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

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their 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.)

(12, 8, 80)

(16, 10, 131)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 3)
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  1. (11, 5, 55)
  2. (13, 4, 160)
  3. (14, 12, 126)
  4. (9, 6, 54)

Answer (Detailed Solution Below)

Option 4 : (9, 6, 54)
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Detailed Solution

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The logic followed here is:

Logic: (First number)2 - (Second number ÷ 2)3 = Third number

  • (12, 8, 80) → 122 - (8 ÷ 2)3 = 144 - 43 = 144 - 64 = 80
  • (16, 10, 131) → 162 - (10 ÷ 2)3 = 256 - 53 = 256 - 125 = 131

Similarly,

  • (9, 6, 54) → 92 - (6 ÷ 2)3 = 81 - 33 = 81 - 27 = 54

Hence, '(9, 6, 54)' is the correct answer.

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