The second number in the given number-pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number-pairs, except one. Find that odd number-pair.

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 3)
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  1. 24 : 169
  2. 12 : 49
  3. 48 : 625
  4. 36 : 365

Answer (Detailed Solution Below)

Option 4 : 36 : 365
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Detailed Solution

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The logic followed here is :-

Logic: ((First number ÷ 2) + 1)2 = Second number

1) 24 : 169 → ((24 ÷ 2) + 1)2 = (12 + 1)2 = 132 = 169

2) 12 : 49 → ((12 ÷ 2) + 1)2 = (6 + 1)2 = 72 = 49

3) 48 : 625 → ((48 ÷ 2) + 1)2 = (24 + 1)2 = 252 = 625

4) 36 : 365 → ((36 ÷ 2) + 1)2 = (18 + 1)2 = 192 = 361

∴ Here, '36 : 365' is different from other three alternatives.

Hence, the correct answer is "36 : 365".

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