Question

A pattern is being followed to derive numbers using two out of the six numbers appearing on the faces of a dice having numbers from $4$ to $9$, both inclusive. Two such pair yield $106$ and $52$. What will the third pairs yield?

• A. $100$
• B. $113$
• C. $130$
• D. $145$

Answer 1

The correct option is B $113$

Here is a pattern following, we will add square of two numbers to get the resulting number.

Firstly, we will use 6 and 4

$6^2$$+$$4^2$ $=$ $36+16=52$

Next we use 9 and 5

$9^2$$+$$5^2$ $=$ $81+25=106$

Next we use 8 and 7

$8^2$$+$$7^2$ $=$ $64+249=113$

Thus, 113 is correct.

Hence, Option B is correct.