Select the option in which the numbers are related in the same way as are the numbers of the following set, (24, 10, 392):

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OPSC ASO (Maths & Reasoning) 27 Aug 2022 Official Paper
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  1. (29, 18,242)
  2. (27, 15,480)
  3. (26, 12,369)
  4. (21, 18, 234)

Answer (Detailed Solution Below)

Option 1 : (29, 18,242)
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Detailed Solution

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The logic followed here is: (1st number - 2nd number)2 × 2 = 3rd number

Given: 

(24, 10, 392)

(24 - 10)2 × 2 = 14² × 2 = 196 × 2 = 392

So, checking each option one by one:

Option 1): (29, 18, 242)

(29 - 18)2 × 2 =112 × 2 = 121 × 2 = 242

Option 2) (27, 15, 480)

(27 - 15)2 × 2 = 122 × 2 = 144 × 2 = 288 ≠ 480

Option 3) (26, 12, 369)

(26 - 12)2 × 2 = 142 × 2 = 196 × 2 = 392 ≠ 369

Option 4) (21, 18, 234)

(21 - 18)2 × 2 = 32 × 2 = 9 × 2 = 18 ≠ 234

Hence, the correct answer is "Option 1".

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