Select the set in which the numbers are related in the same way as are the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their 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.)
(12, 4, 64)
(8, 6,14)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. (9, 5, 28).
Logic used : {(First number )2 - (Second Number)2} ÷ 2 = Third Number
⇒(12, 4, 64)
{(12)2 - (4)2} ÷ 2 = (144 - 16) ÷ 2 = 128 ÷ 2 = 64
⇒(8, 6,14)
{(8)2 - (6)2} ÷ 2 = (64 - 36 )÷ 2 = 28 ÷ 2 = 14
Similarly, Option 4 Follows a similar pattern
⇒(9, 5, 28)
{(9)2 - (5)2} ÷ 2 = (81 - 25) ÷ 2 = 56 ÷ 2 = 28
Hence, the correct answer is (9, 5, 28).