Select the set in which the numbers are related in the same way as are the numbers of the following 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, 9, 16)
(25, 36, 49)

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 4)
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  1. (49, 64, 81)
  2. (1, 16, 49)
  3. (36, 81, 49)
  4. (49, 36, 81)

Answer (Detailed Solution Below)

Option 1 : (49, 64, 81)
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Detailed Solution

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The logic followed here is: 

Numbers in a set are squares of three consecutive numbers. 

F1 Rajat Singh SSC 15-03-2023 Chitranshi D17

F1 Rajat Singh SSC 15-03-2023 Chitranshi D18

Similarly, apply the logic on each option,

Option 1 : (49, 64, 81)

F1 Rajat Singh SSC 15-03-2023 Chitranshi D19

The set is a square of three consecutive numbers.

Option 2 : (1, 16, 49)

F1 Rajat Singh SSC 15-03-2023 Chitranshi D20

The set is not a square of three consecutive numbers.

Option 3 : (36, 81, 49)

F1 Rajat Singh SSC 15-03-2023 Chitranshi D21

The set is not a square of three consecutive numbers.

Option 4 : (49, 36, 81)

F1 Rajat Singh SSC 15-03-2023 Chitranshi D22

The set is not a square of three consecutive numbers.

Hence, 'Option 1' is the correct answer.

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