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Difficulty:
35%
(medium)
Question Stats:
75% (02:16) correct
25%
(02:28)
wrong
based on 1291
sessions
History
Date
Time
Result
Not Attempted Yet
According to a survey, 7 percent of teenagers have not used a computer to play games, 11 percent have not used a computer to write reports, and 95 percent have used a computer for at least one of the above purposes. What percent of the teenagers in the survey have used a computer both to play games and to write reports?
(A) 13%
(B) 56%
(C) 77%
(D) 87%
(E) 91%
_________________
(A) 13%
(B) 56%
(C) 77%
(D) 87%
(E) 91%
_________________
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Given: 7 percent of teenagers have not used a computer to play games.
The percentage of teenagers who have used a computer to play games is 93%
Since 11 percent have not used a computer to write reports, the percentage of
teenagers who have used a computer to write reports is 89%
It has been given that teenagers who have used the computer for at least one of
the purposes - 95% (making the number of teenagers not using computers - 5%)
P(Total) = P(Play games) + P(Write Reports) - P(Both) + P(Neither)
Substituting values, we will get 100 = 93 + 89 - x + 5 | x = 182 + 5 - 100 = 87
Therefore, the percentage of teenagers who use the computer for both purposes is 87%(Option D)
The percentage of teenagers who have used a computer to play games is 93%
Since 11 percent have not used a computer to write reports, the percentage of
teenagers who have used a computer to write reports is 89%
It has been given that teenagers who have used the computer for at least one of
the purposes - 95% (making the number of teenagers not using computers - 5%)
P(Total) = P(Play games) + P(Write Reports) - P(Both) + P(Neither)
Substituting values, we will get 100 = 93 + 89 - x + 5 | x = 182 + 5 - 100 = 87
Therefore, the percentage of teenagers who use the computer for both purposes is 87%(Option D)
Bunuel
Please solution using grid as mentioned below:
Answer: Option D
funsogu Please check answer to your question (asked in PM) here. a+b+c = 95 which gives us d = 100-95=5
I hope this helps!!!
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General Discussion
Bunuel
The best way to solve this is by forming a grid but I am solving this in different way here.
Total teenager who used computer to play games = 100-7 = 93 = a+b
where b is the students who play games as well as write report on computer
Total teenager who used computer to write reports = 100-11 = 89 = b+c
Also, a+b+c = 95
i.e. c = 95-93 = 2
i.e. b = 89-2 = 87
Answer: Option D
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Bunuel
something didnt work out ...hmm
100 = group 1 + group 2 -(both)+neither
100 = 7+11-(95-x)+0
dave13
Problem starts with your group1 and group 2 probably
Check the grid and see if it makes sense
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GMATinsight
hello GMATinsight: i still have questions if you dont mind
Total teenager who used computer to write reports = 100-11 = 89 = b+c
- what does C represent?
Another question if 95 percent have used a computer for at least one of the above purposes, then it means that either student used computer only for one of purposes or used computers for both purposes, IF MY UNDERSTANDING IS CORRECT then Why are you subtracting from 100 and not from 95 ?
One more question if 95 percent have used a computer for at least one of the above purposes THEN 5% DIDNT USE COMPUTER AT ALL ?
dave13
If you check the grid solution mentioned above then your doubt can be answered.
c = People who use computer for reading but nor for games
also, your understanding of 95% is correct. This number represents the people who use computer for atleast one of these activities which is why we can say that rest 5% (100-95) as shown in grid also do NOT use computer for wither of the two activities.
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| Games | No Games | TOT | |
| Reports | X | 2 | 89 (100-11) |
| No Reports | 5 (100-95) | 11 | |
| TOT | 93 (100-7) | 7 | 100 |
89-2=87 =X
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