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 : ?

  1. A.

    348

  2. B.

    336

  3. C.

    340

  4. 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:

  1. 24 equals 33 − 3 = 27 − 3, since 2 × 3 × 4 = 24.

  2. 60 equals 43 − 4 = 64 − 4, confirming the pair relation moves from n = 3 to the next integer, n = 4.

  3. 210 equals 63 − 6 = 216 − 6, since 5 × 6 × 7 = 210.

  4. 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.

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