For some integer m, every even integer is of the form (a) m (b) m +1 (c) 2m (d) 2m +1

2. For some integer q, every odd

For some integer m, every even integer is of the form (a) m (b) m +1 (c) 2m (d) 2m +1

2. For some integer q, every odd integer is of the form (b) q+1 (c) 2q (d) 2q + 1

(a) q

3. n-1 is divisible by 8, if n is (a) an integer

(b) a natural number

(c) an odd integer (d) an even integer

4. If the HCF of 65 and 117 is expressible in the form 65m-117, then the value of mis (a) 4 (b) 2 (c) 1 (d) 3

5. The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is (a) 13 (b) 65 (c) 875 (d) 1750

6. If two positive integers a and b are written as axy and bxy: x, y are prime numbers, then HCF (a, b) is (b) xy² ( (c) x’y’ (d) ry²

(a) xy

7. If two positive integers p and q can be expressed as pab² and q a’ba, b being prime numbers, then LCM (p. q) is (a) ab (b) a²b² (c) a²b² (d) a’b’

8. The product of a non-zero rational and an irrational number is (a) always irrational (b) always rational (c) rational or irrational (d) one

9. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is (a) 10 (b) 100 (c) 504 (d) 2520

14587 10. The decimal expansion of the rational number will terminate after. 1250

(a) one decimal place (b) two decimal places (c) three decimal places

(d) four decimal places

11. The decimal expansion of the rational number 33 25 will terminate after (b) two decimal places

(a) one decimal place (c) three decimal places (d) more than 3 decimal places​