Question 26

Select the option in which the numbers are related in the same way as are the numbers in the given set.
(13, 17, 442)

Solution

$$\left(13^2+17^2\right)-(13-17)^2$$ = 169 + 289 - 16 = 442

The logic here is the third number is the difference of sum of the squares of the first and second number and square of difference between first and second number.

Similarly,

$$\left(18^2+15^2\right)-(18-15)^2$$ = 324 + 225 - 9 = 540

$$\therefore\ $$(18, 15, 540) are related in the same way as (13, 17, 442) related

Hence, the correct answer is Option A


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