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Class 10 Mathematics — Chapter 1: Real Numbers

69 practice questions · 23 Easy · 23 Medium · 23 Hard

Free NCERT-aligned multiple-choice practice for Class 10 Mathematics, Chapter 1 (Real Numbers). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 69.

Sample questions

Q1Easy

The prime factorisation of 156 is:

A.2² × 3 × 13✓ correct
B.2 × 3 × 13
C.2² × 39
D.4 × 39
Why

156 = 2 × 78 = 2 × 2 × 39 = 2² × 3 × 13.

Q2Medium

Which of these has a terminating decimal expansion?

A.13/3125✓ correct
B.17/21
C.64/455
D.7/30
Why

p/q (lowest terms) terminates iff q has only 2 and/or 5 as prime factors. 3125 = 5⁵.

Q3Hard

Which method is used to prove that √2 is irrational?

A.Mathematical induction
B.Contradiction (assume rational, derive contradiction)✓ correct
C.Direct construction
D.Counter-example
Why

Assume √2 = p/q in lowest terms; show p and q must both be even — contradicting 'lowest terms'.

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