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Out of 100 kids, 50 are members of Team X and 75 are members of Team Y

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Bunuel
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Out of 100 kids, 50 are members of Team X and 75 are members of Team Y [#permalink] New post   13 Jan 2021, 05:00
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94% (00:48) correct 6% (01:14) wrong based on 66 sessions
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Out of 100 kids, 50 are members of Team X and 75 are members of Team Y. If 40 kids are members of both teams then how many of these 100 kids belong to neither of the two teams?

A. 10
B. 15
C. 20
D. 25
E. 30
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B
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dave13
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Re: Out of 100 kids, 50 are members of Team X and 75 are members of Team Y [#permalink] New post   13 Jan 2021, 10:28
Bunuel wrote:
Out of 100 kids, 50 are members of Team X and 75 are members of Team Y. If 40 kids are members of both teams then how many of these 100 kids belong to neither of the two teams?

A. 10
B. 15
C. 20
D. 25
E. 30


total = A+B-Both+neither

100 = 50+75-40+n

neither =15

B :)
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priyachandank
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Re: Out of 100 kids, 50 are members of Team X and 75 are members of Team Y [#permalink] New post   13 Jan 2021, 11:01
n=100.
x- 50; y=75; x and y= 40 =>> 50+75-40= 85 (x and y only)
no.of people belong to no group= 100-85= 15.
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Bunuel
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Re: Out of 100 kids, 50 are members of Team X and 75 are members of Team Y [#permalink] New post   20 Jan 2021, 13:15
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Bunuel wrote:
Out of 100 kids, 50 are members of Team X and 75 are members of Team Y. If 40 kids are members of both teams then how many of these 100 kids belong to neither of the two teams?

A. 10
B. 15
C. 20
D. 25
E. 30


Veritas Prep Official Explanation





Clearly, you can solve by simply filling in the information above as shown on the right below or by using the formula shown on the left below. Either approach is valid, but on harder problems you generally want to solve by drawing out the diagrams, reading carefully, and using logic.



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Re: Out of 100 kids, 50 are members of Team X and 75 are members of Team Y [#permalink]
20 Jan 2021, 13:15
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