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, 14, 56)

(6, 15, 90)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 4)
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  1. (8, 13, 106)
  2. (9, 15, 125)
  3. (7, 17, 118) 
  4. (7, 16, 112) 

Answer (Detailed Solution Below)

Option 4 : (7, 16, 112) 
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Detailed Solution

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

Given :

  • (4, 14, 56)

4 × 14 = 56

56 = 56 (LHS = RHS)

And, 

  • (6, 15, 90)

6 × 15 = 90

90 = 90 (LHS = RHS)

So,

  • Option - (1) : (8, 13, 106)

8 × 13 = 106

104 ≠ 106 (LHS ≠ RHS)

  • Option - (2) : (9, 15, 125)

9 × 15 = 125

135 ≠ 125 (LHS ≠ RHS)

  • Option - (3) : (7, 17, 118) 

7 × 17 = 118

119 ≠ 118 (LHS ≠ RHS)

  • Option - (4): (7, 16, 112) 

7 × 16 = 112

112 = 112 (LHS = RHS) 

Hence, the correct answer is "(7, 16, 112)".

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