class 10 maths chapter 1 mcq 9e

#1. The values of the remainder r, when a positive integer a is divided by 3 are:

(C) 0, 1, 2

(A) 0, 1, 2, 3

(B) 0, 1

(D) 2, 3, 4

#2. The product of a non-zero number and an irrational number is:

(B) always rational

(C) rational or irrational

(A) always irrational

(D) one

#3. If two positive integers a and b are written as a = p^3q^2 and b = pq^3; p, q are prime numbers, then HCF (a, b) is:

(D) p^2q^2

(C) p^3q^3

(A) pq

(B) pq^2

#4. There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. The total number of sections thus formed are:

(d) 21

(c) 36

(b) 16

(a) 22

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

(C) 1

(D) 3

(A) 4

(B) 2

#6. If two positive integers p and q can be expressed as p = ab^2 and q = a^3b; a, b being prime numbers, then LCM (p, q) is

(D) a^3b^3

(C) a^3b^2

(B) a^2b^2

(A) ab

#7. The ratio between the LCM and HCF of 5, 15, 20 is:

(d) 12:1

(b) 4:3

(c) 11:1

(a) 9 : 1

#8. The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is

(C) 875

(A) 13

(D) 1750

(B) 65

#9. Two natural numbers whose difference is 66 and the least common multiple is 360, are:

(d) 130 and 64

(b) 90 and 24

(c) 180 and 114

(a) 120 and 54

#10. For some integer m, every odd integer is of the form

(D) 2m + 1

(A) m

(C) 2m

(B) m + 1