class 10 maths chapter 1 mcq 7e

#1. The product of a rational and irrational number is

(d) none of above

(a) rational

(c) both of above

(b) irrational

#2. A lemma is an axiom used for proving

(a) other statement

(c) contradictory statement

(b) no statement

(d) none of these

#3. For any two positive integers a and b, there exist (unique) whole numbers q and r such that

(d) none of these

(c) b = aq + r , 0 ⩽ r < b.

(b) a = bq + r , 0 ⩽ r < b.

(a) q = ar + b , 0 ⩽ r < b.

#4. √7 is

(c) A rational number

(a) An integer

(b) An irrational number

(d) None of these

#5. LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by

(a) x

(d) 𝑥𝑦

(b) y

(c) xy

#6. The product of a non zero rational and an irrational number is

(b) Always rational

(d) One

(a) Always irrational

(c) Rational or irrational

#7. Which of the following is not irrational?

(d)2√7/7

(b) (√2 + √3)2

(a) (2 – √3)2

(c) (√2 -√3)(√2 + √3)

#8. The LCM of two numbers is 1200. Which of the following cannot be their HCF?

(c) 400

(a) 600

(d) 200

(b) 500

#9. The sum of two irrational numbers is always

(d) one

(b) rational

(c) rational or irrational

(a) irrational

#10. The product of two different irrational numbers is always