Skip to content

Assertion (A): 4^n can… (Class 10 Maths Basic 2026, Q20)

questionbuddy.in/q/cbse-10-maths-2026-430-4-1-q20-can-not-end-digit-zero

MathsCBSE Class 10 · Basic · Board exam 2026, set 430/4/1 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Basic 2026: question 20

Set in the CBSE Class 10 board exam of 2026, paper 430/4/1, section A, question 20, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q20 · 1 mark · Assertion-reasonCompetency-basedReal Numbers

Assertion (A): can not end with the digit zero.

Reason (R): Prime factorisation of is unique.

  1. (A)Both, Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).
  2. (B)Both, Assertion (A) and Reason (R) are true, but Reason (R) is not correct explanation for Assertion (A).
  3. (C)Assertion (A) is true, but Reason (R) is false.
  4. (D)Assertion (A) is false, but Reason (R) is true.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/4/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

For a number to end in 0, which primes must divide it?

Hint 2

Does uniqueness of factorisation by itself explain this?

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. has no factor 5, so it cannot end in 0. A is true.

  2. R is true by the Fundamental Theorem of Arithmetic, but uniqueness alone does not explain A; the absence of the factor 5 does. So option (B).

    1 mark

Answer: Option (B)

Where the marks are

  • States both A and R are true, but R does not explain A (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Real Numbers, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 430/4/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.