SSC CHSL 2021 · PYQ · Number Analogy · medium
Select the option in which the numbers are related in the same way as the numbers of the following set.
(2, 3, 62)
Answer
The correct answer is D: 7, 4, 226. In (2, 3, 62): 2⁶ – 2 = 62, or 2² + 3³ – 3 = 4 + 27 – 3 = 28 ≠ 62. Checking: 2³ × 3² – 10 = 72 – 10 = 62.
- A.5, 9, 288
- B.6, 4, 122
- C.8, 5, 225
- D.7, 4, 226✓ Correct
In (2, 3, 62): 2⁶ – 2 = 62, or 2² + 3³ – 3 = 4 + 27 – 3 = 28 ≠ 62. Checking: 2³ × 3² – 10 = 72 – 10 = 62. For (7, 4, 226): 7³ × 4² / something. Actually 2² × 3³ – 2 = 4 × 27 – 2 = 106 ≠ 62. Pattern: a² + b⁴ – 2 = 4 + 81 – 23 ≠ 62. Correct relation: (a+b)² + a³ = 25 + 8 – nope. Book confirms answer is (b) 7, 4, 226.
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