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Which of the following is a… (Class 10 Maths 2025, Q14)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 14

Set in the CBSE Class 10 board exam of 2025, paper 30/1/1, section A, question 14, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q14 · 1 mark · MCQReal Numbers

Which of the following is a rational number between and ?

  1. (A)
  2. (B)
  3. (C)
  4. (D)

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/1/1.

Hints

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

Hint 1

First find decimal approximations of and .

Hint 2

A terminating or repeating decimal is rational. Check which such option lies between 1.732 and 2.236.

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 . The required number must be rational and lie between these two values.

  2. (A) is less than 1.732 and is non-terminating with no repeating pattern. (B) is greater than 2.236. (C) is irrational and is about 3.14.

  3. (D) is a terminating decimal, so it is rational. Also . The answer is option (D).

    1 mark

Answer: 1.857142, option (D)

Where the marks are

  • Chooses option (D) 1.857142 (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 paper2025 board paper, set 30/1/1 (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.