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Identify the value that replaces the question mark following the same pattern as the other pairs. 1029 : 7 :: 2187 : 9 :: 24 : ?

1. 3
2. 2
3. 6
4. 4

Correct answer: 2

Solution

Pattern: first = 3 x (second)^3. For 1029:7 — 3x7^3 = 3x343 = 1029. For 2187:9 — 3x9^3 = 3x729 = 2187. For 24:? — 3x?^3 = 24 → ?^3 = 8 → ? = 2.

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