192 is related to 38 following a certain logic. Following the same logic, 270 is related to 51. To which of the following is 258 related, following the same logic?
(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.)
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 49.
192 is related to 38 → (38 × 2 - 12) × 3 = (76 - 12) × 3 = 64 × 3 = 192
270 is related to 51 → (51 × 2 - 12) × 3 = (102 - 12) × 3 = 90 × 3 = 270
Similarly, 258 is related → (49 × 2 - 12) × 3 = (98 - 12) × 3 = 86 × 3 = 258