Question 38

Select the option in which the numbers are related in the same way as are the numbers in the given set.
(18, 400, 484)

Solution

(18, 400, 484)

Second number = $$\left(first\ number+2\right)^2$$ = $$\left(18+2\right)^2$$ = $$\left(20\right)^2$$ = 400

Third number = $$\left(first\ number+4\right)^2$$ = $$\left(18+4\right)^2$$ = $$\left(22\right)^2$$ = 484

Option (a) (20, 400, 576)

Second number = $$\left(20+2\right)^2$$ = $$\left(22\right)^2$$ = 484

Third number = $$\left(20+4\right)^2$$ = $$\left(24\right)^2$$ = 576

The above given logic is not applicable here. So this is not the correct answer.

Option (b) (14, 256, 400)

Second number = $$\left(14+2\right)^2$$ = $$\left(16\right)^2$$ = 256

Third number = $$\left(14+4\right)^2$$ = $$\left(18\right)^2$$ = 324

The above given logic is not applicable here. So this is not the correct answer.

Option (c) (22, 400, 324)

Second number = $$\left(22+2\right)^2$$ = $$\left(24\right)^2$$ = 576

Third number = $$\left(22+4\right)^2$$ = $$\left(26\right)^2$$ = 676

The above given logic is not applicable here. So this is not the correct answer.

Option (d) (24, 676, 784)

Second number = $$\left(24+2\right)^2$$ = $$\left(26\right)^2$$ = 676

Third number = $$\left(24+4\right)^2$$ = $$\left(28\right)^2$$ = 784

The above given logic is applicable here. So this is the correct answer.


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