Rajesh solved 80 percent of the questions in an examination correctly. Out of 41 questions solved by Rajesh 37 questions are correct and of the remaining questions out of 8 questions, 5 questions have been solved by Rajesh correctly then find the total number of questions asked in the examination?

Options

A. 75
B. 65
C. 60
D. Can't be detrmined

Answer

To find the total number of questions asked in the examination, we can follow these steps:

### Step 1: Understand the Information Given
Rajesh solved 80% of the questions correctly. He solved 41 questions in total, out of which 37 were correct. Additionally, there are 8 remaining questions, out of which he solved 5 correctly.

### Step 2: Calculate the Total Number of Questions Solved
First, we need to determine how many questions Rajesh solved in total. We know he solved 41 questions plus the 8 remaining questions.

Total questions solved = 41 + 8 = 49 questions.

### Step 3: Calculate the Total Number of Questions in the Examination
Since Rajesh solved 80% of the total questions correctly, we can set up the equation:

Let \( x \) be the total number of questions in the examination.

According to the problem, 80% of \( x \) is equal to the total number of questions solved correctly by Rajesh.

Total questions solved correctly = Correct answers from 41 questions + Correct answers from remaining questions
= 37 + 5 = 42 questions.

So, we can write the equation:
\[ 0.8x = 42 \]

### Step 4: Solve for \( x \)
To find \( x \), divide both sides of the equation by 0.8:
\[ x = \frac{42}{0.8} \]
\[ x = 52.5 \]

Since the total number of questions must be a whole number, we round \( x \) to the nearest whole number, which is 53.

### Step 5: Conclusion
The total number of questions asked in the examination is 53.

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