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Question

In each of the following questions, two numbers are given which follow a certain logical or arithmetic relationship. Identify the same pattern and apply it to find the missing number in the second pair. Choose the correct option from the given alternatives.
\(58214 : 70436 :: 73928 : ?\)

This question was previously asked in
SSC Stenographer 2025 Question Paper (06-Aug-2025) Shift 2
The correct answer is
95140

The question presents a number series problem involving an analogy. We need to identify the relationship between the first pair of numbers (\(58214\) and \(70436\)) and apply the same relationship to find the missing number in the second pair (\(73928 : ?\)).

Identifying the Pattern

Let's examine the relationship between the digits of the first number (\(58214\)) and the second number (\(70436\)).

  • Compare the first digit: \(5\) and \(7\). The difference is \(7 - 5 = 2\).
  • Compare the second digit: \(8\) and \(0\). The difference could be interpreted as adding \(2\) (\(8+2=10\), the last digit is \(0\)).
  • Compare the third digit: \(2\) and \(4\). The difference is \(4 - 2 = 2\).
  • Compare the fourth digit: \(1\) and \(3\). The difference is \(3 - 1 = 2\).
  • Compare the fifth digit: \(4\) and \(6\). The difference is \(6 - 4 = 2\).

The pattern appears to be adding \(2\) to each digit of the first number to get the corresponding digit of the second number. When the sum of a digit plus \(2\) is greater than \(9\), we take only the unit digit of the sum.

Let's verify this pattern:

  • \(5 + 2 = 7\)
  • \(8 + 2 = 10\). The unit digit is \(0\).
  • \(2 + 2 = 4\)
  • \(1 + 2 = 3\)
  • \(4 + 2 = 6\)

Combining these results gives \(70436\), which matches the second number in the first pair.

Applying the Pattern to Find the Missing Number

Now, we apply the same digit-wise addition of \(2\) to the second pair, starting with the number \(73928\).

  • First digit: \(7 + 2 = 9\)
  • Second digit: \(3 + 2 = 5\)
  • Third digit: \(9 + 2 = 11\). The unit digit is \(1\).
  • Fourth digit: \(2 + 2 = 4\)
  • Fifth digit: \(8 + 2 = 10\). The unit digit is \(0\).

Combining these resulting digits, we get \(95140\).

Conclusion

Based on the identified pattern of adding \(2\) to each digit (taking the unit digit for sums greater than \(9\)), the missing number in the sequence \(73928 : ?\) is \(95140\). This corresponds to option 3.

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Similar Questions

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