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Question

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.)

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

1333

To solve this problem, we need to decipher the given sequence relationship and apply the same logic. The initial comparison is between numbers 12 and 1730. Let's analyze this pattern to find a consistent rule.

  1. Observe that the number 12 is related to 1730. We need to check any mathematical operations or sequence formation that leads from 12 to 1730.
  2. Consider performing an operation involving elevating the base number to a power and then performing arithmetic manipulation.
  3. Calculate \(12^3 = 12 \times 12 \times 12 = 1728\).
  4. By adding 2 to 1728, we get 1730, which matches the given relation: \(12^3 + 2 = 1730\).

Now, using this pattern, check if it applies to the number 13 and its related number 2199:

  1. Calculate \(13^3 = 13 \times 13 \times 13 = 2197\).
  2. Add 2 to 2197: \(2197 + 2 = 2199\).
  3. This confirms the pattern holds for 13 as well: \(13^3 + 2 = 2199\).

With the pattern confirmed, apply the same logic for the number 11:

  1. Calculate \(11^3 = 11 \times 11 \times 11 = 1331\).
  2. Add 2 to 1331: \(1331 + 2 = 1333\).

Thus, 11 is related to 1333 following the same pattern. Let's verify our answer by ruling out the other options:

  • 1443 does not follow the pattern as \(1333 \neq 1443\).
  • 1543 does not follow the pattern as \(1333 \neq 1543\).
  • 1433 does not follow the pattern as \(1333 \neq 1433\).

Therefore, the correct answer is 1333.

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Similar Questions

  1. Select the set that does NOT belong in the following group of sets.

    (2, 14, 16), (6, 30, 36), (5, 35, 40), (3, 21, 24)
  2. Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number results in the second number. Similarly, certain mathematical operation(s) on the second number results 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/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 68 – 136 – 121 – 363; 29 – 58 – 43 – 129
  3. If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 2741586, how many digits will appear more than once in the new number thus formed?
  4. Select the number that does NOT belong in the following group.

    71, 73, 77, 79

  5. (2, 14, 16), (3, 21, 24), (8, 56, 64), (5, 35, 41)
    The set that does NOT belong to the group is:

  6. Select the pair that does NOT belong in the following group.

    (√64,9), (√81,10), (√36,8), (√121,12)

  7. Select the number pair that does NOT belong in the following group.

    (1, 1), (4, 64), (8, 512), (9, 719)

  8. 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 - 36 - 72 - 144 ; 7 - 49 - 98 - 196

  9. Two sets of numbers are given below. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operation on the second number results in the third number and so on. Which of the given options follows the same set of operations as in the given sets?

    (NOTE - A two/three digit number cannot be broken into individual digits for operations e.g. if 37 is followed by 10, the operation cannot be 3+7 as a two digit number cannot be broken into individual digits)

    42 - 45 - 270 - 265
    25 - 28 - 168 - 163
  10. 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


Important Questions from Number Based

  1. In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

  2. Select the set in which the numbers are related in the same way as are the number of the following set.

    (3, 7, 58)

  3. Find the odd number/letters from the given alternatives.

  4. Find the odd number/letters from the given alternatives.

  5. Identify the number which is different from the other.

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