Question

Rohit took a test that had 60 questions numbered from 1 to 60. How many questions did he answer correctly in the second half of the test ?
Statements:
I. The number of questions he answered correctly in the second half of test was 7 less than the number he answered correctly in the first half of the test.
II. He answered 5/6 of the odd numbered questions correctly and 4/5 of the even numbered correctly.

• A. Statement I alone is sufficient to answer the problem.
• B. Statement II alone is sufficient to answer the problem.
• C. Statement I and II both are needed.
• D. Statement I and II both are not sufficient.

Answer 1

The correct option is C Statement I and II both are needed.

It is given that Rohit took a test that had 60 questions numbered from 1 to 60
Statement 1 is The number of questions he answered correctly in the second half of test was 7 less than the number of the test,in the condition it is clear that in the second half of test he answered 7 less than the total number of questions but from this condition and given information we are not aware of the total number of questions he answered correctly
Statement 2 He answered 5/6 of the odd numbered questions correctly and 4/5 of the even numbered correctly,from this condition we can get the total number of questions he answered correctly
$\therefore$ both the statements are needed to find the number of questions did he answered correctly in the second half of the test
Hence option C is correct