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Question

In a school auditorium, 15th of the students are fourth graders, 13rd are fifth graders. Of the remaining students, 14th of them are third graders, and the remaining, second graders. If the total number of students in the auditorium is 120, then what is the number of second graders in the auditorium?

A
56
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B
24
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C
42
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D
26
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Solution

The correct option is C 42
Given that 15th of the students are fourth graders, and 13rd are fifth graders in the auditorium.
Since the total number of students equals 120,
the number of fourth graders is 15×120=24, and
the number of fifth graders is 13×120=40.
The remaining number of students is 120(24+40)=56.
Now, the number of third graders is 14×56=14.
Number of second graders=5614=42

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