TS 10th Class Maths Bits Chapter 1 Real Numbers

Solving these TS 10th Class Maths Bits with Answers Chapter 1 Real Numbers Bits for 10th Class will help students to build their problem-solving skills.

Real Numbers Bits for 10th Class

Question 1.
\(\sqrt{4}\) is
A) a rational number
B) an irrational number
C) an odd number
D) none of these
Answer:
A) a rational number

Question 2.
The logarithmic form of 64 = 2⁶ is
A) log₂64 = 6
B) log₆64 = 2
C) log₄64 = 2
D) log₃64 = 6
Answer:
A) log₂64 = 6

Question 3.
The exponential form of \(\log _4 1024\) = 5 is = 5 is
A) 5⁴ =1024
B) 6⁴ = 1024
C) 4⁵ = 1024
D) 2⁸ = 1024
Answer:
C) 4⁵ = 1024

Question 4.
If log₂8 = y, then y =
A) 3
B) 4
C) 6
D) 10
Answer:
A) 3

Question 5.
log₃729 = x, then x =
A) 243
B) 81
C) 9
D) 6
Answer:
D) 6

Question 6.
log 15 =
A) log 1 + log 5
B) log 10 + log 5
C) log 3 + log 5
D) log 3 × log 5
Answer:
C) log 3 + log 5

Question 7.
The HCF of the least prime number and the least composite number is
A) 1
B) 3
C) 4
D) 2
Answer:
A) 1

Question 8.
The L.C.M of 36 and 54 is
A) 18
B) 108
C) 36
D) 54
Answer:
B) 108

Question 9.
The sum of the exponents of the prime factor in the prime factorisation of 108 is
A) 5
B) 6
C) 4
D) 1
Answer:
A) 5

Question 10.
\(1 . \overline{23}\) is
A) a rational number
B) an irrational number
C) an integer
D) a natural number
Answer:
A) a rational number

Question 11.
The HCF of 6, 72 and 120 is
A) 12
B) 15
C) 6
D) 3
Answer:
C) 6

Question 12.
The LCM of 8, 9 and 25 is
A) 200
B) 1800
C) 225
D) 72
Answer:
B) 1800

Question 13.
The rational number in between and \(\sqrt{1}\) and is
(A) \(\frac{9}{4}\)
(B) \(\frac{3}{4}\)
(C) \(\frac{5}{4}\)
(D) \(\frac{5}{4}\)
Answer:
(B) \(\frac{3}{4}\)

Question 14.
Set of Rational and irrational numbers are called
A) Real numbers
B) Natural numbers
C) Whole numbers
D) Integers
Answer:
A) Real numbers

Question 15.
log form of 3⁵ = 243 is …..
A) \(\log _3^{243}\) = 5
B) \(\log _5^{243}\) = 3
C) \(\log _3^{243}\) = 5
D) \(\log _5^{243}\) = 5
Answer:
A) \(\log _3^{243}\) = 5

Question 16.
the symbol of “implies” is ……….
A) ⇔
B) ⇒
C) ∀
D) ∃
Answer:
B) ⇒

Question 17.
The prime factorisation of 729 is ………..
A) 36
B) 35
C) 34
D) 38
Answer:
A) 36

Question 18.
If ‘x’ and ‘y’ are two prime numbers then their HCF
A) 3⁶
B) 3⁵
C) xy
D) x + y
Answer:
B) 3⁵

Question 19.
\(\log _{10}^{0.01}\) = ……..
A) -1
B) 1
C) -2
D) 2
Answer:
C) -2

Question 20.
The number of odd numbers in between O’ and 100 is …. ( )
A) 100
B) 51
C) 49
D) 50
Answer:
D) 50

Question 21.
The exponential form of \(\log _4^8\) = x is …………..
A) x⁸ = 4
B) x⁴ = 8
C) 4^x = 8
D) 8^x = 4
Answer:
C) 4^x = 8

Question 22.
The value of \(\frac{36}{2^3 \times 5^3}\) in decimal form is ………
A) 0.036
B) 0.36
C) 0.0036
D) 3.6
Answer:
A) 0.036

Question 23.
LCM of two numbers is 108 and their HCF is 9 and one of them is 54. So the second one is ( )
A) 9
B) 18
C) 6
D) 12
Answer:
B) 18

Question 24.
The number of prime factors of 36 is
A) 4
B) 3
C) 2
D) 1
Answer:
C) 2

Question 25.
The exponential form of \(\log _{10}^{0.001}\) = – 3 is ……
A) (0.001)¹⁰ = -3
B) (-3)¹⁰ = 0.001
C) 10³ = -0.001
D) 10^-3 = 0.001
Answer:
D) 10^-3 = 0.001

Question 26.
Which of the following in not a rational number …… ( )
A) \(\log _{10}^3\)
B) \(5 . \overline{23}\)
C) 12.123
A) \(\frac{10}{19}\)
Answer:
A) \(\log _{10}^3\)

Question 27.
LCM of 24 and 36 is ……. ( )
A) 24
B) 36
C) 72
D) 864
Answer:
C) 72

Question 28.
H.C.F. of 324 and 360 is …… ( )
A) 9
B) 1
C) 63
D) 36
Answer:
B) 1

Question 29.
\(\log _x \sqrt[3]{x}\) = …… ( )
A) 3
B) \(\frac{1}{3}\)
C) \(0 . \overline{3}\)
D) B and C
Answer:
D) B and C

Question 30.
\(\log _4 8^2\) …………………..
A) 4
B) 8
C) 2
D) 3
Answer:
A) 4

Question 31.
Last digit of 5¹⁰⁰ is ………..
A) 5
B) 6
C) 0
D) Cannot say
Answer:
C) 0

Question 32.
log₁₀0 …….
A) does not exist
B) 1
C) 0
D) exist
Answer:
B) 1

Question 33.
If log 2 = 0.30103, then log 32 = ( )
A) 4.81648
B) 1.50515
C) 9.63296
D) 9.0309
Answer:
A) 4.81648

Question 34.
If log₁₀ 0.00001 = x, then x =
A) 4
B) -4
C) 5
D) -5
Answer:
D) -5

Question 35.
If log_aax² – 5x + 8 = 2, then x = ….
A) 2 or 3
B) 5 or 7
C) -2 or -3
D) 8 or -2
Answer:
D) 8 or -2

Question 36.
log₃x² = 2 then x =
A) 2
B) -2
C) 3
D) -3
Answer:
C) 3

Question 37.
\(\log _9 \sqrt{3 \sqrt{3 \sqrt{3}}}\) = ……….
A) \(\frac{7}{8}\)
B) \(\frac{7}{16}\)
C) \(\frac{7}{16}\)
D) \(\frac{1}{8}\)
Answer:
A) \(\frac{7}{8}\)

Question 38.
log₈128 =
(A) 7/3
(B) 16
(C) 2048
(D) 136
Answer:
(D) 136

Question 39.
Which of the following is an irrational number ? ( )

Answer:
(D) \(\sqrt{25+16}\)

Question 40.
The prime factorization of 144 is ( )
A) 4² × 3²
B) 2⁷ × 3⁴
C) 12 × 12
D) 2⁴ × 3²
Answer:
D) 2⁴ × 3²

Question 41.
L.C.M of the numbers 2⁷ × 3⁴ × 7 and 2³ × 3⁴ × 11 is ( )
A) 2³ × 3⁴
B) 2⁷ × 3⁴
C) 2⁷ × 3⁴ × 7 × 11
D) 2³ × 3⁴ × 7 × 11
Answer:
D) 2³ × 3⁴ × 7 × 11

Question 42.
The H.C.F. of the numbers 3⁷ × 5³ × 2⁴ and 3² × 7⁴ × 2⁸ is
A) 2⁴ × 3²
B) 2⁸ × 3⁷ × 5³ × 7⁴
C) 2⁸ × 3⁷
D) 2 × 3 × 5 × 7
Answer:
C) 2⁸ × 3⁷

Question 43.
The decimal expansion of 0.225 in its rational form is
A) 225
B) \(\frac{225}{10^4}\)
C) \(\frac{225}{10^2}\)
D) \(\frac{9}{40}\)
Answer:
C) \(\frac{225}{10^2}\)

Question 44.
Which of the following is a rational number ?
A) \(\sqrt{3}\)
B) \(\sqrt{5}\)
C) \(\sqrt{7}\)
D) \(\sqrt{9}\)
Answer:
A) \(\sqrt{3}\)

Question 45.
What is the L.C.M of greatest 2 digit num-ber and the greatest 3 digit number ?
A) 99 × 999
B) 999
C) 99 × 9 × 111
D) 9 × 11 × 111
Answer:
B) 999

Question 46.
What is the H.C.F of n and n + 1, where n is a natural number ? ( )
A) n
B) n + 1
C) n/2
D) 1
Answer:
D) 1

Question 47.
What is the L.C.M of least prime and the least composite number ?
A) least prime × least composite
B) 2
C) least composite
D) 6
Answer:
D) 6

Question 48.
The product of L.C.M. and H.C.F. of the least prime and least composite number is ( )
A) 4
B) 6
C) 8
D) 16
Answer:
D) 16

Question 49.
n² – 1 is divisible by 8, if n is ( )
A) an odd number
B) an even number
C) prime number
D) integer
Answer:
B) an even number

Question 50.
If x and y are any two co-primes, then their L.C.M. is ( )
A) x + y
B) x . y
C) x/y
D) x – y
Answer:
C) x/y

Question 51.
If x and y are any two relatively prime numbers, then their H.C.F is ( )
A) x . y
B) x
C) y
D) 1
Answer:
D) 1

Question 52.
If m and n are co-primes, the H.C.F. of m² and n² is ( )
A) m
B) n²
C) m²
D) 1
Answer:
A) m

Question 53.
If n is a natural number, then which of the following expression ends in zero ?
A) (3 × 2)ⁿ
B) (5 × 7)ⁿ
C) (9 × 3)ⁿ
D) (2 × 5)ⁿ
Answer:
A) (3 × 2)ⁿ

Question 54.
The number of prime factors of 72 is
A) 12
B) 2
C) 3
D) 6
Answer:
C) 3

Question 55.
How many prime factors are there in the prime factorization of 240 ? ( )
A) 20
B) 5
C) 3
D) 6
Answer:
B) 5

Question 56.
After how many digits will the decimal expansion of 11/32 terminates ? ( )
A) 5
B) 4
C) 3
D) Never
Answer:
D) Never

Question 57.
p, q are co-primes and q = 2ⁿ.5^m where m > n, then the decimal expansion of p/q terminates after places.
A) m
B) n
C) m . n
D) m + n
Answer:
A) m

Question 58.
The decimal expansion of \(\frac{9}{17}\) is
A) terminating
B) non-terminating & non-repeating
C) non-terminating & repeating
D) none
Answer:
D) none

Question 59.
The decimal expansion of \(\frac{27}{14}\) is ( )
A) \(1 . \overline{9285714}\)
B) \(1.9 \overline{285714}\)
C) 1.9285714
D) \(0.19 \overline{285714}\)
Answer:
A) \(1 . \overline{9285714}\)

Question 60.
\(5.6789 \overline{1}\) is a ……. number ( )
A) prime
B) composite
C) irrational
D) rational
Answer:
C) irrational

Question 61.
0.12112 1112 11112 ….. is …… number
A) irrational
B) rational
C) composite
D) prime
Answer:
C) composite

Question 62.
\(\sqrt{2}\) – 2 is …….. number ( )
A) natural
B) rational
C) whole
D) an irrational
Answer:
D) an irrational

Question 63.
3 × 5 × 7 × 11 + 35 is …… number.
A) composite
B) natural
C) negative
D) none
Answer:
B) natural

Question 64.
The decimal expansion of \(\frac{209}{80}\) terminates after ….. places. ( )
A) 5
B) 6
C) 4
D) 9
Answer:
A) 5

Question 65.
7 × 11 × 17 + 34 is divisible by ………
A) 7 or 10
B) 7 or 19
C) 17 or 79
D) 8 or 231
Answer:
C) 17 or 79

Question 66.
\(\frac{73}{625}\) has a …… decimal expansion.
A) Non-terminal
B) Terminal
C) Non-terminating, repeating
D) None
Answer:
D) None

Question 67.
The number of prime factors of 1024 is ………..
A) 12
B) 9
C) 7
D) 1
Answer:
B) 9

Question 68.
The decimal expansion of \(\frac{199}{99}\) is ……….
A) \(1 . \overline{02}\)
B) \(1 . \overline{07}\)
C) \(1 . \overline{39}\)
D) \(1 . \overline{14}\)
Answer:
D) \(1 . \overline{14}\)

Question 69.
The period of the decimal expansion of \(\frac{19}{21}\) is ……
A) 917461
B) 904761
C) 940761
D) None
Answer:
A) 917461

Question 70.
If a rational number p/q has a terminating decimal, then the prime factorisation q is of the form
A) 3^m5ⁿ
B) 3^m
C) 3^m5ⁿ3^p
D) 2^m5ⁿ
Answer:
C) 3^m5ⁿ3^p

Question 71.
The prime factorisation of 20677 is
A) 13 × 29 × 71
B) 23 × 29 × 31
C) 19 × 23 × 17
D) None
Answer:
C) 19 × 23 × 17

Question 72.
The LCM of 208 and 209 is …..
A) 208 × 109
B) 19 × 218
C) 104 × 20
D) 208 × 209
Answer:
A) 208 × 109

Question 73.
The HCF of 1001 and 1002 is ….
A) 1
B) 7
C) 9
D) 11
Answer:
B) 7

Question 74.
If p₁, p₂, p₃,…… p_n are co-primes then their LCM is …….
A) p₃p₅p₇
B) p₆p₇…. p_n
C) p₁p₂…….. p_n
D) p₂p₄…..p_n
Answer:
C) p₁p₂…….. p_n

Question 75.
In the above problem HCF is ….
A) p₁
B) 9
C) 1
D) 7
Answer:
D) 7

Question 76.
The decimal expansion of \(\frac{7}{16}\) without actual division is …….
A) 0.4375
B) 4.375
C) 43.75
D) 0.0004375
Answer:
C) 43.75

Question 77.
The expansion of \(\frac{87}{625}\) terminates after …. places.
A) 6
B) 4
C) 14
D) 9
Answer:
A) 6

Question 78.
The expansion of \(\frac{123}{125}\) terminates after ……. places.
A) 9
B) 7
C) 3
D) None
Answer:
C) 3

Question 79.
The decimal form of \(\frac{80}{81}\) repeats after …….. places.
A) 16
B) 12
C) 7
D) None
Answer:
D) None

Question 80.
\(\frac{70}{71}\) is a …… decimal.
A) terminating
B) non-terminating
C) non-terminating, repeating
D) none
Answer:
B) non-terminating

Question 81.
\(\frac{123}{125}\) is a … decimal.
A) terminating
B) non-terminating
C) non-terminating, repeating
D) none
Answer:
C) non-terminating, repeating

Question 82.
14.381 may certain the denominator when expressed in p/q form is ….
A) 8³ × 6³
B) 12³ × 4³
C) 2³ × 5³
D) 7³ × 8³
Answer:
C) 2³ × 5³

Question 83.
5\(\sqrt{5}\) + 6\(\sqrt{5}\) – 2 \(\sqrt{5}\) = ……
A) 6 \(\sqrt{5}\)
B) 7 \(\sqrt{5}\)
C) 2 \(\sqrt{5}\)
D) 9 \(\sqrt{5}\)
Answer:
D) 9 \(\sqrt{5}\)

Question 84.
9 \(\sqrt{2}\) × \(\sqrt{2}\) = ……
A) 16
B) 18
C) 19
D) 20
Answer:
D) 20

Question 85.
log₁₀10 = ……………
A) 0
B) -1
C) 1
D) 7
Answer:
D) 7

Question 86.
log_a\(\frac{1}{a}\) = ……
A) 4
B) 3
C) -1
D) 12
Answer:
A) 4

Question 87.
log_ba . log_ab = ……
A) 7
B) 3
C) 4
D) 1
Answer:
A) 7

Question 88.
log₁1 = …………
A) 1
B) -1
C) 0
D) not defined
Answer:
D) not defined

Question 89.
log_0.10.01 = ……..
A) 8
B) 6
C) 9
D) None
Answer:
B) 6

Question 90.
log 2 + log 5 = …….
A) 1
B) 2
C) 9
D) 12
Answer:
A) 1

Question 91.
16 × 64 = 4^k then k = ……..
A) 9
B) 12
C) 5
D) 19
Answer:
C) 5

Question 92.
a + b = b + a is called …….. property.
A) Associative
B) Identity
C) Inverse
D) Commutative
Answer:
B) Identity

Question 93.
log₅125 = ……..
A) 5
B) 3
C) 15
D) 12
Answer:
C) 15

Question 94.
Exponential form of log₄64 = 3 is ……..
A) 4³ = 64
B) 3⁴ = 64
C) 4² = 81
D) None
Answer:
A) 4³ = 64

Question 95.
log 15 = ……..
A) log 5 + log 10
B) log 3 + log 12
C) log 5 + log 3
D) all the above
Answer:
D) all the above

Question 96.
\(\frac{1}{\sqrt{2}}\) is a ………. number.
A) rational
B) an irrational
C) natural
D) whole
Answer:
B) an irrational

Question 97.
Q ∪ Q’ = ………..
A) P
B) C
C) R
D) None
Answer:
A) P

Question 98.
……….. is called the additive identity.
A) 0
B) 1
C) 2
D) None
Answer:
B) 1

Question 99.
\(\sqrt{2}\) = 1.414 then 3 \(\sqrt{2}\) = ………..
A) 2.42
B) 13.42
C) 42.42
D) 4.242
Answer:
D) 4.242

Question 100.
\(\frac{23}{2^3 \cdot 5^2}\) = ……….
A) 11.5
B) 0.115
C) 1.15
D) 115.1
Answer:
A) 11.5

Question 101.
0.9375 = ……….
A) \(\frac{15}{16}\)
B) \(\frac{5}{16}\)
C) \(\frac{16}{15}\)
D) \(\frac{18}{1199}\)
Answer:
A) \(\frac{15}{16}\)

Question 102.
4\(\frac{1}{5}\) = ……….
A) 4.12
B) 4.2
C) 0.42
D) 4.02
Answer:
B) 4.2

Question 103.
\(\frac{5}{11}\) = ……….
A) \(0 . \overline{43}\)
B) \(0 . \overline{44}\)
C) \(0 . \overline{31}\)
D) \(0 . \overline{45}\)
Answer:
D) \(0 . \overline{45}\)

Question 104.
LCM of 12, 15 and 21 is ………
A) 420
B) 440
C) 820
D) 110
Answer:
A) 420

Question 105.
0.4 = ……..
A) \(\frac{2}{5}\)
B) \(\frac{5}{2}\)
C) \(\frac{1}{9}\)
D) None
Answer:
A) \(\frac{2}{5}\)

Question 106.
\(\sqrt{\frac{4}{9}}\) = …………
A) \(\frac{3}{2}\)
B) \(\frac{2}{3}\)
C) \(\frac{\sqrt{2}}{3}\)
D) \(\frac{2}{\sqrt{3}}\)
Answer:
B) \(\frac{2}{3}\)

Question 107.
HCF of 12, 18 is …………
A) 12
B) 9
C) 2
D) 6
Answer:
D) 6

Question 108.
2² × 5 × 7 = ………..
A) 240
B) 144
C) 140
D) 909
Answer:
C) 140

Question 109.
loga_a 1 ……. a > 0
A) a²
B) 2
C) 1
D) 0
Answer:
D) 0

Question 110.
log₂₀₁₅2015 = ………
A) 15
B) 1
C) 5
D) 0
Answer:
B) 1

Question 111.
Multiplicative inverse of 3\(\frac{1}{3}\) is ……..
A) 3\(\frac{1}{3}\)
B) \(\frac{3}{13}\)
c) \(\frac{3}{10}\)
d) \(\frac{3}{14}\)
Answer:
c) \(\frac{3}{10}\)

Question 112.
(ab)c = a(bc) is called …….. property.
A) Associative
B) Inverse
C) Identity
D) None
Answer:
A) Associative

Question 113.
\(\frac{41}{75}\) = ………..

Answer:

Question 114.
log 64 – log 4 = ………..
A) 4
B) 7
C) 1
D) None
Answer:
D) None

Question 115.
LCM of 306 and 657 is …….
A) 22338
B) 23238
C) 11128
D) None
Answer:
A) 22338

Question 116.
\(\frac{1167}{50}\) = ……….
A) 1.675
B) 23.34
C) 81.45
D) None
Answer:
B) 23.34

Question 117.
6ⁿ can not end with ………
A) 6
B) 0
C) 2
D) None
Answer:
B) 0

Question 118.
\(\sqrt{\mathbf{2 0 2 5}}\) = ………..
A) 405
B) 54
C) 45
D) 55
Answer:
C) 45

Question 119.
5⁵ = ……….
A) 1325
B) 1125
C) 3125
D) 1859
Answer:
C) 3125

Question 120.
\(\frac{3}{8}\) = ………
A) 0.375
B) 3.75
C) 8.175
D) None
Answer:
A) 0.375

Question 121.
\(\sqrt{5}\) = ……..
A) 1.414
B) 2.236
C) 1.73
D) 2.998
Answer:
B) 2.236

Question 122.
log₂16 = ………….
A) 2
B) 8
C) 4
D) 12
Answer:
C) 4

Question 123.
2 log 3 + 3 log 5 – 5 log 2 = ………
A) log \(\frac{1125}{32}\)
B) log \(\frac{125}{23}\)
C) log \(\frac{1025}{16}\)
D) None
Answer:
A) log \(\frac{1125}{32}\)

Question 124.
log₂ 1024 = ……….
A) 16
B) 20
C) 19
D) 10
Answer:
D) 10

Question 125.
log₁₈ 324 = ………
A) 2
B) 16
C) 19
D) 12
Answer:
A) 2

Question 126.
log₃ \(\frac{1}{27}\) = ………
A) 3
B) 6
C) -3
D) -7
Answer:
C) -3

Question 127.
log₆ 1 = ………….
A) 12
B) 19
C) 7
D) 0
Answer:
D) 0

Question 128.
128 + 32 = ……
A) 9
B) 6
C) 4
D) None
Answer:
C) 4

Question 129.
log₁₀ 10000 = ……
A) 4
B) 3
C) 2
D) None
Answer:
A) 4

Question 130.
log₂₇ 9 ……….
A) \(\frac{3}{2}\)
B) \(\frac{2}{3}\)
C) 1
D) A) \(\frac{1}{2}\)
Answer:
B) \(\frac{2}{3}\)

Question 131.
log₇ \(\sqrt{49}\) = ……..
A) 1
B) 10
C) 11
D) 12
Answer:
A) 1

Question 132.
Expanded form of log 1000 is
A) 3 log 2 + 3 log 5
B) 2 log 2 + log 5
C) log 2 – log 5
D) None
Answer:
A) 3 log 2 + 3 log 5

Question 133.
\(\frac{3}{2}\) (log x) – (log y) = ………….
A) log \(\frac{\sqrt{x^3}}{y^2}\)
B) log \(\sqrt{\frac{x^3}{y^2}}\)
C) log \(\frac{x^3}{y^2}\)
D) None
Answer:
B) log \(\sqrt{\frac{x^3}{y^2}}\)

Question 134.
\(\frac{13}{4}\) = ………….
A) 3.1251
B) 1.15
C) 3.25
D) None
Answer:
C) 3.25

Question 135.
(\(\sqrt{7}\) + \(\sqrt{5}\)) (\(\sqrt{7}\) – \(\sqrt{5}\)) = ……
A) 12
B) 10
C) 9
D) 2
Answer:
D) 2

Question 136.
2 \(\sqrt{3}\) + 7 \(\sqrt{3}\) + \(\sqrt{3}\)
A) 110 \(\sqrt{3}\)
B) 7 \(\sqrt{3}\)
C) 9 \(\sqrt{3}\)
D) 10 \(\sqrt{3}\)
Answer:
D) 10 \(\sqrt{3}\)

Question 137.
log₂ 512 = ……
A) 9
B) 10
C) 3
D) 12
Answer:
A) 9

Question 138.
Logarithmic form of a^x = b is ………..
A) log_b x = a
B) log_x b = a
C) log_b a = x
D) log_a b = x
Answer:
D) log_a b = x

Question 139.
10⁴ = ………
A) 10009
B) 10090
C) 10000
D) None
Answer:
C) 10000

Question 140.
……….. has no multiplication inverse.
A) \(\frac{9}{7}\)
B) \(\frac{2}{3}\)
C) \(\frac{9}{14}\)
D) 0
Answer:
D) 0

Question 141.
|-203| = ………….
A) 101
B) -203
C) 302
D) 203
Answer:
D) 203

Question 142.
log₃\(\frac{1}{9}\) = …….
A) 6
B) 4
C) 2
D) None
Answer:
D) None

Question 143.
HCF of 1 and 143 = …….
A) 1
B) 43
C) 34
D) 10
Answer:
A) 1

Question 144.
a(b + c) = ………
A) ab + c
B) bc + d
C) ab + ac
D) a + bc
Answer:
C) ab + ac

Question 145.
a + (-a) = 0 = (-a) + a is called ……. property.
A) Inverse
B) Identity
C) Commutative
D) None
Answer:
A) Inverse

Question 146.
log₃\(\frac{1}{9}\) = ……….
A) \(\frac{1}{4}\)
B) \(\frac{1}{2}\)
C) \(\frac{-5}{2}\)
D) \(\frac{-2}{5}\)
Answer:
D) \(\frac{-2}{5}\)

Question 147.
log₁₀100 = ………..
A) 2
B) 6
C) 0.1
D) None
Answer:
A) 2

Question 148.
\(\sqrt{12544}\) = ………
A) 161
B) 122
C) 112
D) 113
Answer:
C) 112

Question 149.
\(\sqrt{a}\) – \(\sqrt{b}\) = …………
A) ab
B) b\(\sqrt{a}\)
C) a\(\sqrt{b}\)
D) \(\sqrt{ab}\)
Answer:
D) \(\sqrt{ab}\)

Question 150.
Which of the following is a correct one
A) N ⊂ Z ⊂ W
B) N ⊂ W ⊂ Z
C) R ⊂ N ⊂ W
D) All the above
Answer:
B) N ⊂ W ⊂ Z

Question 151.
log_x \(\frac{\mathbf{a}}{\mathbf{b}}\) = …………..
A) log_x a – log_x b
B) log_x a + log_x b
C) logx ab
D) None
Answer:
A) log_x a – log_x b