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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 th
Question

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)
(36, 24, 65)
(40, 54, 19)

A.

(10, 21, 321)

B.

(20, 18, 16)

C.

(13, 8, 98)

D.

(30, 14, 56)

Correct option is B

In this question following logic is followed -
(1st ÷ 4)2 – (2nd ÷ 6)2 = 3rd Number
36, 24, 65 → (36÷ 4)2 – (24 ÷ 6)2 = 92 - 42 = 81 – 16 = 65
40, 54, 19 → (40÷ 4)2 – (54 ÷ 6)2 = 102 - 92 = 100 – 81 = 19
Similarly,
20, 18, 16 → (20÷ 4)2 – (18 ÷ 6)2 = 52 - 32 = 25 – 9 = 16
Therefore, the correct answer is (b).

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