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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (01:25) correct
26%
(01:16)
wrong
based on 72
sessions
History
Date
Time
Result
Not Attempted Yet
In a class of 100 students, how many students play volleyball?
(1) 60 students in the class play basketball and 24 students play volleyball but not basketball.
(2) The number of students who play both basketball and volleyball is equal to the number of students who play neither.
(1) 60 students in the class play basketball and 24 students play volleyball but not basketball.
(2) The number of students who play both basketball and volleyball is equal to the number of students who play neither.
01 Jan 2026, 10:05
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ExpertsGlobal5
Let’s consider a classic two set venn diagram, where
a = Playing Basket ball only.
c = Playing Volleyball only.
b = Playing both,
d = Neither.
Sum of individual components of a set should be equal to the total.
a+b+c+d =100.
We need to find: (b+c) = ?
Statement 1:
60 students in the class play basketball and 24 students play volleyball but not basketball.
a+b = 60, c =24.
a+b+c = 84 and this gives d =16.
we need b+c?
Hence, Insufficient.
Statement 2:
The number of students who play both basketball and volleyball is equal to the number of students who play neither.
b = d.
This makes the unknown equation to three. But still Insufficient.
Combining both statements,
b= d=16.
a+b 60 and c = 24.
we need b+ c = 16+24 = 40
Thus, Sufficient
Option C
04 Jan 2026, 19:15
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Explanation:
