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?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)
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  1. 2 ∶ 5 ∶ 8
  2. 5 ∶ 10 ∶ 125
  3. 12 ∶ 25 ∶ 1728
  4. 3 ∶ 7 ∶ 27

Answer (Detailed Solution Below)

Option 2 : 5 ∶ 10 ∶ 125
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Logic: [(First no.) : {(First no × 2) + 1} : (First no.)3]

Checking all the given options:

1. 2 ∶ 5 ∶ 8 → [(2) : {(2 × 2) + 1} : (2)3] → [(2) : (5) : (2)3]

2. 5 ∶ 10 ∶ 125 →  [(5) : (5 × 2) : (5)3] → [(5) : (10) : (5)3]

3. 12 ∶ 25 ∶ 1728 → [(12) : {(12 × 2) + 1} : (12)3] → [(12) : (25) : (12)3]

4. 3 ∶ 7 ∶ 27 → [(3) : {(3 × 2) + 1} : (3)3] → [(3) : (7) : (3)3]

Here, in (5 : 10 : 125) different logic is followed.

Hence, the correct answer is "Option (2)".

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