
D) 20

Question 12.
Number divisible by 8 is _______.
A) 1243
B) 1244
C) 1240
D) 1246
Answer:
C) 1240

Question 13.
Number divisible by 11 is _______.
A) 1221
B) 1784
C) 1691
D) 1550
Answer:
A) 1221

Question 14.
The number of factors of 12 is _______.
A) 4
B) 6
C) 5
D) 3
Answer:
B) 6

Question 15.
LCM of 24, 36 and 72 is _______.
A) 12
B) 36
C) 72
D) 24
Answer:
C) 72

Question 16.
LCM of 5, 6 and 7 is _______.
A) 30
B) 42
C) 35
D) 210
Answer:
D) 210

Question 17.
LCM of 6 and 8 is _______.
A) 24
B) 12
C) 48
D) 14
Answer:
A) 24

Question 18.
LCM of 45 and 90 is _______.
A) 180
B) 90
C) 15
D) 45
Answer:
B) 90

Question 19.
A number divisible by both 8 and 11 is _______.
A) 1353
B) 1342
C) 1331
D) 1320
Answer:
D) 1320

Question 20.
The smallest number that must be added to 988, so that it becomes exactly divisible by 5 is _______.
A) 0
B) 1
C) 2
D) 3
Answer:
C) 2

Question 21.
The smallest number that has to be subtracted from 6 M3, so that it becomes exactly divisible by 10 is _______.
A) 3
B) 2
C) 4
D) 5
Answer:
A) 3

Question 22.
This is not a factor of 78 _______.
A) 3
B) 2
C) 4
D) 6
Answer:
C) 4

Question 23.
A number equal to the sum of its other factors _______.
A) 8
B) 6
C) 12
D) 10
Answer:
B) 6

Question 24.
Which of the following are twin primes ?
A) (11, 13)
B) (2, 3)
C) (2, 5)
D) (3, 7)
Answer:
A) (11, 13)

Question 25.
Which of the following are co-primes ?
A) (3, 5)
B) (5, 7)
C) (3, 8)
D)(17, 19)
Answer:
C) (3, 8)

Question 26.
Which of the following number is divisible by 2’ ?
A) 1027
B) 8129
C) 56785
D) 22558
Answer:
D) 22558

Question 27.
Which of the following number is divisible by ‘3’ ?
A) 1250
B) 250
C) 4335
D) 321729
Answer:
D) 321729

Question 28.
Which of the following is divisible by 6?
A) 4335
B) 10205
C) 312795
D) 321729
Answer:
C) 312795

Question 29.
Which of the following is not divisible by 5 ?
A) 105
B) 45880
C) 10204
D) 8055
Answer:
C) 10204

Question 30.
Which of the following is divisible by ’10’?
A) 12501
B) 66605
C) 99099
D) 1234567
Answer:
B) 66605

Question 31.
Which of the following number is not divisible by ‘9’ ?
A) 197
B) 198
C) 988974
D) 4689
Answer:
A) 197

Question 32.
The factors of 12 are _______.
A) 1, 2
B) 3, 4
C) 6, 12
D) All the above
Answer:
D) All the above

Question 33.
Which of the following is not a factor of 24?
A) 12, 3
B) 6, 2
C) 4, 1
D) 5, 7
Answer:
D) 5, 7

Question 34.
What is the greatest factor of 80 which is also a divisor of 32 ?
A) 2
B) 4
C) 8
D) 16
Answer:
D) 16

Question 35.
Which of the following is not a composite number ?
A) 12
B) 4
C) 7
D) 9
Answer:
C) 7

Question 36.
Which of the following is neither a prime nor a composite ?
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1

Question 37.
Which of the following is not a prime?
A) 121
B) 147
C) 97
D) 91
Answer:
C) 97

Question 38.
Which of the following are a pair of co-primes ?
A) (30, 35)
B) (99, 21)
C) (3, 5)
D) (63, 45)
Answer:
C) (3, 5)

Question 39.
Which of the following are not a pair of twin primes ?
A) (2, 3)
B) (3, 5)
C) (5, 7)
D) (11, 13)
Answer:
A) (2, 3)

Question 40.
The product of two primes of ’91’ is _______.
A) 13 × 17
B) 7 × 13
C) 11 × 7
D) 2 × 3 × 5 × 7
Answer:
B) 7 × 13

Question 41.
Express 47 as sum of 3 primes ?
A) 13 + 29 + 5
B) 29 + 11 + 7
C) 37 + 5 + 11
D) All the above
Answer:
D) All the above

Question 42.
What is the prime factorisation of 48 ?
A) 2 × 2 × 2 × 3
B) 2 × 2 × 2 × 2 × 3
C) 2 × 2 × 3 × 3
D) 2 × 3 × 3 × 3
Answer:
B) 2 × 2 × 2 × 2 × 3

Question 43.
Whatiscpmmon factor of 12 and 18 ?
A) 4
B) 9
C) 5
D) 6
Answer:
D) 6

Question 44.
What is the H.C.F of 12, 30, 36 is
A) 9
B) 3
C) 6
D) 18
Answer:
C) 6

Question 45.
What is the H.C.F of 40, 56 and 60 ?
A) 4
B) 6
C) 8
D) 16
Answer:
A) 4

Question 46.
Two tankers contain 850 ltr and 680 ltr of kerosene oil. Then the maximum capacity of container using both tankers at a time to fill it ? (in ltrs)
A) 170
B) 160
C) 180
D) 240
Answer:
A) 170

Question 47.
What is the H.C.F of any pair of co-primes?
A) 0
B) 1
C) 2
D) can’t be determined
Answer:
B) 1

Question 48.
Which of the following is not a multiple of ‘7’?
A) 49
B) 63
C) 147
D) 93
Answer:
D) 93

Question 49.
The L.C.M of 24, 90 is _________?
A) 270
B) 180
C) 360
D) 450
Answer:
C) 360

Question 50.
What is the L.C.M of 21,35,40 ?
A) 240
B) 210
C) 70
D) 140
Answer:
B) 210

Question 51.
The L.C.M of any 3 primes is equal to _______.
A) their product
B) their sum
C) their H.C.F
D) none
Answer:
A) their product

Question 52.
The greatest 3 – digit number which is divisible by 26, 14, 91 leaves the remainder ‘7’ _______.
A) 185
B) 182
C) 189
D) 183
Answer:
C) 189

Question 53.
What are numbers whose L.C.M and H.C.F are equal ?
A) (2, 3)
B) (4, 5)
C) (1, 2)
D) (2, 2)
Answer:
D) (2, 2)

Question 54.
The smallest number which and when is subtracted to 7, is exactly divisible by 7, 8, 9 is _______?
A) 504
B) 511
C) 447
D) 502
Answer:
B) 511

Question 55.
The L.C.M and H.C.F of two numbers is 24, 4 resp. If one of the number is 12, then the other number is _______ ?
A) 8
B) 12
C) 6
D) 9
Answer:
A) 8

Question 56.
The product of two numbers is 360. If H.C.F is 9 then their L.C.M is _______.
A) 30
B) 4
C) 40
D) 60
Answer:
C) 40

Question 57.
Which of the following number is divisible by ‘4’?
A) 1221
B) 1831
C) 1212
D) 11202
Answer:
A) 1221

Question 58.
Which of the following is not divisible by 4 ?
A) 76532
B) 11940
C) 195671
D) 914148
Answer:
C) 195671

Question 59.
Which of the following is divisible by 8?
A) 796385
B) 193624
C) 110242
D) 123486
Answer:
B) 193624

Question 60.
76104 is divisible by _______.
A) 8
B) 4
C) 2
D) All the above
Answer:
D) All the above

Question 61.
1089 is divisible by _______.
A) 11
B) 7
C) 9
D) 3
Answer:
A) 11

Question 62.
The nearest number to 2025 which is divisible by 11 is ?
A) 2024
B) 2026
C) 2022
D) 2002
Answer:
A) 2024

Question 63.
Which of the following is a polyndrome number ?
A) 2156
B) 1441
C) 6174
D) 1024
Answer:
B) 1441

Question 64.
Prime factorisation 90 is given below find the missing number ? k = ?

A) 8
B) 15
C) 9
D) 3
Answer:
C) 9

Question 65.
Match the following :

A) 1 – a, 2 – c, 3 – b, 4 – d
B) 1 – a, 2 – b, 3 – c, 4 – d
C) 1 – a, 2 – b, 3 – d, 4 – c
D) 1 – c, 2 – a, 3 – b, 4 – d
Answer:
A) 1 – a, 2 – c, 3 – b, 4 – d

Question 66.
Match the following:

A) 1 – b, 2 – d, 3 – c, 4 – a
B) 1 – d, 2 – b, 3 – c, 4 – a
C) 1 – b, 2 – d, 3 – a, 4 – c
D) 1 – d, 2 – c, 3 – a, 4 – b
Answer:
A) 1 – b, 2 – d, 3 – c, 4 – a

Question 67.
Match the following :

A) 1 – a, 2 – b, 3 – c, 4 – d
B) 1 – d, 2 – c, 3 – b, 4 – a
C) 1 – c, 2 – d, 3 – b, 4 – a
D) 1 – d, 2 – c, 3 – a, 4 – b
Answer:
B) 1 – d, 2 – c, 3 – b, 4 – a

Question 68.
Match the following :

A) 1 – d, 2 – c, 3 – b, 4 – a
B) 1 – b, 2 – c, 3 – d, 4 – a
C) 1 – c, 2 – b, 3 – d, 4 – a
D) 1 – b, 2 – d, 3 – c, 4 – a
Answer:
B) 1 – b, 2 – c, 3 – d, 4 – a

Question 69.
Which of the following is true ?
A) 2 is a composite number
B) 4 is a prime number
C) 2 is an even prime
D) 1 is both prime and composite
Answer:
C) 2 is an even prime

Question 70.
Which of the following is not true ?
A) 6 is a factor of 6
B) 1 is the factor of all numbers
C) Number of factors of a given num¬ber are countable
D) Every factor is greater than or equal to the given number.
Answer:
D) Every factor is greater than or equal to the given number

Question 71.
Which of the following is not true ?
A) 45880 is divisible by 10
B) 1771 is divisible by 11
C) 9847 is divisible by 9
D) 10248 is divisible by 8
Answer:
C) 9847 is divisible by 9

Question 72.
If x6724 is divisible by 3 then x stands for _______.
A) 9
B) 8
C) 4
D) All the above
Answer:
D) All the above

Question 73.
If 174R1 is a polyndrome number then R = _______.
A) 7
B) 4
C)1
D) 2
Answer:
A) 7

Question 74.
If 98a974 is divisible by 9 then a = _______.
A) 9
B) 8
C) 7
D) 5
Answer:
B) 8

Question 75.
Which of the following is a prime number which when on reversing its digits gives again a prime number
A) 19
B) 13
C) 23
D) 27
Answer:
B) 13

Question 76.
2 × x × 3 × 5 × y is a prime factorisation of 120 then x – y = ?
A) 0
B) 1
C) 2
D) 4
Answer:
A) 0

Question 77.
Statement (P) :
The relation between L.C.M and H.C.F is product of the numbers = L.C.M × H.C.F.
Statement (Q) :
If one of the two given numbers is a multiple of the other, then the greater number will be their L.C.M.
A) Both P & Q are correct
B) P is not correct, Q is correct
C) P is correct, Q is not correct
D) Both P & Q is not correct.
Answer:
A) Both P & Q are correct

Question 78.
Statement (X) : HCF of any two consecutive numbers is 2.
Statement (Y): 2 is the only even prime
Statement (Z): 9 is the least composite number.
A) X, Y, Z are true
B) X is true, Y is false, Z is true
C) X is false, Y is true, Z is false
D) X, Y, Z are false
Answer:
C) X is false, Y is true, Z is false

Question 79.
Statement (A) : L.C.M of 22 × 33 × 5, 23 × 32 × 7 is 22 × 32 × 2 × 3 × 5 × 7.
Statement (B) : L.C.M of \(\frac{a}{b}, \frac{c}{d}, \frac{e}{f}\) is L.C.M of a, c, e / H.C.F of b, d, f.
Statement (C) : H.C.F of \(\frac{l}{\mathrm{~m}}, \frac{\mathrm{n}}{\mathrm{o}}, \frac{\mathrm{p}}{\mathrm{q}}\) is H.C.F of l, n, p / H.C.F of m, o, q
A) A, B & C are true
B) A is true, B is false, C is true
C) A is false, B is true, C is false
D) A, B & C are false.
Answer:
A) A, B & C are true.

Question 80.
_______ is factor of every number.
A) 0
B) 1
C) 2
D) 5
Answer:
B) 1

Question 81.
The numbers which have only ‘1’ as the common factor are called _______.
A) Twin primes
B) Co-primes
C) Composite numbers
D) Prime factors
Answer:
B) Co-primes

Question 82.
The primes which are differ by 2 are called _______ numbers.
A) Relatively primes
B) Co-primes
C) Twin primes
D) Even primes
Answer:
C) Twin primes

Question 83.
H.C.F of two consecutive numbers is _______.
A) 0
B) 3
C) 2
D) 1
Answer:
D) 1

Question 84.
If one of the two given numbers is a multiple of the other then the L.C.M of the given numbers is _______.
A) smaller number
B) greater number
C) their product
D) their H.C.F
Answer:
B) greater number

Question 85.
In a given number, if last 3-digits are divisible by 8 then the entire number is divisible by _______.
A) 2
B) 4
C) 8
D) All the above
Answer:
D) All the above

Question 86.
H.C.F and L.C.M of two number x and y is p & q respectively, then x × y = _______.
A) p × q
B) L.C.M + H.C.F (p + q)
C) \(\frac{\text { L.C.M }}{\text { H.C.F }}\left(\frac{q}{p}\right)\)
D) \(\frac{\text { H.C.F }}{\text { L.C.M }}\left(\frac{p}{q}\right)\)
Answer:
A) p × q

Question 87.
From the above sum H.C.F (p) = _______.
A) x × y + L.C.M (q)
B) \(\frac{x \times y}{\text { L.C.M }} \text { (or) } \frac{x y}{q}\)
C) \(\frac{\text { L.C.M }}{x y}(q)\)
D) x × y × L-C.M (q)
Answer:
B) \(\frac{x \times y}{\text { L.C.M }} \text { (or) } \frac{x y}{q}\)

Question 88.
Every palyndrome number is divisible by _______.
A) 9
B) 4
C) 11
D) 5
Answer:
C) 11

Question 89.
Which of the following is a ‘kaprekar’s constant ?
A) 6174
B) 6147
C) 6714
D) 6471
Answer:
A) 6174

Question 90.
The number whose only factors are 1 and the number itself is called _______.
A) composite number
B) even number
C) odd number
D) prime number
Answer:
D) prime number.

Solving these TS 6th Class Maths Bits with Answers 1st Lesson Knowing Our Numbers Bits for 10th Class will help students to build their problem-solving skills.

TS 6th Class Maths Bits 1st Lesson Knowing Our Numbers

Choose the correct answer and write it in the brackets.

Question 1.
Which is the greatest among the numbers 3541, 3538, 3546, 3583, 3564?
A) 3564
B) 3583
C) 3546
D) 3541
Answer:
B) 3583

Question 2.
Which is the smallest among the numbers 115, 153, 135, 151?
A) 153
B) 115
C) 151
D) 135
Answer:
B) 115

Question 3.
The smallest four digit number is _______
A) 9999
B) 1100
C) 1900
D) 135
Answer:
D) 135

Question 4.
1 crore = _______ lakhs
A) 100
B) 1000
C) 10
D) 10000
Answer:
A) 100

Question 5.
How many hundreds make one lakh?
A) 10
B) 1000
C) 100
D) Many
Answer:
B) 1000

Question 6.
What number is to be added to the greatest five digit number to make it onelakh?
A) 1
B) 9
C) 5
D) 3
Answer:
A) 1

Question 7.
The number between 60 and 70 nearest to 60 is ________
A) 68
B) 67
C) 64
D) 65
Answer:
C) 64

Question 8.
The number between 100 and 200 nearest to 200 is _______
A) 140
B) 150
C) 130
D) 148
Answer:
B) 150

Question 9.
Which of the followIng is a greatest number?
A) 9185
B) 9181
C) 9815
D) 9851
Answer:
D) 9851

Question 10.
Which of the following is a smallest number?
A) 11235
B) 12135
C) 12113
D) 11215
Answer:
D) 11215

Question 11.
Rounding off ‘73596’ nearest to tens?
A) 73600
B) 74000
C) 73590
D) 73690
Answer:
A) 73600

Question 12.
Rounding off ‘7119’ nearest to thousands?
A) 6000
B) 7000
C) 8000
D) 7100
Answer:
B) 7000

Question 13.
The expanded form of 2,01,600 is _______
A) 2 × 10000 + 1 × 1000 + 6 × 100
B) 2 × 100000 + 1 × 1000 + 6 × 100
C) 2 × 100000 + 1 × 10000 + 6
D) 2 × 100000 + 1 × 1000 + 6 × 10
Answer:
B) 2 × 100000 + 1 × 1000 + 6 × 100

Question 14.
The expanded form of ‘75301’ _______
A) (7 × 1000) + (5 × 100) + (3 × 10) + 1
B) (7 × 10000) + (5 × 1000) + (3 × 100) + (1 × 10)
C) (7 × 10000) + (5 × 1000)+(3 × 100) + (1 × 1)
D) None
Answer:
C) (7 × 10000) + (5 × 1000)+(3 × 100) + (1 × 1)

Question 15.
The short form of 1100000 + 11000 + 110 + 1?
A) 11011101
B) 1101101101
C) 11,11,111
D) 101010101
Answer:
C) 11,11,111

Question 16.
The short form of 20000 + 3000 + 400 + 50 + 6 ?
A) 203456
B) 23456
C) 230456
D) 234056
Answer:
B) 23456

Question 17.
Which of the following is a largest number of 5-digit ?
A) 99999
B) 10000
C) 100000
D) 99998
Answer:
A) 99999

Question 18.
What is the difference between largest number of 5-digits and smallest number of 4-digits?
A) 90,999
B) 98,999
C) 89,999
D) 9999
Answer:
B) 98,999

Question 19.
Number of ‘0’ (Zero)’s in 1 crore _______
A) 9
B) 6
C) 7
D) 8
Answer:
C) 7

Question 20.
Use commas for 71451770 in Hindu -Arabic system
A) 7,14,51,770
B) 71,45,17,70
C) 71,451,770
D) None
Answer:
A) 7,14,51,770.

Question 21.
10 Crores = …………… mIllions.
A) 1
B) 10
C) 100
D) 1000
Answer:
C) 100

Question 22.
1 Billion = _______ crores.
A) 10
B) 100
C) 1
D) 1000
Answer:
B) 100

Question 23.
1 kiti = _______ 111.1118.
A) 1,00,000
B) 10000
C) 1000
D) 100
Answer:
A) 1,00,000

Question 24.
1000 litres = _______ kilo litres.
A) 10
B) 1
C) 100
D) 0.1
Answer:
B) 1

Question 25.
1 Kg = _______ grams.
A) 10000
B) 100
C) 1000
D) 10
Answer:
C) 1000

Question 26.
1 Million = ________ Lakhs.
A) 100
B) 10
C) 1000
D) 1
Answer:
B) 10

Question 27.
If you travel 700 m everyday for 7 days, how much distance would you travel?
A) 6 km,
B) 7 km
C) 5 km
D) 4900 mts
Answer:
D) 4900 mts

Question 28.
For a cup of green tea 20 gins of honey is required. With 1 kg of honey how many cups of tea will be made?
A) 500
B) 100
C) 250
D) 50
Answer:
A) 500

Question 29.
My scooty consumes 0.4 litres of oil per a day. With 4.8 litres it runs for how many days?
A) 10
B) 14
C) 12
D) 16
Answer:
C) 12

Question 30.
A biscuit industry makes 5 biscuits per a second, in one day it makes how many biscuits?
A) 4,32,000
B) 4,00,032
C) 4,00,000
D) 4,40,000
Answer:
A) 4,32,000

Question 31.
In, Krosur village number of male voters 9,072, number of female voters are 7,908 then the total number of voters in Krosuris?
A) 16,880
B) 16,990
C) 16,890
D) 16,980
Answer:
D) 16,980

Question 32.
Match the following:

A) 1 – b, 2 – c, 3 – d, 4 – a
B) 1 – c, 2 – b, 3 – d, 4 – a
C) 1 – b, 2 – c, 3 – a, 4 – d
D) None
Answer:
A) 1 – b, 2 – c, 3 – d, 4 – a

Question 33.
Write the short forms for the following Expanded forms

A) 1- a, 2 – b, 3 – c, 4 – d
B) 1- a,2 – d, 3 – c, 4 – b
C) 1 – b, 2 – a, 3 – d, 4 – c
D) 1 – a, 2 – b, 3 – d, 4 – c
Answer:
D) 1 – a, 2 – b, 3 – d, 4 – c

Question 34.
What is the greatest number formed by the digits 5,3,4,0,7 is?
A) 53,407
B) 74,053
C) 75,430
D) 75,043
Answer:
C) 75,430

Question 35.
What is the smallest number formed by the digits 9,5,2,0,3 is?
A) 20,359
B) 95,320
C) 23,059
D) 20,395
Answer:
A) 20,359

Question 36.
Which of the following are in ascending order?
A) 75,671, 75,640, 75,631, 75,6115
B) 1230, 1280 1350, 1295
C) 97,683, 98,757, 98,891, 99,073
D) 14,011, 7059, 11,576, 10,245
Answer:
C) 97,683, 98,757, 98,891, 99,073

Question 37.
What ¡s the rounding off number nearest to hundred for 350?
A) 350
B) 400
C) 375
D) None
Answer:
B) 400

Question 38.
Which of the following is true?
A) 10,247 > 10,427
B) 99,544 < 99,445
C) 15,891 > 15,798
D) 12,121 < 12,112
Answer:
C) 15,891 > 15,798

Question 39.
Which of these are in descending order?
A) 30,301, 66,600, 55,345, 72,642
B) 72,642, 66,600, 55,345, 30,301
C) 72,642, 55,345, 30,301,66,600
D) 72,642, 66,600, 30,301, 55,345
Answer:
B) 72,642, 66,600, 55,345, 30,301

Question 40.
Place value of ‘7’ in 1270893 is
A) 10,000
B) 1000
C) 1,00,000
D) None
Answer:
A) 10,000

Question 41.
The digit in ten millions place in 739,208,456
A) 7
B) 9
C) 3
D) 2
Answer:
C) 3

Question 42.
The number of zeros to be placed after 1 to make it a million
A) 5
B) 4
C) 6
D) 8
Answer:
C) 6

Question 43.
Statement (A) : The smallest 4- digited number is 1000
Statement (B) : The largest 6 – digited number is 999999
Statement (C): 1 Lakh is the smallest 5 – digited number
A) A, B & C are correct
B) A, B are correct but C is not correct
C) A is not correct but C is correct
D) A, B & C are not correct
Answer:
B) A, B are correct but C is not correct

Question 44.
Statement (A): 8,121,515,676 (is written in international system using commas)
Statement (B): 8,33,10,00,714(is written in Hindu -Arabic system using commas)
A) Both A & B are true
B) A is true but B is false
C) A is false but B is true
D) Both A & B are false
Answer:
A) Both A & B are true

Question 45.
Statement (A) : The place value of 5 in 49067 is Lakhs
Statement (B) : The place value of 6 in 70007 is Ten thousands
A) Both A & B are true
B) A is false but B is true
C) A is true but B is false
D) A & B are false
Answer:
D) A & B are false.

Question 46.
Write the number 8,09,172 in words.
A)Eight lakh nine thousand one hundred seventy two
B)Eight lakh nine thousand one hundred seventeen
C) Eight lakh nine hundred seventy two
D) None
Answer:
A)Eight lakh nine thousand one hundred seventy two

Question 47.
Write in figures for “Fifty lakhs nineteen thousand seven”?
A) 50,19,070
B) 50,15,007
C) 50,01,907
D) 50,19,007
Answer:
D) 50,19,007

Question 48.
What is Ramanujans number?
A) 1729
B) 1629
C) 1792
D) 1719
Answer:
A) 1729

Question 49.
The National Mathematics day is celebrated on _______
A) Dec, 23rd
B) Dec, 22nd
C) Dec, 21st
D) Dec, 31st
Answer:
B) Dec, 22nd

Question 50.
In the number 5643821, the digit at hundreds place is _______
A) 8
B) 5
C) 4
D) 6
Answer:
A) 8

Question 51.
In the number 89754326, the digit at millions place is _______
A) 8
B) 7
C) 9
D) 4
Answer:
C) 9

Question 52.
The mark whht helps us in reading and writing of large numbers is ________
A) colon
B) hyphen
C) comma
D) dash
Answer:
C) comma

Solving these TS 6th Class Maths Bits with Answers 2nd Lesson Whole Numbers Bits for 10th Class will help students to build their problem-solving skills.

TS 6th Class Maths Bits 2nd Lesson Whole Numbers

Choose the correct answer and write it in the brackets.

Question 1.
The successor of 999 is _______.
A) 1000
B) 100
C) 998
D) 990
Answer:
A) 1000

Question 2.
The predecessor of 100 is _______.
A) 101
B) 1
C) 99
D) 0
Answer:
C) 99

Question 3.
65 × 99 = _______.
A) \(\frac{65}{100-1}\)
B) 65 × (100 – 1)
C) 65 × (100 + 1)
D) \(\frac{(100-1)}{65}\)
Answer:
B) 65 × (100 – 1)

Question 4.
{0, N} = ……………….
A) N
B) W
C) Q
D) Z
Answer:
B) W

Question 5.
Which is the smallest whole number?
A) 0
B) 1
C) – 1
D) – 2
Answer:
A) 0

Question 6.
The number 0.8775 lies between which of two whole numbers?
A) 0.8, 0.9
B) 0, 1
C) 1, 2
D) 0.8774, 0.8776
Answer:
B) 0, 1

Question 7.

represents _______ number.
A) 3 × 4 = 12
B) 4 × 3 = 12
C) 6 × 2 = 12
D) 2 × 6 = 12
Answer:
A) 3 × 4 = 12

Question 8.
What number should be deducted from – 112, to get – 156 ?
A) 44
B) – 54
C) – 34
D) – 44
Answer:
D) – 44

Question 9.
What number should be added to (10)³ to get 1729 is ?
A) 11³
B) 7³
C) 9³
D) 5³
Answer:
C) 9³

Question 10.

represents _______ number.
A) 1 + 2 × 4 = 9
B) 9 – 2 × 4 = 1
C) 9 – 5 = 4
D) 1 + 5 + 3 = 9
Answer:
B) 9 – 2 × 4 = 1

Question 11.
Flow many 7’s are needed to get 161?
A) 22
B) 25
C) 24
D) 23
Answer:
D) 23

Question 12.
Number of whole numbers between 0 and 49 is?
A) 48
B) 49
C) 47
D) 50
Answer:
A) 48

Question 13.
11 × 0 = 0 is whole number is a _______ property.
A) closure under multiplication
B) commutative under multiplication
C) closure under addition
D) none
Answer:
A) closure under multiplication

Question 14.
Set of whole numbers W = _______
A) {1, 2, 3}
B) {0, 1, 2, 3}
C) {0, ± 1, ± 2 }
D) None of these
Answer:
B) {0, 1, 2, 3}

Question 15.
Which property is used to determine the value of 49 × 68 + 32 × 49 ?
A) Commutative under multiplication
B) Associative under addition
C) Distributive
D) Closure under multiplication
Answer:
C) Distributive

Question 16.
Find 1963 × 4 × 25 = _______
A) 196355
B) 119630
C) 19630
D) 196300
Answer:
D) 196300

Question 17.
What is additive identity element ?
A) – 1
B) 1
C) 0
D) None
Answer:
C) 0

Question 18.
Match the following :

A) 1 – a, 2 – b, 3 – c, 4 – d
B) 1 – b, 2 – a, 3 – d, 4 – c
C) 1 – a, 2 – b, 3 – d, 4 – c
D) 1 – b, 2 – a, 3 – c, 4 – d
Answer:
B) 1 – b, 2 – a, 3 – d, 4 – c

Question 19.
Match the following:

A) 1 – d, 2 – c, 3 – b, 4 – a
B) 1 – c, 2 – d, 3 – b, 4 – a
C) 1 – d, 2 – c, 3 – a, 4 – b
D) None
Answer:
A) 1 – d, 2 – c, 3 – b, 4 – a

Question 20.
Which of the following will not represent zero?
A) 1 + 0
B) 0 × 0
C) \(\frac{0}{2}\)
D) \(\frac{10-10}{2}\)
Answer:
A) 1 + 0

Question 21.
This number in the set of natural numbers has no predecessor.
A) 1
B) 0
C) – 1
D) 2
Answer:
A) 1

Question 22.
Choose the appropriate symbol form < or > between 15 and 13.
A) 15 = 13
B) 15 + 13
C) 15 > 13
D) 15 < 13
Answer:
C) 15 > 13

Question 23.
Set of whole numbers – set of natural numbers = ? (i.e W – N = { })
A) { }
B) {0}
C) {1, 2}
D) {0, 1, 2, 3}
Answer:
B) {0}

Question 24.
Which of the following is correct statement ?
A) All natural numbers are whole numbers
B) All whole numbers are natural numbers
C) W ⊂ N
D) None
Answer:
A) All natural numbers are whole numbers.

Question 25.
Which of the following is not correct?
A) 112 < 121
B) 507 > 405
C) 1156 < 1517
D) 31578 <61393
Answer:
D) 31578 <61393

Question 26.
What is the smallest whole number?
A) 0
B) 1
C) – 1
D) – 2
Answer:
A) 0

Question 27.
Which of the following is not true ?
A) There is no element ‘0’ in N.
B) Zero is the smallest natural number.
C) There is no smallest other than ‘1’ in set of N.
D) We can’t show the largest whole number on the number line.
Answer:
B) Zero is the smallest natural number.

Question 28.
Which of the following is true ?
A) 5 – 7 = – 2 is not a whole number
B) 7 – 5 = 2 is not a natural number
C) 6 + 3 = 2 is a whole number
D) 5 ÷ 2 = \(\frac{5}{2}\) is a whole number
Answer:
C) 6 + 3 = 2 is a whole number

Question 29.
Which of the following is determined ?
A) 7 ÷ 0
B) 0 ÷ 10
C) 0 ÷ 7
D) 1 ÷ 0
Answer:
C) 0 ÷ 7

Question 30.
Which of the following property doesn’t hold for set of whole numbers ?
A) Closure under addition
B) Associative under multiplication.
C) Commutative under multiplication
D) Commutative under division
Answer:
D) Commutative under division

Question 31.
Which property involved in the simplification of 2 × (71 × 5)?
A) Associative under multiplication
B) Closure under multiplication
C) Commutative under multiplication
D) Distributive
Answer:
A) Associative under multiplication

Question 32.
Which of the following is commutative under multiplication ?
A) 0 + 2 = 2 + 0
B) 4 × 3 = 3 × 4
C) 3 × (4 × 5) = (3 × 4) × 5
D) 1 × 0 = 0
Answer:
B) 4 × 3 = 3 × 4

Question 33.
The product by suitable arrangement of 20 × 255 × 50 × 7 is _______.
A) (20 × 7) × (255 × 50)
B) (20 × 50) × 255 × 7
C) (20 × 255) × (50 × 7)
D) (20 × 225 × 7) × 50
Answer:
B) (20 × 50) × 255 × 7

Question 34.
The element ‘1’ is the _______.
A) Additive identity
B) Multiplicative identity
C) Division identity
D) Subtraction identity
Answer:
B) Multiplicative identity

Question 35.
Which number forms a “line” ?
A) 1
B) 2
C) 3
D) both B & C
Answer:
D) both B & C

Question 36.
Which of the following is not a square number ?
A) 4
B) 9
C) 16
D) 6
Answer:
D) 6

Question 37.
Which of the following number doesn’t forms a triangle ?
A) 3
B) 6
C) 2
D) 10
Answer:
C) 2

Question 38.
If 65 × 99 = 6435
65 × 999 = 64935
65 × 9999 = 649935 then
65 × 999999 = ?
A) 64999935
B) 6499935
C) 649999935
D) 64935
Answer:
A) 64999935

Question 39.
If 91 × 11 × 3 = 3003
91 × 11 × 5 = 5005 then
91 × 11 × 1 = ?
A) 1001
B) 40001
C) 2001
D) 3001
Answer:
A) 1001

Question 40.
If 1 × 8 + 1 = 9
12 × 8 + 2 = 98
123 × 8 + 3 = 987 then
1234 × 8 + 4 = ?
A) 98765
B) 9876
C) 9786
D) 9686
Answer:
B) 9876

Question 41.
If 143 × 7 × 1 = 1001
143 × 7 × 2 = 2002 then
143 × 7 × 7 = ?
A) 9009
B) 7007
C) 3003
D) 1001
Answer:
B) 7007

Question 42.
Which of the following number represents a rectangle ?
A) 9
B) 25
C) 4
D) 6
Answer:
D) 6

Question 43.
If 46 × 5 = 230 × 1
46 × 15 = 230 × 3 then
46 × 45 = 230 × x
⇒ x = ?
A) 3
B) 7
C) 9
D) 5
Answer:
C) 9

Question 44.
Which of the following is not true ?
A) Every natural number has a successor
B) Every whole number has a successor
C) Every whole number except zero has a predecessor
D) Every natural number has a predecessor.
Answer:
D) Every natural number has a predecessor.

Question 45.
Statement (A): Set of whole numbers W= {0, 1, 2, …………..} (or) W = {N, 0}
Statement (B): Set of natural numbers = N = {1, 2, 3 ……………} (or) N = W – {0}
A) Both A & B are true
B) A is true but B is false
C) A is false but B is true
D) Both A & B are false
Answer:
A) Both A & B are true

Question 46.
Statement (A) : We will get 46. When 875 is subtracted from 921
Statement (B): We will get 225. When 99 is added to 125
A) Both A & B are true
B) A is true and B is false
C) A is false and B is true
D) Both A & B are false
Answer:
B) A is true and B is false

Question 47.
Division by zero is _______.
A) defined
B) possible
C) undefined
D) accurate
Answer:
C) undefined

Question 48.
The following number can be shown as a rectangle _______.
A) 2
B) 5
C) 7
D) 6
Answer:
D) 6

Question 49.
The following as a triangle _______
A) 4
B) 5
C) 3
D) 2
Answer:
C) 3

Question 50.
The following as a square _______
A) 9
B) 5
C) 7
D) 11
Answer:
A) 9

Question 51.
The set of whole numbers is represented by the letter _______.
A) N
B) R
C) W
D) I
Answer:
C) W

Question 52.
The set of natural numbers is represented by the letter _______.
A) I
B) N
C) R
D) W
Answer:
B) N

Question 53.
Which of the following is closure under addition ?
A) a + b = c
B) ab = c
C) a + b = b + a
D) a^b = b^a
Answer:
A) a + b = c

Question 54.
Which of the following is commutative under multiplication ?
A) p + q = q-+p
B) pq = qp
C) \(\frac{p}{q}=\frac{q}{p}\)
D) p × (q + r) = pq + pr
Answer:
B) pq = qp

Question 55.
l × (m × n) = (l × m) × n is a _______ property.
A) Commutative under multiplication
B) Closure under multiplication
C) Distributive
D) Associative under multiplication.
Answer:
D) Associative under multiplication.

Question 56.
Which of the following is a distributive property?
A) p (q + r) = pq + r
B) ab = c
C) x × (y + z) = xy + xz
D) l × m = m × l
Answer:
C) x × (y + z) = xy + xz

Question 57.
The successor of ‘0’ is _______.
A) 1
B) – 1
C) 2
D) 3
Answer:
A) 1

Question 58.
The predecessor of ‘ 1’ _______.
A) – 1
B) 0
C) 1
D) 2
Answer:
B) 0

Question 59.
Represent 4 + 5 = 9 on the number line

D) Both B & C
Answer:
D) Both B & C

Question 60.
Representation of 5 – 3 on the number line.

Answer:

D)

Question 61.
Representation of 4 × 3 on the number line.

D) None
Answer:

A)

TS 6th Class Study Material Pdf Telangana | TS 6th Class Textbook Solutions Guide

• TS 6th Class Maths Solutions
• Telangana SCERT Class 6 Science Solutions
• TS 6th Class Social Study Material
• TS 6th Class Telugu Study Material
• TS 6th Class English Study Material
• TS 6th Class Hindi Study Material
• TS 6th Class Science Important Questions
• TS 6th Class Science Bits with Answers
• TS 6th Class Maths Bits with Answers

TS Board Solutions

Students can practice Telangana SCERT Class 6 Maths Solutions Chapter 13 Practical Geometry Ex 13.5 to get the best methods of solving problems.

TS 6th Class Maths Solutions Chapter 13 Practical Geometry Exercise 13.5

Question 1.
Construct ∠ABC = 60° without using protractor.
Answer:

Steps of construction:

1. Draw a line l and choose a point B on it.
2. Place the pointer of the compasses at B and draw an arc of convenient radius which cuts the line / at a point say C.
3. Take C as centre and with the same radius (as in step 2) in draw an arc.
4. Now take B as centre and with the same radius (as in step 2), draw another arc cutting the previous arc (drawn in step 2) at A.
5. Join AB, we get ∠ABC whose measure is 60°.

Question 2.
Construct an angle of 120° with using protractor and compasses.
Answer:
With using compasses:

Steps of construction:

1.  Draw any ray OA.
2. Place the pointer of the compasses at O with O as centre and any convenient radius draw an arc cutting OA at M.
3. With M as centre and without altering radius (as in step 2) draw an arc which cuts the first arc at P.
4. With P as centre and without altering the radius (as in step 2) draw an arc which cuts the first arc at Q.
5. Join OQ. Then ∠AOQ is the required angle.

With Using protractor:

Steps of construction :

1. Draw a ray QR of any length.
2. Place the centre point of the protractor at
   Q and the line aligned with the \(\overline{\mathrm{QR}}\).
3. Mark at a point P at 120°.
4. Join QP. ∠PQR is the required angle.

Question 3.
Construct the following angles using ruler and compasses. Write the steps of construction in each case.
(i) 75°
Answer:

Steps of construction:

1. Draw any ray OA.
2. Place the pointer of the compasses at O. With ‘O’ as centre and any convenient radius draw an arc cutting OA at M.
3. With M as centre and without altering radius (as in step 2) draw an arc which, cuts the first arc at P.
4. With P as centre and without altering the radius (as in step 2) draw an arc which cuts the first arc at Q.
5. Join OQ. ∠AOQ = 120° (∵∠AOP + ∠POQ = 60°)
   ∠AOQ = ∠AOP + ∠POQ = 60° + 60° = 120°
6. Draw OB the perpendicular bisector of ∠POQ.
   Now ∠POB = ∠QOB = 30°
   ∴∠AOB = 90°
7. Draw OC the perpendicular bisector of ∠POB.
   Now ∠POC = ∠BOC = 15°
8. ∠AOC = ∠AOP + ∠OC
   = 60° + 15°
   = 75°
   (or)
   ∠AOC = ∠AOB – ∠BOC
   = 90° – 15°
   = 75°
   ∠AOC is the required angle whose measure is 75°.

(ii) 15°
Answer:

Steps of construction:

1. Draw a line l and mark a point O on it.
2. Place the pointer of the compasses at O and draw an arc of convenient radius which cuts the line / at a point say A.
3. With the pointer at A (as centre) and the same radius as in the step – 2, now draw an arc that passes through O.
4. Let the two arcs intersect at B. Join OB. We get ∠BOA whose measure is 60°.
5. Draw the bisector OC of ∠AOB. Now ∠AOC = 30°.
   [∠AOC = ∠BOC = 30° ]
6. Draw the bisector OD of ∠AOC. Now ∠AOD = 15°.
   [∠AOD = ∠COD = 15°]
7. ∠AOD = 15° is the required angle.

(iii) 105°
Answer:

Steps of construction:

1. Draw any ray OM.
2. Place the pointer of the compasses at O. With O as centre and any convenient radius draw an arc cutting OM at A.
3. With A as centre and without altering radius (as in step 2) draw an arc which cuts the first arc at B.
4. With B as centre and without altering radius (as in step 2) draw an arc which cuts the first arc at B.
5. Join QC. ∠AOC = 120°.
6. We know that ∠AOB = ∠BOC = \(\frac{1}{2}\) ∠AOC = \(\frac{1}{2}\) × 120° = 60°
7. Draw OD the bisector of ∠BOC.
   ∴ ∠BOD = ∠DOC = \(\frac{1}{2}\) ∠BOC = \(\frac{1}{2}\) × 60° = 30°
8. Draw OE the bisector of ∠DOC.
   ∴ ∠DOE = ∠EOC = \(\frac{1}{2}\) ∠DOC = \(\frac{1}{2}\) × 30° = 15°
9. Now ∠AOE = ∠AOD + ∠DOE = 90° + 15° = 105°
10. ∠AOE = 105° is the required angle.

Question 4.
Draw the angles given in Q. 3 using a protractor.
Answer:
The angles given in Q. 3 are 75°, 105° and 15°.

(i) 75°

Steps of construction:

1. Draw a ray QR of any length.
2. Place the centre point of the protractor at Q and the line aligned with the \(\overline{\mathrm{QR}}\).
3. Mark a point P at 75°.
4. Join QP. ∠RQP is the required angle.

(ii) 105°

Steps of construction:

1. Draw a ray QR of any length.
2. Place the centre point of the protractor at Q and the line aligned with the \(\overline{\mathrm{QR}}\).
3. Mark a point P at 105°
4. Join QP. ∠RQP is the required angle.

(iii) 15°

Steps of construction:

1. Draw a ray QR of any length.
2. Place the centre point of the protractor at Q and the line aligned with the \(\overline{\mathrm{QR}}\).
3. Mark a point P at 15°
4. Join QP. ∠RQP is the required angle.

Question 5.
Construct ∠ABC = 50° and then draw another angle ∠XYZ equal to ∠ABC without using a protactor.
Answer:

Steps of construction:

1. Make an angle ∠ABC = 50° v
2. Draw a line l and choose a point Y on it.
3. Use the same compasses setting to draw an arc with Y as centre, cutting l in Z.
4. Set your compasses to the length MN.
5. With the same radius place the compasses pointer at Z and draw an arc to cut the arc drawn earlier at X.
6. Join XY. This gives us ∠XYZ. It has the same measure as ∠ABC i.e,, 50°.

Question 6.
Construct ∠DEF = 60°. Bisect it, measure each half by using a protractor.
Answer:

Steps of construction :

1. Draw a line P and mark a point ‘E’ on it.
2. Place the pointer of the compasses at E and draw an arc of convenient radius which cuts the line \(\overleftrightarrow{\mathrm{PQ}}\) at a point say F.
3. With the pointer at F (as centre), now draw an arc that passes through E.
4. Let the two arcs intersect at D. Join ED. We get ∠DEF whose measure is 60°.
5. Draw OC the bisector of ∠DEF.
6. Now ∠FEC = ∠CED = 30°.