15 is related to 60 following a certain logic. Following the same logic, 27 is…
2025
15 is related to 60 following a certain logic. Following the same logic, 27 is related to 108. To which of the following is 44 related, following the same logic? (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 /deleting /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.)
- A.
174
- B.
172
- C.
178
- D.
176
Attempted by 5 students.
Show answer & explanation
Correct answer: D
Concept:
In a number-based analogy of the form ‘X is related to Y’, the two numbers in every stated pair are connected by one single, consistent mathematical operation performed on the whole number (not on its individual digits). Identify that operation from the pair(s) given, confirm it holds across all of them, then apply the exact same operation to the new number to find its match.
Applying the rule:
60 ÷ 15 = 4, so 60 is obtained by multiplying 15 by 4.
108 ÷ 27 = 4, so 108 is obtained by multiplying 27 by the same factor, 4 — confirming the operation is consistently × 4 across both given pairs.
Applying the same operation to 44: 44 × 4 = 176.
Cross-check:
Reversing the operation confirms it: 176 ÷ 44 = 4, matching the factor verified from both given pairs. Checking the remaining values against the same rule rules them out:
174 ÷ 4 = 43.5 — not a whole-number match to 44.
178 ÷ 4 = 44.5 — not a whole-number match to 44.
172 ÷ 4 = 43 — the factor applied to 43, not to 44.