Solving these TS 6th Class Maths Bits with Answers 11th Lesson Ratio and Proportion Bits for 10th Class will help students to build their problem-solving skills.
TS 6th Class Maths Bits Chapter 11 Ratio and Proportion
Choose the correct answer and write it in the brackets.
Question 1.
The ratio of Rs. 1.50 to Rs. 2 is
A) 3 : 4
B) 4 : 3
C) 1 : 2
D) 3 : 2
Answer:
A) 3 : 4
Question 2.
The ratio of 7.5 litres to 15 litres is
A) 5 : 1
B) 7 : 15
C) 1 : 2
D) 1 : 5
Answer:
C) 1 : 2
Question 3.
Rafi has 16 red marbles and 4 blue marbles. The ratio of blue marbles to the total number of marbles is
A) 4 : 1
B) 4 : 5
C) 1 : 5
D) 1 : 4
Answer:
C) 1 : 5
Question 4.
5 ml of water is added to 15 ml of medicine. The ratio of water to medicine is
A) 3 : 1
B) 1 : 3
C) 1 : 4
D) 4 : 1
Answer:
B) 1 : 3
Question 5.
In the below figure, the ratio of the shaded parts to unshaded parts is
A) 1 : 2
B) 8: 5
C) 3 : 5
D) 5 : 3
Answer:
C) 3 : 5
Question 6.
Equivalent ratio to 2 : 3 is
A) 8 : 9
B) 6 : 12
C) 4 : 6
D) 10 : 12
Answer:
B) 6 : 12
Question 7.
Equivalent ratio to a : b is
A) b : a
B) 2a : 2b
C) a : 2b
D) 2a : b
Answer:
B) 2a : 2b
Question 8.
The simplest form of 16 : 20 is
A) 4 : 5
B) 5 : 4
C) 8 : 10
D) 32 : 40
Answer:
A) 4 : 5
Question 9.
The simplest form of 24 : 30 is
A) 12 : 15
B) 8 : 10
C) 4 : 5
D) 2 : 3
Answer:
C) 4 : 5
Question 10.
\(\overline{\mathbf{A B}}\) is divide at ‘X’ in the ratio 3 : 7. If AB = 10 cm, thren length of \(\overline{\mathbf{X B}}\) =
A) 6 cm
B) 7 cm
C) 3 cm
D) 3.5 cm
Answer:
B) 7 cm
Question 11.
An ornament weighs 45 gms. It is a mixture of gold and copper in the ratio 7 : 2. The weight of copper is
A) 10 gm
B) 35 gm
C) 14 gm
D) 8 gm
Answer:
A) 10 gm
Question 12.
The cost of 5 kg of tomatoes is Rs. 40. Then the cost of 3 kg of tomatoes is
A) Rs. 24
B) Rs. 8
C) Rs. 200
D)Rs. 122
Answer:
A) Rs. 24
Question 13.
Raju and Bharat bought 30 pencils. Out of them, Bharat took 10 pencils. The ratio of Bharat’s pencils and Raju’s pencils is
A) 2 : 1
B) 1 : 2
C) 3 : 1
D) 1 : 3
Answer:
B) 1 : 2
Question 14.
If three apples cost Rs. 36, then the cost of 5 apples is
A) Rs. 12
B) Rs. 24
C) Rs. 48
D) Rs. 60
Answer:
D) Rs. 60
Question 15.
21 : 6 =
A) 42 : 18
B) 21 : 12
C) 7 : 2
D) 21 : 27
Answer:
C) 7 : 2
Question 16.
5 times of 2 : 5 =
A) 4 : 10
B) 10 : 25
C) 6 : 15
D) 8 : 20
Answer:
B) 10 : 25
Question 17.
The simplest foim of 96 : 120 is
A) 6 : 8
B) 4 : 5
C) 8 : 10
D) 1 : 4
Answer:
B) 4 : 5
Question 18.
Twenty pens are divided between Sheela and Sangeeta in the ratio of 3 : 2. Then the number of pens that Sheela got is
A) 8
B) 4
C) 12
D) 16
Answer:
C) 12
Question 19.
The sum of two numbers is the greatest second digit number. If the numbers are in the ratio 1 : 2, then the smaller number is
A) 66
B) 36
C) 33
D) 63
Answer:
C) 33
Question 20.
Present age of father is 42 years and that of his son is 14 years. The ratio of the present age of son to that father is
A) 1 : 3
B) 3 : 1
C) 2 : 3
D) 3 : 2
Answer:
A) 1 : 3
Question 21.
If the cost of 8 pens is ₹ 96 then find the cost of 15 such pens ?
A) ₹ 192
B) ₹ 180
C) ₹ 160
D) ₹ 150
Answer:
B) ₹ 180
Question 22.
If the cost of 10 note books is ₹ 250 what is the cost of one book ?
A) ₹ 25
B) ₹ 20
C) ₹ 28
D) ₹ 30
Answer:
A) ₹ 25
Question 23.
Kiran runs 12 kms in 45 minutes, then he runs number of kms in 15 minutes
A) 9 cm
B) 5 km
C) 4 km
D) 6 km
Answer:
C) 4 km
Question 24.
The cost of 7 green leaf tea is 105. If my friend and I want to drink that tea we have to pay ₹ ______
A) ₹ 35
B) ₹ 25
C) ₹ 30
D) ₹ 32.50
Answer:
C) ₹ 30
Question 25.
In a map if 1 cm = 300 km then 15 cm = ______ kms.
A) 4500
B) 4200
C) 4800
D) 3500
Answer:
A) 4500
Question 26.
In a map if 1 cm = 50 runs then 755 runs = ______ cms.
A) 15.1
B) 13.5
C) 15.5
D) 15
Answer:
A) 15.1
Question 27.
What is the ratio between 24 red balls and 27 blue balls ?
A) 9 : 8
B) 8 : 9
C) 6 : 7
D) 6 : 3
Answer:
B) 8 : 9
Question 28.
The ratio between 5 kg and 750 gms is ______.
A) 1 : 1.6
B) 21 : 4
C) 20 : 3
D) 1 : 6.3
Answer:
C) 20 : 3
Question 29.
The ratio between 4.5 km to 1250 mts is
A) 18 : 6
B) 17 : 6
C) 16 : 5
D) 18 : 5
Answer:
D) 18 : 5
Question 30.
The ratio between 2750 ml to 1.5 ltrs is
A) 11 : 6
B) 12 : 5
C) 6 : 11
D) 10 : 7
Answer:
A) 11 : 6
Question 31.
One litre of milk, 25 ml of water is added then the ratio of milk to water is ______
A) 8 : 3
B) 7 : 2
C) 40 : 1
D) 9 : 1
Answer:
C) 40 : 1
Question 32.
From the figure given find the ratio between shaded and unshaded parts.
A) 1 : 5
B) 3 : 1
C) 1 : 3
D) 1 : 4
Answer:
C) 1 : 3
Question 33.
From the above figure the ratio between unshaded and total parts is ______?
A) 5 : 4
B) 3 : 4
C) 3 : 1
D) 4 : 1
Answer:
B) 3 : 4
Question 34.
30 mm : 1 cm = ______
A) 3 : 5
B) 15 : 7
C) 10 : 3
D) 3 : 1
Answer:
D) 3 : 1
Question 35.
1 hr : 45 min = ______
A) 5 : 4
B) 4 : 2
C) 4 : 3
D) 3 : 2
Answer:
C) 4 : 3
Question 36.
The simplest form of 162 : 45 is ______
A) 18 : 5
B) 17 : 5
C) 16 : 5
D) 17 : 9
Answer:
A) 18 : 5
Question 37.
From the below figure BC : AB = ______?
A) 16 : 15
B) 5 : 6
C) 15 : 14
D) 15 : 17
Answer:
B) 5 : 6
Question 38.
From the above figure find the ratio of AC & BC.
A) 2 : 5
B) 5 : 1
C) 1 : 5
D) 3 : 5
Answer:
C) 1 : 5
Question 39.
Weight of Gayatri is 14 kgs Kiran weight Is thrice that of Gayatri. The ratio of weight of Gayatri and Kiran is ______
A) 1 : 4
B) 1 : 3
C) 1 : 5
D) 1 2
Answer:
B) 1 : 3
Question 40.
A goldsmith mixes gold and copper in the ratio of 9 : 2 to prepare an oranament of 55 gins. What Is weight of gold in that ornament?
A) 49 gm
B) 48 gm
C) 40 gm
D) 45 gm
Answer:
D) 45 gm
Question 41.
The ratio of shares of R : S = 2 : 1. If the total amount is ₹9,00,000 then ‘R’ share is
A) ₹ 6,00,000
B) ₹ 3,00,000
C) ₹ 5,00,000
D) ₹ 8,00,000
Answer:
A) ₹ 6,00,000
Question 42.
Laxmi earns ₹ 42,000 per month. If her expenditure is 28,000 per month, then what is the ratio of her savings
and expenditure?
A) 2 : 1
B) 1 : 2
C) 2 : 3
D) 1 : 3
Answer:
B) 1 : 2
Question 43.
In a class of 39 students no of girls are 9. Then find the ratio of number of boys to that of gir is
A) 9 : 4
B) 2 : 5
C) 3 : 10
D) 10: 3
Answer:
D) 10: 3
Question 44.
From the above sum the ratio of total strength to boys is ______
A) 10 : 11
B) 13 : 10
C) 10 : 13
D) 13 :11
Answer:
C) 10 : 13
Question 45.
Match the following:
| Group – A | Group – B |
| 1. 450 ml : 1.350 lts | a) 4 : 1 |
| 2. 160 gms : 640 gms | b) 1 : 4 |
| 3. 1 hr : 15 mm | c) 1 : 3 |
| 4. 200 mts : 1.4 kms | d) 1 : 7 |
| e) 1 : 5 |
A) 1 – c, 2 – b, 3 – a, 4 – d
B) 1 – a, 2 – b, 3 – c, 4 – d
C) 1 – c, 2 – a, 3 – e, 4 – d
D) 1 – c, 2 – b, 3 – e, 4 – d
Answer:
A) 1 – c, 2 – b, 3 – a, 4 – d
Question 46.
Match the following.
| Group – A | Group – B |
| 1. symbolic form of 2 and 3 is | a) 11/9 |
| 2. fractional form of 1 and 9 | b) 4 : 5 |
| 3. verbal form of 7 and 5 | c) 5 : 4 |
| 4. simplest form of 20 : 16 | d) 2 : 3 |
| e) 7 is to 5 |
A) 1 – a, 2 – c, 3 – d, 4 – e
B) 1 – d, 2 – a, 3 – e, 4 – c
C) 1 – e, 2 – d, 3 – c, 4 – b
D) 1- c, 2 – d, 3 – e, 4 – b
Answer:
B) 1 – d, 2 – a, 3 – e, 4 – c
Question 47.
Which of the following are in proportion?
A) 1, 2, 3, 4
B) 4, 5, 6, 7
C) 11, 9, 16, 7
D) 3, 6, 4, 8
Answer:
D) 3, 6, 4, 8
Question 48.
Which of the following are not in proportion?
A) 2, 3, 12, 18
B) 3, 6, 4, 8
C) 4, 3, 16, 12
D) 9, 15, 8, 16
Answer:
C) 4, 3, 16, 12
Question 49.
If \(\frac{15}{18}=\frac{x}{6}\) ⇒ x = ______.
A) 4
B) 3
C) 5
D) 2
Answer:
C) 5
Question 50.
If \(\frac{10}{x}=\frac{2}{3}\) ⇒ x = ______
A) 20
B) 30
C) 15
D) 40
Answer:
B) 30
Question 51.
If 4, x, 8, 24 are in proportion then x = ………………. ?
A) 12
B) 6
C) 24
D) 16
Answer:
A) 12
Question 52.
If 2, x, x, 32 are in proportion then r = ______?
A) 18
B) 8
C) 4
D) 16
Answer:
B) 8
Question 53.
A point P on xy = 36 cm divides it in the ratio of 5 : 7 the length of A = ______ cms.
A) 15
B) 20
C) 10
D) 25
Answer:
A) 15
Question 54.
Which of the following quantities are in proportion?
A) 4, 16, 3, 12
B) 16, 3, 12, 4
C) 12, 4, 3, 16
D) 3, 4, 16, 12
Answer:
A) 4, 16, 3, 12
Question 55.
Which of the following quantities are not in proportion?
A) 10, 25, 2, 5
B) 8, 16, 6, 12
C) 16, 24, 8, 12
D) 9, 3, 12, 2
Answer:
D) 9, 3, 12, 2
Question 56.
Statement (P) : The ratio of 6 minutes to 1 hour is 1 : 10
Statement (Q) : The simplest form of \(\frac{42}{24}\) is \(\frac{7}{4}\).
A) Both P and Q are true
B) Only P is true, Q is false
C) Only Q is true P is false
D) Both P & Q are false
Answer:
A) Both P and Q are true
Question 57.
Statement (F) : Symbolic form of ratio of a to b is a : b
Statement (Q): Fractional form is a/b.
Statement (R) : Verbal form is a to b.
A) P, Q and R are true
B) P is true, Q is false, R is true
C) P is false, Q is true, R is false
D) P is true, Q is false, R is false
Answer:
A) P, Q and R are true
Question 58.
From the adjacent figure.
Statement (S) : The ratio of shaded to unshaded region is 1 : 3
Statement (T) : The ratio of unshaded to total parts is 3 : 4
Statement (U) : The ratio of total parts to shaded is 3 : 2
A) S, T, U are true
B) S is true, T is true and U is false
C) S is false, T is true and U is false
D) S ¡s true, T is false and U is true
Answer:
B) S is true, T is true and U is false
Question 59.
Statement (X) : 1, 2, 3, 12 are in proportion
Statement (Y) : If 1, x, x, 9 are in proportion then x = 3
Statement (Z) : If 3, 6, 9, x are in proportion x = 15.
A) X, Y, Z are true
B) X is true, Z Is true, Y is false
C) X is false, Y is true, Z is false
D) X is true, Y is false, Z is true
Answer:
C) X is false, Y is true, Z is false
Question 60.
Statement (P): The length of AB = 15cm and the point X divides A, B in the ratio of 2 : 3, then XA = 6 cm
Statement (Q) : Also XB – XA = 3 cm
Statement (R): \(\frac{\mathrm{AB}}{\mathrm{XB}}=\frac{5}{3}\)
A) P, Q, R are true
B) P is true, Q is true, R is false
C) P is false, Q is true, R is false
D) P is false, Q is false, R is true
Answer:
A) P, Q, R are true
Question 61.
In \(\frac{a}{b}\) is called ______
A) consequent
B) antecedent
C) diridend
D) none
Answer:
B) antecedent
Question 62.
If a, b, c, d are four numbers and ad = bc then a, b, C, d are said to be in ______.
A) inversion
B) ratio
C) proportion
D) none
Answer:
C) proportion
Question 63.
The ratio of two quantities ‘a’ and ‘b’ then the symbolic form is ______.
A) a/b
B) is to b
C) a : b
D) None
Answer:
C) a : b
Question 64.
We compare quantities by
A) Division
B) Addition
C) Multiplication
D) Observation
Answer:
A) Division
Question 65.
If a : b : : c : d, then a, b, c, d are said to be in
A) proportion
B) equality
C) ratio
D) distribution
Answer:
A) proportion
Find the ratio between shaded and unshaded regions.
Question 66.
A) 3 : 10
B) 10 : 3
C) 3 : 5
D) 3 : 7
Answer:
D) 3 : 7
Question 67.
A) 2 : 8
B) 1 : 3
C) 1 : 4
D) 2 : 5
Answer:
B) 1 : 3
Question 68.
A) 1 : 4
B) 4 : 1
C) 1 : 5
D) 5 : 1
Answer:
A) 1 : 4
Question 69.
A) 25: 24
C) 27 : 22
B) 26: 23
D) 24 : 25
Answer:
A) 25: 24