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

(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.)

(6, 16, 8)

(5, 15, 9)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
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  1. (4, 12, 11)
  2. (3, 11, 11)
  3. (3, 19, 11)
  4. (4, 32, 8)

Answer (Detailed Solution Below)

Option 2 : (3, 11, 11)
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Detailed Solution

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Logic : [(2nd number × 3) ÷ 1st number]3rd number

Given : 

  • (6, 16, 8)

(16 × 3) ÷ 6 = 8 

48 ÷ 6 = 8

8 = 8 (LHS = RHS)

  • (5, 15, 9)

(15 × 3) ÷ 5 = 9

45 ÷ 5 = 9

9 = 9 (LHS = RHS)

So,

  • Option - (1) : (4, 12, 11)

(12 × 3) ÷ 4 = 11

36 ÷ 4 = 11

9 ≠ 11 (LHS ≠ RHS)

  • Option - (2) : (3, 11, 11)

(11 × 3) ÷ 3 = 11

33 ÷ 3 = 11

11 = 11 (LHS = RHS) 

  • Option - (3) : (3, 19, 11)

(19 × 3) ÷ 3 = 11

57 ÷ 3 = 11

19 ≠ 19 (LHS ≠ RHS)

  • Option - (4) : (4, 32, 8)

(32 × 3) ÷ 4 = 8

96 ÷ 4 = 8

24 ≠ 8 (LHS ≠ RHS) 

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

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