Q1. For some integer m, every odd integer is of the form
(A) m
(B) m + 1
(C) 2m
(D) 2m + 1
Answer: D
Explanation: As the number 2m will always be even, so if we add 1 to it then, the number will always be odd.
Q2. The decimal expansion of number is
(a) A terminating decimal
(b) Non-terminating but repeating
(c) Non-terminate non repeating
(d) terminating after two places of decimal
Answer: (a) A terminating decimal
Q.3 The decimal expansion of 22/7 is
(a)Terminating
(b)Non-terminating and repeating
(c)Non-terminating and Non-repeating
(d)None of the above
Answer: (c)
Explanation: 22/7= 3.14285714286..
Q.4 The addition of a rational number and an irrational number is equal to:
(a)rational number
(b)Irrational number
(c)Both
(d)None of the above
Answer: (b)
Q.5 The largest number that divides 70 and 125, which leaves the remainders 5 and 8, is:
(a)65
(b)15
(c)13
(d)25
Answer: (c)
Explanation: 70 -5 = 65 and 125-8=117
HCF (65, 117) is the largest number that divides 70 and 125 and leaves remainder 5 and 8
HCF (65, 117) = 13
Q.6 The least number that is divisible by all the numbers from 1 to 5 is.
(a)70
(b)60
(c)80
(d)90
Answer: (b)
Explanation: The least number will be LCM of 1, 2, 3, 4, 5.
Hence, LCM (1, 2, 3, 4, 5) = 2 x 2 x 3 x 5 = 60
Q.7 The product of a non-zero number and an irrational number is:
(A) always irrational
(B) always rational
(C) rational or irrational
(D) one
Answer: A
Q.8 The decimal expansion of 17/8 will terminate after how many places of decimals?
(a) 1
(b) 2
(c) 3
(d) will not terminate
Answer: (c) 3
Q.9 If the LCM of 12 and 42 is 10 m + 4 then the value of m is
(a) 50
(b) 8
(c) 15
(d) l
Answer: (b) 8
Q.10 Express 98 as a product of its primes
(a) 2² × 7
(b) 2² × 7²
(c) 2 × 7²
(d) 23 × 7
Answer: c
Q.11 Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.
(a) 98 kg
(b) 290 kg
(c) 200 kg
(d) 350 kg
Answer: a
Explaination:(a); [Hint. HCF of 490, 588, 882 = 98 kg]
Q.12 If HCF (16, y) = 8 and LCM (16, y) = 48, then the value of y is
(a) 24
(b) 16
(c) 8
(d) 48
Answer: a
