Practice Test · Class 10

Real Numbers

10 questions randomised from the chapter. Type each final answer and submit to see your score.

00:01

0/10 attempted

Show that any positive odd integer is of the form

4q+1

4q+3

Find the HCF and LCM of

12, 15

and

21

Explain why

7\cdot 11\cdot 13 + 13

is composite.

Can the number

6^n

end with the digit

0

Prove that

\sqrt{7}

is irrational.

Find HCF of

180

and

252

using Euclid's algorithm.

Find LCM of

306

and

657

if HCF is

9

Decide (without long division) whether

\dfrac{17}{8}

terminates.

Prove that

3 + 2\sqrt{5}

is irrational.

Two numbers have HCF

9

and LCM

2016

. If one is

54

, find the other.