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Question

If 5#3=8 and 7#2=9, then what is the value of 9#4?

This question was previously asked in
SSC Stenographer 2025 Question Paper (06-Aug-2025) Shift 2
The correct answer is
13

Understanding the Number Puzzle

The question presents a simple mathematical puzzle where a symbol '#' is used in place of a standard operator. We are given two examples of how this operator works and asked to find the result of a third expression using the same logic.

The given examples are:

  • $5#3=8$
  • $7#2=9$

We need to find the value of $9#4$.

Identifying the Pattern for '#'

Let's analyze the first example: $5#3=8$. We can see that if we add the two numbers, we get the result:

$5 + 3 = 8$

Now, let's check if this pattern holds for the second example: $7#2=9$.

$7 + 2 = 9$

The pattern is consistent. The operator '#' simply represents addition.

Applying the Pattern to Find 9#4

Now that we have identified the rule (the '#' symbol means addition), we can apply it to the expression $9#4$:

  1. Take the first number: $9$
  2. Take the second number: $4$
  3. Apply the identified operation (addition): $9 + 4$
  4. Calculate the sum: $9 + 4 = 13$

Therefore, the value of $9#4$ is 13.

Final Answer

Based on the pattern identified from the examples $5#3=8$ and $7#2=9$, the operator '#' represents addition. Applying this to $9#4$, we get $9 + 4$, which equals 13.

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  4. What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
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  5. 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?

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