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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

To solve this analogy question, we need to identify the relationship between the numbers in the given pair and then find the option in which the numbers share a similar relationship.

Given pair: 12:168

Let's determine the relationship:

  • Multiplying 12 by 14 gives: \(12 \times 14 = 168\).
  • This means that the second number (168) is derived by multiplying the first number (12) by 14.

Let's verify this relationship with the other pair:

  • For 11:143, we check if 11 multiplied by any number gives 143.
  • 11 multiplied by 13 gives: \(11 \times 13 = 143\).
  • This establishes a pattern that each number is multiplied by a certain factor.

Now, let's analyze the options:

  1. 14:172
    • Check: \(14 \times 12.2857 \ldots = 172\) (not an integer factor)
  2. 5:61
    • Check: \(5 \times 12.2 = 61\) (not an integer factor)
  3. 16:232
    • Check: \(16 \times 14.5 = 232\) (not an integer factor)
  4. 8:88
    • Check: \(8 \times 11 = 88\) (integer factor)

The only option that fits the pattern of having an integer multiplication factor is 8:88, where the relationship is that 8 is multiplied by 11 to get 88.

Thus, the correct option is 8:88.

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