Three of the following four triads are alike in a certain way as they are formed by performing same mathematical operations among themselves and thus form a group. Which triad does NOT belong to that group?

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 4)
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  1. 9 : 18 : 728
  2. 6 :12 : 215
  3. 2 : 4 : 7
  4. 5 : 10 : 126

Answer (Detailed Solution Below)

Option 4 : 5 : 10 : 126
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Detailed Solution

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Logic: First no. : (First no. × 2) : [(First no.)3 - 1]

Checking all the given options:

(1) 9 : 18 : 728 

⇒ (9) : (9 × 2) : [(9)3 - 1)]

⇒ (9) : (18) : [(729 - 1)]

⇒ 9 : 18 : 728

(2) 6 : 12 : 215 

⇒ (6) : (6 × 2) : [(6)3 - 1)]

⇒ (6) : (12) : [(216 - 1)]

⇒ 6 : 12 : 215

(3) 2 : 4 : 7 

⇒ (2) : (2 × 2) : [(2)3 - 1)]

⇒ (2) : (4) : [(8 - 1)]

⇒ 2 : 4 : 7

(4) 5 : 10 : 126 

⇒ (5) : (5 × 2) : [(5)3 + 1)]

⇒ (5) : (10) : [(125 1)]

⇒ 5 : 10 : 126

Here, in '5 : 10 : 126' different logic is followed.

Hence, the correct answer is "Option (4)".

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