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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).
2 - 5
10 - 101

This question was previously asked in
RRB ALP 2025 CBT 2 Mechanic Motor Vehicle Question Paper (28-Jul-2026) (Shift 1)
The correct answer is
5 - 26

To solve this logical reasoning problem, we begin by identifying the pattern in the number-pairs given and then apply this pattern to identify the correct option.

Let's analyze the given number-pairs:

  • 2 - 5: To transform 2 into 5, we notice that \(2^2 + 1 = 4 + 1 = 5\).
  • 10 - 101: To transform 10 into 101, we identify that \(10^2 + 1 = 100 + 1 = 101\).

The operation observed is: square the first number and add 1 to it.

Now, let's apply this operation to each option:

  1. 5 - 26\(5^2 + 1 = 25 + 1 = 26\). This matches the pattern.
  2. 4 - 18\(4^2 + 1 = 16 + 1 = 17\). This does not match the second number in the pair.
  3. 9 - 80\(9^2 + 1 = 81 + 1 = 82\). This does not match the second number in the pair.
  4. 8 - 63\(8^2 + 1 = 64 + 1 = 65\). This does not match the second number in the pair.

Based on the calculation, the correct option is 5 - 26 as it follows the identified pattern of squaring the number and adding 1.

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Important Questions from Analogy

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