X Real Number MCQ Assignments in Mathematics Class X (Term I)

X Real Number MCQ  Assignments in Mathematics Class X (Term I)

1. Euclid’s division algorithm can be applied to :

(a) only positive integers            (b) only negative integers

(c) all integers                            (d) all integers except 0.

2. For some integer m, every even integer is of the form :

(a) m (b) m + 1 (c) 2m (d) 2m + 1

3. If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is :

(a) 1 (b) 2 (c) 3 (d) 4

4. If two positive integers p and q can be expressed as p = ab2 and q = a3b, a; b being prime numbers, then LCM (p, q) is :

(a) ab (b) a2b2 (c) a3b2 (b) a3b3

5. 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

6. 7 × 11 × 13 × 15 + 15 is :

(a) composite number                 (b) prime number

(c) neither composite nor prime  (d) none of these

7. 1.23 is :

(a) an integer (b) an irrational number (c) a rational number (d) none of these

8. If two positive integers p and q can be expressed as p = ab2 and q = a2b; a, b being prime numbers, then LCM (p, q) is :

(a) a2b2 (b) ab (c) ac3b3 (d) a3b2

9. Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q and r such that a = bq + r, where :

(a) 0 < r ≤ b (b) 1 < r < b (c) 0 < r < b (d) 0 ≤ r < b

10. 3.24636363... is :

(a) a terminating decimal number (b) a non-terminating repeating decimal number

(c) a rational number                    (d) both (b) and (c)

11.(n + 1)2 – 1 is divisible by 8, if n is :

(a) an odd integer (b) an even integer (c) a natural number (d) an integer

12. The largest number which divides 71 and 126, leaving remainders 6 and 9 respectively is :

(a) 1750 (b) 13 (c) 65 (d) 875

13. For some integer q, every odd integer is of the form :

(a) 2q (b) 2q + 1 (c) q (d) q + 1

14. If the HCF of 85 and 153 is expressible in the form 85m – 153, then the value of m is :

(a) 1 (b) 4 (c) 3 (d) 2

15. According to Euclid’s division algorithm, HCF of any two positive integers a and b with a > b is obtained by applying Euclid’s division lemma to a and b to find q and r such that a = bq + r, where r must satisfy :

(a) 1 < r < b (b) 0 < r < b (c) 0 ≤ r < b (d) 0 < r ≤ b