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If a matrix has 36 elements, the… (Class 12 Maths 2024, Q2)

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MathsCBSE Class 12 · Board exam 2024, set 65/1/1 · 1 mark · MCQ

CBSE Class 12 Mathematics 2024: question 2

Set in the CBSE Class 12 board exam of 2024, paper 65/1/1, section A, question 2, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q2 · 1 mark · MCQMatrices

If a matrix has 36 elements, the number of possible orders it can have, is :

  1. (A)13
  2. (B)3
  3. (C)5
  4. (D)9

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 65/1/1.

Hints

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

Hint 1

An matrix has elements.

Hint 2

Count the ordered pairs with .

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. An order needs . The divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.

    ½ mark

  2. Each divisor gives exactly one order , so there are 9 possible orders.

    ½ mark

Answer: (D) 9

Where the marks are

  • Counts the divisors of 36 as the number of orders, 9 (1 mark)

Revise the chapter

  • Chapter: Matrices (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Matrices, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 65/1/1: 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.