**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) 2^{3} × 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