In an exam, a student A attempted 30\% of his total attempted questions in History and scored 66 marks in that subject. For each correct answer, 2 marks are awarded, and for each incorrect answer, 1 mark is deducted. If the total number of questions attempted by A is 200, how many incorrect questions did A attempt in History?

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**Solution:**

1. Total questions attempted by A = 200

2. Number of questions attempted by A in History = 30\% of 200 = 60

3. Let the number of incorrect questions be *a* and correct questions be *b*.

- Total questions in History: $a + b = 60$  ...(i)

4. Scoring scheme:

- Each correct answer: +2 marks
   - Each incorrect answer: -1 mark

Total marks from History:

$$2b - a = 66 \quad ...(ii)$$

5. From equation (i), express $a = 60 - b$.

6. Substitute into equation (ii):

$$2b - (60 - b) = 66$$

$$2b - 60 + b = 66$$

$$3b = 126$$

$$b = 42$$

7. Find $a$:

$$a = 60 - 42 = 18$$

**Answer:** 18

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