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Question

16 is related to 260 following a certain logic. Following the same logic, 25 is related to 630. To which of the following is 9 related, following the same logic?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 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
RRB NTPC 2025 Graduate Level CBT 1 Question Paper (25-Mar-2026) (Shift 3)
The correct answer is

84

To find out the relationship and solve the question, we need to establish a pattern or a consistent operation that applies to the given pairs of numbers.

The given pairs of numbers are:

  • 16 is related to 260
  • 25 is related to 630

We need to determine the operations performed to relate these numbers.

  • Step 1: Let's consider the first pair: 16 and 260.
  • Step 2: Calculate: \(16 \times 16 + 4 = 256 + 4 = 260\)
  • Step 3: Now consider the second pair: 25 and 630.
  • Step 4: Calculate: \(25 \times 25 + 5 = 625 + 5 = 630\)

We observe that the transformation involves squaring the first number and adding the original number itself to the square.

Now, apply this logic to the number 9.

  • Step 5: Calculate: \(9 \times 9 + 3 = 81 + 3 = 84\)

Thus, according to the same logic, 9 is related to 84.

Conclusion:

  • Using this logic consistently, we confirm that the answer is 84.
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Similar Questions

  1. Below are given two sets of numbers. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?

    (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

    10 - 100 - 50 - 25; 2 - 4 - 2 - 1

  2. 12 is related to 1730 following a certain logic. Following the same logic, 13 is related to

    2199. To which of the given options is 11 related, following the same logic?

    (NOTE: Operations should be performed on the whole numbers, without breaking down

    the numbers into their 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.)

  3. Two sets of numbers are given below. In each set of numbers, certain mathematical

    operation(s) on the first number result(s) in the second number. Similarly, certain

    mathematical operation(s) on the second number result(s) in the third number and so

    on. Which of the given options follows the same set of operations as in the given sets?

    (NOTE: Operations should be performed on the whole numbers, without breaking down

    the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding

    to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and

    3 and then performing mathematical operations on 1 and 3 is not allowed.)

    6 – 16 – 23 – 32; 7 – 19 – 26 – 35


Important Questions from Number Based

  1. Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different. (Any operation on digits is not allowed)

  2. Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.

  3. Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.

  4. Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.

  5. Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.

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