Question

What is the total mark in the examination?
Statements:
I. A student secures 36% but fails by 6 marks.
II. The pass mark is 60.

• A. Statement I alone is sufficient to determine the answer
• B. Statement II alone is sufficient, but statement I alone is not sufficient
• C. Both the statements I and II are needed
• D. Data in both the statements together are not sufficient

Hint:

In data sufficiency, test each statement separately before combining.

Answer 1

The Correct Option is C

Concept: Data sufficiency problem involving percentages.

Explanation: From Statement I: 36% of marks are 6 less than passing marks. But total marks are unknown → insufficient. From Statement II: Pass mark = 60. But we don’t know the percentage or total marks → insufficient. Using both statements: 36% of total = pass marks − 6 \[ 0.36T = 60 - 6 = 54 \] \[ T = \frac{54}{0.36} = 150 \] Thus, both statements are required.