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ICSE Class 10 Mathematics Question 2 of 21

Solved 2024 Specimen Paper ICSE Class 10 Mathematics — Question 6

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6
Question

Question 1(vi)

The table shows the values of x and y, where x is proportional to y. What are the values of M and N ?

xy
6M
1218
N6

  1. M = 4, N = 9

  2. M = 9, N = 3

  3. M = 9, N = 4

  4. M = 12, N = 0

Answer

Given, x is proportional to y.

⇒6M=1218⇒M=6×1812⇒M=10812⇒M=9.1218=N6⇒N=12×618⇒N=7218⇒N=4.\Rightarrow \dfrac{6}{M} = \dfrac{12}{18} \\[1em] \Rightarrow M = \dfrac{6 \times 18}{12} \\[1em] \Rightarrow M = \dfrac{108}{12} \\[1em] \Rightarrow M = 9. \\[1.5em] \dfrac{12}{18} = \dfrac{N}{6} \\[1em] \Rightarrow N = \dfrac{12 \times 6}{18} \\[1em] \Rightarrow N = \dfrac{72}{18} \\[1em] \Rightarrow N = 4.

Hence, Option 3 is the correct option.

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