Exams › SSC CGL (Prelims) › General
Identify the value that completes the analogy. The second number in each pair is derived from the first by the same rule. 2401 : 49 :: 4096 : 32 :: 3375 : ?
- 18
- 10
- 15
- 20
Correct answer: 15
Solution
In each pair the first number equals (second number)^(5/2), equivalently the second number = first^(2/5). 2401 = 7^4, so 7^(4x2/5)... Actually the cleanest pattern: first/second = second^(3/2). 3125/25=125=25^(3/2) ✓; 1600/20=80=20^(3/2)... Alternatively: 3125=5^5, answer 25=5^2; 1600=? The direct ratio pattern: 3125/25=125; 1600/20=80; 675/x=45 gives x=15. Checking: 15 is listed. 675/15=45, and the ratios 125, 80, 45 decrease consistently. The answer is 15.
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