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Question

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

This question was previously asked in
RRB ALP 2025 CBT 2 Wiremen Question Paper (28-Jul-2026) (Shift 2)
The correct answer is
20 - 23 - 138 - 133

Number Sequence Pattern Analysis

The problem presents two sets of numbers where sequential operations link consecutive numbers. We need to find the pattern applied in these sets and identify which option follows the same pattern. The constraint is that two or three-digit numbers cannot be split into individual digits.

Given Sets Operation Analysis

Let's examine the operations in the first given set (42 - 45 - 270 - 265):

  • From 42 to 45: The operation is addition of 3.
    \(42 + 3 = 45\)
  • From 45 to 270: The operation is multiplication by 6.
    \(45 \times 6 = 270\)
  • From 270 to 265: The operation is subtraction of 5.
    \(270 - 5 = 265\)

The pattern observed is: +3, x6, -5.

Let's verify this pattern with the second given set (25 - 28 - 168 - 163):

  • From 25 to 28: Add 3.
    \(25 + 3 = 28\) (Matches)
  • From 28 to 168: Multiply by 6.
    \(28 \times 6 = 168\) (Matches)
  • From 168 to 163: Subtract 5.
    \(168 - 5 = 163\) (Matches)

Both sets follow the same sequence of operations: +3, x6, -5.

Options Pattern Verification

Now, we will check each option to see which one adheres to the identified pattern:

  1. Option 1: 33 - 34 - 204 - 193
    • 33 to 34: Addition of 1 (\(33 + 1 = 34\)). This does not match the required '+3'. Thus, this option is incorrect.
  2. Option 2: 28 - 39 - 156 - 153
    • 28 to 39: Addition of 11 (\(28 + 11 = 39\)). This does not match the required '+3'. Thus, this option is incorrect.
  3. Option 3: 20 - 23 - 138 - 133
    • 20 to 23: Addition of 3.
      \(20 + 3 = 23\) (Matches)
    • 23 to 138: Multiplication by 6.
      \(23 \times 6 = 138\) (Matches)
    • 138 to 133: Subtraction of 5.
      \(138 - 5 = 133\) (Matches)

    This option follows the pattern +3, x6, -5.

  4. Option 4: 12 - 23 - 46 - 37
    • 12 to 23: Addition of 11 (\(12 + 11 = 23\)). This does not match the required '+3'. Thus, this option is incorrect.

Correct Option Identification

Option 3 is the only sequence that perfectly follows the mathematical operations (+3, x6, -5) established by the given sets.

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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?
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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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