Question 32

Select the number that can replace the question mark (?) in the following pattern.

Solution

The logic here is

$$25^2-5^2=625-25=600$$

$$27^2-3^2=729-9=720$$

The top number is the difference of square of bottom left number and bottom right number.

Let the required number = a

Similarly, $$a^2-9^2=880$$

$$\Rightarrow$$ $$a^2-81=880$$

$$\Rightarrow$$ $$a^2=961$$

$$\Rightarrow$$ $$a=31$$

$$\therefore\ $$Required number = 31

Hence, the correct answer is Option C

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