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.)
(9, 69, 17)
(13, 47, 7)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. (19, 50, 4).
The logic followed in the given set is:
Logic: (First no. + Third no.) × 2 + Third no. = Second no.
(9, 69, 17) →
⇒ (9 + 17) × 2 + 17
⇒ 26 × 2 + 17 = 52 + 17 = 69
(13, 47, 7) →
⇒ (13 + 7) × 2 + 7
⇒ 20 × 2 + 7 = 40 + 7 = 47
Now, Checking all the given options:
Option (1) (13, 57, 19) →
⇒ (13 + 19) × 2 + 19
⇒ 32 × 2 + 19 = 83 ≠ 57
Option (2) (10, 36, 8) →
⇒ (10 + 8) × 2 + 8
⇒18 × 2 + 8 = 44 ≠ 36
Option (3) (22, 49, 9) →
⇒ (22 + 9) × 2 + 9
⇒ 31 × 2 + 9= 71 ≠ 49
Option (4) (19, 50, 4) →
⇒ (19 + 4) × 2 + 4
⇒ 23 × 2 + 4= 50
Thus, (19, 50, 4) follows the same logic as in given sets.
Hence, (19, 50, 4) is the correct answer.