Skip to content

If p² = 32/50, then p is a/an (Class 10 Maths 2023, Q1)

questionbuddy.in/q/cbse-10-maths-2023-30-6-1-q1

MathsCBSE Class 10 · Standard · Board exam 2023, set 30/6/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 1

Set in the CBSE Class 10 board exam of 2023, paper 30/6/1, section A, question 1, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q1 · 1 mark · MCQReal Numbers

If , then p is a/an

  1. (A)whole number
  2. (B)integer
  3. (C)rational number
  4. (D)irrational number

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/6/1.

Hints

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

Hint 1

Reduce the fraction 32/50 to its lowest terms first.

Hint 2

Take the square root of the numerator and of the denominator separately.

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. , so .

  2. is of the form with integers and , so p is a rational number. It is not an integer. Option (C).

    1 mark

Answer: p = ±4/5, a rational number, option (C)

Where the marks are

  • Simplifies to and identifies p as rational (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 paper2023 board paper, set 30/6/1 (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.