In a set of 12 questions, 4 marks are awarded for every correct answer and -2 marks for every wrong answer. Smriti gave five correct and seven wrong answers. What is her score?

Options

A. 6
B. 8
C. 9
D. 12

Answer

To find Smriti's score based on her answers, we can follow these steps:

### Step 1: Identify the marks for correct and wrong answers.
- For each correct answer, Smriti receives **4 marks**.
- For each wrong answer, she loses **2 marks** (which is represented as -2).

### Step 2: Calculate the total marks for correct answers.
- Smriti answered **5 questions correctly**.
- Therefore, the marks for correct answers can be calculated as:
\[ \text{Marks for correct answers} = \text{Number of correct answers} \times \text{Marks per correct answer} = 5 \times 4 = 20 \]

### Step 3: Calculate the total marks for wrong answers.
- Smriti answered **7 questions incorrectly**.
- Therefore, the marks for wrong answers can be calculated as:
\[ \text{Marks for wrong answers} = \text{Number of wrong answers} \times \text{Marks per wrong answer} = 7 \times (-2) = -14 \]

### Step 4: Calculate the total score.
- Now, we combine the marks from correct and wrong answers:
\[ \text{Total Score} = \text{Marks for correct answers} + \text{Marks for wrong answers} = 20 + (-14) = 20 - 14 = 6 \]

### Conclusion:
Smriti's final score is **6**.

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