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Question

In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. 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.)

112 - 100
34 - 22

This question was previously asked in
RRB ALP 2025 CBT 2 Wiremen Question Paper (28-Jul-2026) (Shift 2)
The correct answer is
15 - 3

Number Pair Relationship Analysis

The question asks to identify the relationship between number pairs based on mathematical operations applied to the whole number, not its digits.

Pattern Identification

Let's analyze the given example number pairs:

  • Pair 1: 112 - 100
  • Pair 2: 34 - 22

Calculate the difference between the numbers in each pair:

  • For 112 and 100: \(112 - 100 = 12\)
  • For 34 and 22: \(34 - 22 = 12\)

The consistent mathematical operation observed is subtraction, where the second number is obtained by subtracting 12 from the first number. The pattern is: First Number \( - 12 =\) Second Number.

Applying the Pattern to Options

We need to find the option that follows the same pattern (difference of 12):

  • Option 1: 55 - 42. The difference is \(55 - 42 = 13\). This does not match.
  • Option 2: 15 - 3. The difference is \(15 - 3 = 12\). This matches the pattern.
  • Option 3: 23 - 12. The difference is \(23 - 12 = 11\). This does not match.
  • Option 4: 43 - 23. The difference is \(43 - 23 = 20\). This does not match.

The set of numbers in Option B (15 - 3) exhibits the same relationship as the given examples, where the second number is obtained by subtracting 12 from the first.

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Important Questions from Analogy

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