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: 24 Jul 2023 Shift 3)
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  1. 11 : 21 : 121 
  2. 2 : 3 : 4
  3. 7 : 15 : 49
  4. 9 : 17 : 81

Answer (Detailed Solution Below)

Option 3 : 7 : 15 : 49
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Detailed Solution

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

Checking all the given options:

(1) 11 : 21 : 121 → [(11) : {(11 × 2) - 1} : (11)2]

(2) 2 : 3 : 4 → [(2) : {(2 × 2) - 1} : (2)2]

(3) 7 : 15 : 49 → [(7) : {(7 × 2) + 1} : (7)2]

(4) 9 : 17 : 81 → [(9) : {(9 × 2) - 1} : (9)2]

Here, in (7 : 15 : 49) different logic is followed.

Hence, the correct answer is "7 : 15 : 49".

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