17 is related to 159 following a certain logic. Following the same logic, 11 is related to 105. To which of the following is 13 related, following the same logic?

(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.)

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SSC CGL 2024 Tier-II Official Paper-I (Held On: 20 Jan, 2025)
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  1. 116
  2. 103
  3. 123
  4. 109

Answer (Detailed Solution Below)

Option 3 : 123
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Detailed Solution

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The logic followed here is:

Logic: 1st number × 9 + 6 = 2nd number.

17 is related to 159

→ 17 × 9 + 6

→ 153 + 6

→ 159. ( 2nd number)

And

11 is related to 105

→ 11 × 9 + 6

→ 99 + 6

→ 105. ( 2nd number)

Similarly,

13 is related to 

→ 13 × 9 + 6

→ 117 + 6

→ 123. 

Hence, the correct answer is "Option 3".

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