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In a recent survey, Q people were asked whether they eat after 22:00

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In a recent survey, Q people were asked whether they eat after 22:00  [#permalink]

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New post 05 Jul 2016, 12:20
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82% (02:22) correct 18% (02:51) wrong based on 81 sessions

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In a recent survey, Q people were asked whether they eat after 22:00 O'clock. 25 percent of the people answered positively and 40 percent of the rest were asked, at what time do they get up in the morning. Which of the following expressions represents the number of people who do not eat after 22:00 and were not asked about the time they get up in the morning?

A. 3Q/20.
B. Q/10.
C. 5Q/9.
D. 3Q/10.
E. 9Q/20.

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Re: In a recent survey, Q people were asked whether they eat after 22:00  [#permalink]

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New post 05 Jul 2016, 13:27
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25% i.e 1/4Q eat dinner after 22:00
3/4Q don't eat dinner after 22:00

\(\frac{60}{100}*\frac{3}{4}*Q\)is the answer
Ans E. 9Q/20.

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In a recent survey, Q people were asked whether they eat after 22:00  [#permalink]

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New post 05 Jul 2016, 15:37
Q (total)
/ \
1Q/4 3Q/4

3Q/4 * 40/100 =3Q/10 were asked, at what time do they get up in the morning. So 7Q/10 were not asked. the number of people who do not eat after 22:00 and were not asked about the time they get up in the morning will be 7Q/10+ 3/4Q = 19Q/20
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Re: In a recent survey, Q people were asked whether they eat after 22:00  [#permalink]

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New post 05 Jul 2016, 17:36
Turkish wrote:
Q (total)
/ \
1Q/4 3Q/4

3Q/4 * 40/100 =3Q/10 were asked, at what time do they get up in the morning. So 7Q/10 were not asked. the number of people who do not eat after 22:00 and were not asked about the time they get up in the morning will be 7Q/10+ 3/4Q = 19Q/20


Actually, \(\frac{7Q}{10}\) persons already included into \(\frac{3Q}{4}\) persons(already overlapped the quantity).So the highlighted calculations made no sence here.

Please correct me if I miss any point here

IMO ,

The Number of people eat after 22:00=\(\frac{25Q}{100}\)=\(\frac{Q}{4}\),So the number of people DO NOT eat after 22:00=Q-\(\frac{Q}{4}\)=\(\frac{3Q}{4}\)
Accordingly,The number of people were asked, at what time do they get up in the morning= \(\frac{3Q}{4}\)*\(\frac{40}{100}\)=\(\frac{3Q}{10}\)
The Number of people eat after 22:00 and The number of people were asked about the time they get up in the morning=\(\frac{Q}{4}\)+\(\frac{3Q}{10}\)=\(\frac{11Q}{20}\)

So,Finally the number of people who do not eat after 22:00 and were not asked about the time they get up in the morning=Q-\(\frac{11Q}{20}\)=\(\frac{9Q}{20}\)

Correct Answer E
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Re: In a recent survey, Q people were asked whether they eat after 22:00  [#permalink]

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New post 05 Jul 2016, 20:34
Bunuel wrote:
In a recent survey, Q people were asked whether they eat after 22:00 O'clock. 25 percent of the people answered positively and 40 percent of the rest were asked, at what time do they get up in the morning. Which of the following expressions represents the number of people who do not eat after 22:00 and were not asked about the time they get up in the morning?

A. 3Q/20.
B. Q/10.
C. 5Q/9.
D. 3Q/10.
E. 9Q/20.


Assume Q=100
100-25=75 people said they ate before 22:00
75*0.4=30 people were asked what time they got up in the morning

25+30=55 people were either asked what time they got up in the morning OR ate after 22:00
100-55=45 or 45% of Q were the number of people who did neither.

E is the equation for 45% of Q.

Answer: E
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Re: In a recent survey, Q people were asked whether they eat after 22:00  [#permalink]

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Re: In a recent survey, Q people were asked whether they eat after 22:00   [#permalink] 22 Jul 2017, 12:48
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