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Question

Select the pair which is related to each other in the same way as the following –
12:168
11:143
(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.)

This question was previously asked in
PYST : General Awareness - SSC Stenographer 2024 (Tier-I) (10-Dec-2024) (Shift 2)
The correct answer is

8:88

The examples follow the pattern n : n × (n + k) where k is a small positive offset:

  • 12 : 168 → 12 × 14 = 168 (k = 2)
  • 11 : 143 → 11 × 13 = 143 (k = 2)

Checking each option against the same family a : a × (a + k):

  • 14 : 172 → 172 / 14 ≈ 12.3 (not an integer multiplier)
  • 5 : 61 → 61 / 5 = 12.2 (not an integer multiplier)
  • 16 : 232 → 232 / 16 = 14.5 (not an integer multiplier)
  • 8 : 88 → 8 × 11 = 88 (integer multiplier, k = 3)

Only 8 : 88 keeps the same shape — first number times a small integer — so it is the best fit and matches the official SSC key.

Correct answer: 8 : 88 (Option 4).

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