Skip to content

If the HCF of 210 and 55 is… (Class 10 Maths 2026, Q24b)

questionbuddy.in/q/cbse-10-maths-2026-30-4-1-q24b-hcf-expressed-value

MathsCBSE Class 10 · Standard · Board exam 2026, set 30/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2026: question 24(b)

Set in the CBSE Class 10 board exam of 2026, paper 30/4/1, section B, question 24(b), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q24(b) · 2 marks · Very short answerReal Numbers

If the HCF of 210 and 55 is expressed as , then find the value of m.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/4/1.

Hints

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

Hint 1

First find the HCF of 210 and 55 by prime factorisation.

Hint 2

Set the HCF equal to and solve for m.

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. and , so HCF.

    1 mark

  2. So , i.e. .

    ½ mark

  3. .

    ½ mark

Answer:

Where the marks are

  • Finds HCF = 5 by prime factorisation (1 mark)
  • Forms (½ mark)
  • Gets (½ 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 30/4/1 (Standard): 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.