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)

(63, 81, 7)

(84, 49, 12)

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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  1. (99, 121, 9)
  2. (76, 234, 12)
  3. (12, 125, 56)
  4. (78, 14, 56)

Answer (Detailed Solution Below)

Option 1 : (99, 121, 9)
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Detailed Solution

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Logic :  (1st number ÷ 3rd number)2 = 2nd number 

Given :

  • (63, 81, 7)

 = 81

 = 81

81 = 81 (LHS = RHS)

  • (84, 49, 12)

 = 49

 = 49

49 = 49 (LHS = RHS)

​So,

  • Option - (1) : (99, 121, 9)

 = 121

 = 121

121 = 121 (LHS = RHS)

  • Option - (2) : (76, 234, 12)

 = 234

 = 234

40 ≠ 234 (LHS ≠ RHS)

  • Option - (3) : (12, 125, 56)

 = 125

 = 125

0.0441 ≠ 125 (LHS ≠ RHS)

  • Option - (4) : (78, 14, 56)

 = 14

 = 14

1.93 ≠ 14 (LHS ≠ RHS)

Hence, "Option - (1)" is the correct answer.

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