CBSE Class 8 Mathematics Question 11 of 12

Proportional Reasoning 2 — Question 11

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11
Question
A factory requires 42 machines to produce a given number of toys in 63 days. How many machines are required to produce the same number of toys in 54 days?
Answer

No. of machines and no. of days are in inverse proportion. 42 × 63 = x × 54 ⇒ x = 49 So, 49 machines are required.


Source: This question is from Proportional Reasoning 2, Mathematics — Class 8, CBSE Board.

Key Concepts Covered

This question tests your understanding of the following concepts from the chapter Proportional Reasoning 2: Factory, Requires, Machines, Produce, Number, Toys. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 8 curriculum.

A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.

How to Approach This Question

Read the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.

Key Points to Remember

  • Always show your working steps clearly.
  • Verify your answer by substituting values back into the equation.
  • Practice similar problems from the textbook exercises.
  • Memorise important formulae and their conditions of applicability.

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