Select the set in which the number 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 its constituent digits.)
(4, 50, 6)
(13, 128, 3)
Answer & explanation
Correct answer: option 4
(4, 50, 6)
(13, 128, 3)
The logic followed is :
(1st no. + 3rd no.) × (1st no. + 3rd no.)/2 = 2nd no.
4, 50, 6 ⇒ (4 + 6) × (4 + 6)/2 = 10 × 5 = 50
13, 128, 3 ⇒ (13 + 3) × (13 + 3)/2 = 16 × 8 = 128
Similarly,
Checking from the option, we found the answer from option (4)
15, 162, 3 ⇒ (15 + 3) × (15 + 3)/2 = 18 × 9 = 162