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A pair of irrational numbers… (Class 10 Maths 2024, Q14)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2024: question 14

Set in the CBSE Class 10 board exam of 2024, paper 30/3/1, 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

A pair of irrational numbers whose product is a rational number is:

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

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/3/1.

Hints

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

Hint 1

Check first that both numbers in the pair are irrational.

Hint 2

Multiply the numbers under the square root.

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. In (A) and (D), and are rational, so those pairs are not both irrational. In (B), is irrational.

  2. In (C), both numbers are irrational and is rational. So the answer is option (C).

    1 mark

Answer: , option (C)

Where the marks are

  • Chooses option (C) with product 9 (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 paper2024 board paper, set 30/3/1 (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.