Question 8

# In the following question, select the related number from the given alternatives.63 : 108 : : 42 : ?

Solution

Given, 63 is related to 108

The logic here is

$$\frac{6^3}{2}=\frac{216}{2}=108$$ $$\longrightarrow\$$ $$\frac{\text{first digit of first number}^{\text{second digit of first number}}}{2}=\text{second number}$$

Similarly,

$$\frac{4^2}{2}=\frac{16}{2}=8$$

$$\therefore\$$42 is related to 8 in the same way 63 is related to 108.

Hence, the correct answer is Option B