There are two sections in a question paper. Each contains five questions. A…

Answer: Option D

Explanation:

Given that there are two sections of 5 questions each. And the maximum number of questions that can be answered from any section is 4.

So, 6 questions in total can be attempted from these two sections in the following ways:

i) 4 questions from section 1 and 2 questions from section 2

ii) 3 questions from section 1 and 3 questions from section 2

iii) 2 questions from section 1 and 4 questions from section 2

Now the number of ways of selecting:

i) 4 questions from section 1 and 2 questions from section 2 = 5C4 × 5C2 = 5 × 10 = 50

ii) 3 questions from section 1 and 3 questions from section 2 = 5C3 × 5C3 = 10 × 10 = 100

iii) 2 questions from section 1 and 4 questions from section 2 = 5C2 × 5C4 = 5 × 10 = 50

Thus, the total number of ways in which a student can attempt the test paper = (50 + 100 + 50) = 200 ways.