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Bunuel
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In a certain class, 1/4 of the students play football, and 1/5 of the 25 Jun 2023, 03:13
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83% (02:05) correct 17% (02:12) wrong based on 119 sessions

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In a certain class, 1/4 of the students play football, and 1/5 of the students play chess. If 8 students play both football and chess, what is the smallest possible number of students in the class?

A. 20
B. 40
C. 60
D. 80
E. 100

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In a certain class, 1/4 of the students play football, and 1/5 of the 25 Jun 2023, 03:50
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Bunuel
In a certain class, 1/4 of the students play football, and 1/5 of the students play chess. If 8 students play both football and chess, what is the smallest possible number of students in the class?

A. 20
B. 40
C. 60
D. 80
E. 100

We can use a 2*2 matrix to solve this question.

The value of x must be at least equal to 40 as we \(\frac{x}{5}\) must at least be equal to 8.

Hence minimum number of students = \(\frac{x}{5}\) = 8

x = 40

Option B
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In a certain class, 1/4 of the students play football, and 1/5 of the 25 Jun 2023, 08:18
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Let the total number of students be x


1/4 of x should be and integer
1/5 of x should be and integer

Also, 1/4 of x >or= to 8
And 1/5 of x >or= to 8

The smallest possible of x that satisfy all these conditions is 40

Ans Option B

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In a certain class, 1/4 of the students play football, and 1/5 of the 25 Jun 2023, 08:51
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target is to find smallest possible number of students in class
use answer options
at 20 we get football as 5 and both as 8 which is wrong
at 40 football is 10 , both is 8 and chess is 8 which makes the grid sufficient
option B 40


Bunuel
In a certain class, 1/4 of the students play football, and 1/5 of the students play chess. If 8 students play both football and chess, what is the smallest possible number of students in the class?

A. 20
B. 40
C. 60
D. 80
E. 100
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In a certain class, 1/4 of the students play football, and 1/5 of the 21 Jun 2025, 07:05
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