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The ratio of HCF to LCM of the… (Class 10 Maths 2023, Q1)

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MathsCBSE Class 10 · Standard · Board exam 2023, set 30/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 1

Set in the CBSE Class 10 board exam of 2023, paper 30/4/1, 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

The ratio of HCF to LCM of the least composite number and the least prime number is:

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

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/4/1.

Hints

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

Hint 1

Write down the smallest composite number and the smallest prime number.

Hint 2

Find the HCF and LCM of 4 and 2, then simplify the ratio.

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. The least composite number is and the least prime number is .

  2. and .

  3. . So the answer is option (A).

    1 mark

Answer: 1 : 2, option (A)

Where the marks are

  • Chooses option (A) 1 : 2 (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 30/4/1 (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.