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The mean age of a… (Class 10 Maths SQP 2026-27, Q12)

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MathsCBSE Class 10 · Standard · Sample paper, session 2026-27 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2026-27: question 12

From the official CBSE sample question paper for 2026-27, section A, question 12, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q12 · 1 mark · MCQStatistics

The mean age of a combined group of men and women is 35 years. If the mean ages of the men and women are 38 years and 30 years respectively, then the percentage of women in the group is:

  1. (A)15
  2. (B)25.5
  3. (C)35
  4. (D)37.5

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

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

Hint 1

Write the combined mean using the numbers of men and women.

Hint 2

Find the ratio of men to women.

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. Let there be men and women. Then .

  2. Women make up of the group, which is option (D).

    1 mark

Answer: 37.5%, option (D)

Where the marks are

  • Uses the combined mean to get x : y = 5 : 3 and finds 37.5% (1 mark)

Revise the chapter

  • Chapter: Statistics (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Statistics, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2026-27 (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.