In an examination some students appeared for the examination How many students cleared the exam Stat...........

Quantitative Aptitude (SBI-CL) Data Sufficiency

In an examination some students appeared for the examination. How many students cleared the exam?

Statement I: 35% of the students failed in the exams.

Statement II: The difference between the students who cleared the exam and failed in exam is 240.

Statement III: The ratio of the boys and girls who appeared for the examination is 4 : 5.

The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.

The data in statements II and III is sufficient to answer the question, while the data in statement I is not sufficient to answer the question.

The data in statements I and II or in statement II and III is sufficient to answer the question.

The data in all the statements I, II and III is not sufficient to answer the question.

The data in all the statements I, II and III together is necessary to answer the question.

Explanation:

Let the total students = x
Statement I: Failed students = x × 35%, Passed students = x × 65%
Statement II: Difference between failed and passed students = 240
Statement III: Ratio of Boys and Girls = 4 : 5
Statement I + Statement II:
x × 65% – x × 35% = 240
x × 30% = 240
x = 800
students who cleared the exam = 800 × 65% = 520
Statement I and II together is sufficient to answer the question.
Hence, option A is correct.