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ExpertsGlobal5
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In a class of 100, students have the choice of enrolling for three 08 Mar 2026, 19:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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25% (medium)

Question Stats:

85% (01:54) correct 15% (02:01) wrong based on 67 sessions

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In a class of 100, students have the choice of enrolling for three recreational activities - Soccer, Hockey, or Baseball. 60 students are enrolled for exactly one of the three activities, 28 students are enrolled for exactly two, and the number of students enrolled for all the three is thrice the number of students enrolled for none of the three activities. How many students are enrolled for none of the three activities?

A. 0
B. 3
C. 6
D. 9
E. 15


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B
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In a class of 100, students have the choice of enrolling for three 08 Mar 2026, 22:00
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Overlapping sets problem but there is no overlap here.
Simply add it all up:
60+28+3(None)+None=100
None=3

Answer: Option B
ExpertsGlobal5
In a class of 100, students have the choice of enrolling for three recreational activities - Soccer, Hockey, or Baseball. 60 students are enrolled for exactly one of the three activities, 28 students are enrolled for exactly two, and the number of students enrolled for all the three is thrice the number of students enrolled for none of the three activities. How many students are enrolled for none of the three activities?

A. 0
B. 3
C. 6
D. 9
E. 15


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In a class of 100, students have the choice of enrolling for three 09 Mar 2026, 11:45
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In a class of 100, students have the choice of enrolling for three recreational activities - Soccer, Hockey, or Baseball. 60 students are enrolled for exactly one of the three activities, 28 students are enrolled for exactly two, and the number of students enrolled for all the three is thrice the number of students enrolled for none of the three activities. How many students are enrolled for none of the three activities?

A. 0
B. 3
C. 6
D. 9
E. 15


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I + II + III + none = 100

I =60

II = 28

Given that III = 3* none

60+28 + 3*none + none = 100

88 + 4* none = 100

4* none = 12

None = 3

Option B
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In a class of 100, students have the choice of enrolling for three 14 Mar 2026, 02:00
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In a class of 100, students have the choice of enrolling for three recreational activities - Soccer, Hockey, or Baseball. 60 students are enrolled for exactly one of the three activities, 28 students are enrolled for exactly two, and the number of students enrolled for all the three is thrice the number of students enrolled for none of the three activities. How many students are enrolled for none of the three activities?

A. 0
B. 3
C. 6
D. 9
E. 15
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In a class of 100, students have the choice of enrolling for three 14 Mar 2026, 04:27
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In a class of 100, students have the choice of enrolling for three recreational activities - Soccer, Hockey, or Baseball. 60 students are enrolled for exactly one of the three activities, 28 students are enrolled for exactly two, and the number of students enrolled for all the three is thrice the number of students enrolled for none of the three activities. How many students are enrolled for none of the three activities?

Translate the information:

the number of students enrolled for all the three is thrice the number of students enrolled for none of the three activities

All three: 3x

None: x

Choose the appropriate overlapping sets formula:

Since the provided information is on the numbers enrolled in exactly one, two, three, and none of the activities, we can use the following formula:

Total = Exactly 1 + Exactly 2 + Exactly 3 + None

Set up the equation and solve:

100 = 60 + 28 + 3x + x

12 = 4x

3 = x

A. 0
B. 3
C. 6
D. 9
E. 15

Correct answer: B
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