Select the related word/letters/number from the given alternatives. 24 : 60 :…
2024
Select the related word/letters/number from the given alternatives.
24 : 60 : : 210 : ?
- A.
348
- B.
336
- C.
340
- D.
326
Show answer & explanation
Correct answer: B
Concept: Each pair in this analogy follows the rule n3 − n, which equals the product of three consecutive integers centered on n, i.e., (n − 1) × n × (n + 1). The relation linking the two numbers in a pair is: apply the same formula to the very next integer.
Application:
24 equals 33 − 3 = 27 − 3, since 2 × 3 × 4 = 24.
60 equals 43 − 4 = 64 − 4, confirming the pair relation moves from n = 3 to the next integer, n = 4.
210 equals 63 − 6 = 216 − 6, since 5 × 6 × 7 = 210.
Applying the same relation, the next integer after 6 is 7, so the missing term equals 73 − 7 = 343 − 7 = 336.
Cross-check: 336 also equals the product of the three consecutive integers 6 × 7 × 8, confirming the result independently.