In the rational form of a terminating decimal number prime factor of the denominator is ………………..
A) only 2
B) only 5
C) 2 or 5 only
D) any prime

log₁₀2 + log₁₀5 value = ……………….
A) 1
B) 2
C) 5
D) 10

If P₁ and P₂ are two odd prime numbers such that P₁ > P₂, then P₁² -P₂² is ……………..
A) an even number
B) an odd number
C) a prime number
D) an odd prime number

The HCF of two consecutive natural numbers is
A) 1
B) 2
C) 3
D) 4

The fundamental theorem of arithmetic is applicable to
A) 4
B) 3
C) 2
D) 1

The last digit of 6⁵⁰ is ………………..
A) 1
B) 6
C) 2
D) 3

A rational number that equals to 2.6bar is
A) 7/3
B) 8/3
C) 16/7
D) 17/7

The value of log₂₅ 5 = …………………
A) 1/2
B) 2
C) 5
D) 25

The value of log_√2 64 is ………………..
A) -6
B) 12
C) 6
D) 8

Which is the three digit number divisible by 7 ?
A) 100
B) 133
C) 137
D) 143

Which one of the following rational numbers have non-terminating repeating decimal expansion ?
A) 31/3125
B) 71/512
C) 23/200
D) None of these

The relation a . (b . c) = (a . b). c is
A) distributive law
B) associative law
C) commutative law
D) closure law

The HCF of 1.2 and 0.12 is
A) 1.2
B) 12
C) 0.12
D) 120

The value of log₃ 243 =
A) 5
B) 6
C) 4
D) 8

0.10110111011110 …………….. is
A) an integer
B) a rational number
C) an irrational number
D) a natural number

The LCM 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

The number of rational numbers exist between any two distinct rational numbers is
A) 0
B) 1
C) 2
D) infinite

The prime factorization of 163800 is
A) 2² × 3³ × 5⁵ × 7 × 13
B) 2³ × 3² × 5² × 7 × 13
C) 2³ × 3² × 5⁵ × 7 × 13
D) None

If log₁₀3 = 0.4771, then the value of log 15 + log 2 =
A) 47.71
B) 1.4771
C) 4.77
D) 0.4771

√3 + √5 is a …………………
A) positive rational number
B) negative rational number
C) positive irrational number
D) negative irrational number

If a + b = 5, ab = 6, then a³ + b³ =
A) 5
B) 25
C) 35
D) 125

2 log 3 – 3 log 2 =
A) log 0
B) log 1
C) log (9/8)
D) log (72)