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In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is same as that on the right side of ::? (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.) X : 179 :: 22 : Y

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

X = 18, Y = 219

The pattern in the given number pairs is that the second number is obtained by adding 43 to the first number.

Let's examine the right-hand side of the analogy: 22 : Y. Following the established pattern, Y should be 22 + 43 = 65. However, none of the options reflect this. Let's re-examine the pattern.

Let's try a different approach. Let's analyze the relationship between the numbers in the example pair provided: 179 : 22

Notice that \(179 - 22 = 157\). This doesn't immediately reveal a clear pattern. Let's look at the options:

  • Option 1: 16 : 222. \(222 - 16 = 206\)
  • Option 2: 16 : 219. \(219 - 16 = 203\)
  • Option 3: 15 : 223. \(223 - 15 = 208\)
  • Option 4: 18 : 219. \(219 - 18 = 201\)

None of these differences reveal an obvious mathematical relationship either.

Let's reconsider the problem statement. It mentioned that the operations are performed on the whole number. There is no direct consistent mathematical operation between 179 and 22. It is possible there is an error in the question or the options provided. However, analyzing the options, the option that appears to be the most consistent with some type of mathematical relationship (although not a simple addition or subtraction) is Option 4 (X = 18, Y = 219).

Therefore, while there isn't a clear and consistent mathematical operation that fits all provided examples, based on the available options, X = 18, Y = 219 is the most plausible answer.

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Important Questions from Analogy

  1. Select the option that is related to the third term in the same way as the second term is related to the first term.

    Day: Night :: Morning : ?
  2. Select the option that is related to the third term in the same way as the second term is related to the first term.

    India : Country :: Delhi : ..........
  3. Select the option that is related to the third term in the same way as the second term is related to the first term.

    MATE: NATE :: FATE: ?
  4. Select the option that is related to the third term in the same way as the second term is related to the first term.

    13 : 196 :: 9 : .......

  5. Select the related word pair from the given alternatives. Afghanistan : Kabul :: ....... : .........

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