Select the set in which the numbers are related in the same way as are the numbers of the given sets.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed)

(4, 1024, 64)

(225, 81, 135)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 4)
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  1. (30, 676, 78)
  2. (27, 125, 15)
  3. (49, 841, 203)
  4. (64, 256, 512)

Answer (Detailed Solution Below)

Option 3 : (49, 841, 203)
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Detailed Solution

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Given:

(4, 1024, 64)

(225, 81, 135)

Logic: [ (a)2, (b)2, (a × b)]

(4, 1024, 64) →

⇒ [(2)2, (32)2, (32 × 2)]

⇒ [(4), (1024), (64)]

(225, 81, 135) →

⇒ [(15)2, (9)2, (15 × 9)]

⇒ [(225), (81), (135)]

Checking all the given options:

1. (30, 676, 78)

⇒ [(5 × 6), (26)2, (26 × 3)]

2. (27, 125, 15)

⇒ [(3)3, (5)3, (3 × 5)]

⇒ [ (27), (125), (15)]

3. (49, 841, 203)

⇒ [(7)2, (29)2, (7 × 29)]

⇒ [(49), (841), (203)]

4. (64, 256, 512)

⇒ [(8)2, (16)2, (8 × 16)]

⇒ [(64), (256), (128)]

Here, (49, 841, 203) shows a similar relation to the given set of numbers.

Hence, the correct answer is "Option (3)".

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