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## Real Numbers Class 10 Multiple Choice Test

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Real Numbers Class 10 (100101)

Challenge Yourself …

1 / 10

The value of x in the factor tree is:

(a)  30

(b) 150

(c) 100

(d) 50

2 / 10

If $$x=2^3 \times 3 \times 5^2$$, $$y=2^2 \times 3^3$$, then HCF(x, y) is:

(a) 12

(b) 108

(c) 6

(d) 36

3 / 10

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

4 / 10

If two integers a and b are written as a = x3y2 and b = xy4; x, y are prime numbers, then H.C.F.(a, b) is:

(a) x3y

(b) x2y2

(c) xy

(d) xy2

5 / 10

If p, q are two prime numbers, then LCM(p, q) is:

(a) 1

(b) p

(c) q

(d) pq

6 / 10

$$(\sqrt{2}-\sqrt{3})(\sqrt{3}+\sqrt{2})$$ is:

(a) A rational number

(b) a whole number

(c) an irrational number

(d) a natural number

7 / 10

Given that HCF(253,  440) = 11 and LCM(253, 440) = 253×R. The value of R is:

(a) 400

(b) 40

(c) 440

(d) 253

8 / 10

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

9 / 10

Given that HCF(26, 91) = 13, then LCM of (26, 91) is:

(a) 2366

(b) 182

(c) 91

(d) 364

10 / 10

If p, q are two consecutive natural numbers, then HCF(p, q) is:

(a) q

(b) p

(c) 1

(d) pq