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Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y? - Mathematics

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Question

Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y?

Options

  • 12 and 5

  • 15 and 4

  • 25 and 2.4

  • 45 and 1.3

MCQ

Solution

45 and 1.3

Explanation:

Since, x and y vary inversely, i.e. x × y = k  ...(Constant)

If x = 10 and y = 6

∴ xy = 10 × 6 = 60

In option (a), 12 × 5 = 60

In option (b), 15 × 4 = 60

In option (c), 25 × 2.4 = 60

But in option (d), 45 × 1.3 = 58.3

Hence, 45 × 1.3 = 58.3 is correct.

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Chapter 10: Direct and Inverse Proportions - Exercise [Page 315]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 10 Direct and Inverse Proportions
Exercise | Q 2. | Page 315

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