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In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set in which
Question

In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13-Operations on 13 such as adding / subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
8, 128
9, 162

A.

11, 124

B.

14, 392

C.

12, 149

D.

13, 170

Correct option is B

Observing the given number pairs:
8 → 128
(16 is 2 times 8)
9 → 162
(18 is 2 times 9)
So, the pattern followed is:
Logic = First number×(First number×2)=Second number
Now, checking the options:
(A) 11, 124
11×(11×2)=11×22=242(Not 124, so incorrect)
(B) 14, 392
14×(14×2)=14×28=392(Matches, so correct)
(C) 12, 149
12×(12×2)=12×24=288(Not 149, so incorrect)
(D) 13, 170
13×(13×2)=13×26=338(Not 170, so incorrect)
Thus, the correct answer is (B) 14, 392.

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