In a test a candidate attempted only 15 questions and secured full marks in all of them. If he obtained 60% marks in the test and all the questions in the test carried equal marks, the number of questions in the test is :
20
25
27
30
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC CAPF – 2009
The total maximum marks for the test is Q * M.
The candidate attempted 15 questions and secured full marks in all of them, so the marks obtained by the candidate are 15 * M.
The candidate obtained 60% marks in the test.
Marks obtained = 60% of Total marks
15M = 0.60 * (QM)
15M = 0.6QM
Since M is the marks per question and must be greater than 0 (as the candidate secured full marks), we can divide both sides by M:
15 = 0.6Q
Q = 15 / 0.6
Q = 15 / (6/10)
Q = 15 * (10/6)
Q = 150 / 6
Q = 25
The total number of questions in the test is 25.