A student attempted 24 questions and scored full marks on each. If this equals 40% of the total test marks (all questions carry equal marks), how many questions were in the test?

Introduction / Context: With equal-mark questions, the number correct is proportional to total marks. If a perfect score on 24 questions equals 40% of overall marks, the total question count scales accordingly.

Given Data / Assumptions:

• All questions carry equal marks.
• Marks from 24 correct = 40% of total marks.
• No negative marking or partial credit is implied.

Concept / Approach: Let the total number of questions be N and each question be worth 1 unit for convenience. Then the student’s 24 marks equal 0.40 * N. Solve for N directly.

Step-by-Step Solution:

Verification / Alternative check: 40% of 60 is 24, which matches the given score, confirming consistency.

Why Other Options Are Wrong: 30, 40, 54, 70 would correspond to different percentage relationships; none make 24 equal exactly 40% of total.

Common Pitfalls: Confusing ”40% marks obtained” with ”40% questions attempted.” Here, full marks on each attempted question means a direct proportion.

Final Answer: 60