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

ICSE Class 10 Mathematics PYQ · 2024 Specimen · Section A

1(vi)1 Mark · 2024 · Section A · 2024 Specimen

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
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Given, x is proportional to y.

$$\begin{aligned}\Rightarrow \frac{6}{M} = \frac{12}{18} \\[1em] \Rightarrow M = \frac{6 \times 18}{12} \\[1em] \Rightarrow M = \frac{108}{12} \\[1em] \Rightarrow M = 9. \\[1.5em] \frac{12}{18} = \frac{N}{6} \\[1em] \Rightarrow N = \frac{12 \times 6}{18} \\[1em] \Rightarrow N = \frac{72}{18} \\[1em] \Rightarrow N = 4.\end{aligned}$$

Hence, Option 3 is the correct option.

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