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)

(10, 5, 52)

(35, 7, 250)

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, 4, 34)
  2. (14, 8, 90)
  3. (8, 9, 10)
  4. (20, 5, 300)

Answer (Detailed Solution Below)

Option 1 : (8, 4, 34)
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Detailed Solution

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

Given :

  • (10, 5, 52)

10 × 5 = 52 - (10 ÷ 5)

50 = 52 - 2

50 = 50 (LHS = RHS)

And, 

  • (35, 7, 250)

35 × 7 = 250 - (35 ÷ 7)

245 = 250 - 5

245 = 245 (LHS = RHS)

So,

  • Option - (1) : (8, 4, 34)

8 × 4 = 34 - (8 ÷ 4)

32 = 34 - 2

32 = 32 (LHS = RHS)

  • Option - (2) : (14, 8, 90)

14 × 8 = 90 - (14 ÷ 8)

112 = 90 - 1.75

112 ≠ 88.25 (LHS ≠ RHS)

  • Option - (3) : (8, 9, 10)

8 × 5 = 10 - (8 ÷ 9)

40 = 10 - 0.88

40 ≠ 9.12 (LHS ≠ RHS)

  • Option - (4) : (20, 5, 300)

20 × 5 = 300 - (20 ÷ 5)

100 = 300 - 4

100 ≠ 75 (LHS ≠ RHS)

Hence, the correct answer is "(8, 4, 34)".

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