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Some PS questions from GMATprep

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Some PS questions from GMATprep [#permalink] New post 26 Feb 2010, 22:30
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (07:14) correct 0% (00:00) wrong based on 3 sessions
Please answer with explanations. Thanks

1. Equal amounts of water were poured into 2 empty jars of different capacities, which made one jar 1/4 full and the other jar 1/3 full. If the water in the jar with the lesser capacity is then poured into the jar with the greater capacity, what fraction of the large jar will be filled with water?

a. 1/7
b. 2/7
c. 1/2
d. 7/12
e. 2/3

2. What is the greatest prime factor of 4^17-2^28?

a. 2
b. 3
c. 5
d. 7
e. 11

3. In a survey of 248 people, 156 are married, 70 are self-employed and 25% of those who are married are self-employed. If a person is to be randomly selected from those surveyed, what is the probability that the person selected will be self-employed but NOT married?

a. 1/8
b. 4/31
c. 117/148
d. 1/4
e. 31/117

4. In a picnic 60% of people ate 2 hotdogs, 30% people ate one hamburger, and 10% people ate one hotdog. The total number of hotdog and hamburgers consumed is 80. How many hamburgers and hotdogs are consumed?
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Re: Some PS questions from GMATprep [#permalink] New post 27 Feb 2010, 00:09
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1. Equal amounts of water were poured into 2 empty jars of different capacities, which made one jar 1/4 full and the other jar 1/3 full. If the water in the jar with the lesser capacity is then poured into the jar with the greater capacity, what fraction of the large jar will be filled with water?

Lesser jar is 1/3rd full. Pouring 1/4th(same amount of water) into 1/4th full jar will make it 1/2 full

C
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Re: Some PS questions from GMATprep [#permalink] New post 27 Feb 2010, 00:11
2. What is the greatest prime factor of 4^17-2^28?

= 2^34 - 2^28 = 2^28 ( 2^6-1) = 2^28 * 63 = 2^28 * 3^2* 7

greatest prime factor is 7
D
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Re: Some PS questions from GMATprep [#permalink] New post 27 Feb 2010, 00:12
gmatgg wrote:
Please answer with explanations. Thanks

1. Equal amounts of water were poured into 2 empty jars of different capacities, which made one jar 1/4 full and the other jar 1/3 full. If the water in the jar with the lesser capacity is then poured into the jar with the greater capacity, what fraction of the large jar will be filled with water?

a. 1/7
b. 2/7
c. 1/2
d. 7/12
e. 2/3


Statement for second jar is not useful. When we fill the water two times in bigger jar it will fill 1/2 of it. Hence C.
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Re: Some PS questions from GMATprep [#permalink] New post 27 Feb 2010, 00:14
3. In a survey of 248 people, 156 are married, 70 are self-employed and 25% of those who are married are self-employed. If a person is to be randomly selected from those surveyed, what is the probability that the person selected will be self-employed but NOT married?

self-employed = 70
married and self-employed = 25% of 156 = 25 /100 * 156 = 156/4 = 39
self employed but not married = 70-39 = 31
probability to selct self employed but not married from 248 = 31/248=1/8

A
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Re: Some PS questions from GMATprep [#permalink] New post 27 Feb 2010, 00:16
gmatgg wrote:
Please answer with explanations. Thanks

2. What is the greatest prime factor of 4^17-2^28?

a. 2
b. 3
c. 5
d. 7
e. 11


2^(2*17) - 2^28 = 2^28(2^6 - 1) = 63(2^28)

Factors of this number are 2,3,7 hence answer is D
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Re: Some PS questions from GMATprep [#permalink] New post 27 Feb 2010, 00:19
4. In a picnic 60% of people ate 2 hotdogs, 30% people ate one hamburger, and 10% people ate one hotdog. The total number of hotdog and hamburgers consumed is 80. How many hamburgers and hotdogs are consumed?

total people = x
ate 2 hot dogs = 0.6x
ate 1 hamburger = 0.3x
ate 1 hotdog = 0.1x

total hotdog + hamburger = 0.6x * 2 + 0.3x + 0.1x = 80
1.6x = 80
x = 50

hamburgers = 15
hotdogs = 65
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Re: Some PS questions from GMATprep [#permalink] New post 27 Feb 2010, 00:23
gmatgg wrote:
Please answer with explanations. Thanks
3. In a survey of 248 people, 156 are married, 70 are self-employed and 25% of those who are married are self-employed. If a person is to be randomly selected from those surveyed, what is the probability that the person selected will be self-employed but NOT married?

a. 1/8
b. 4/31
c. 117/148
d. 1/4
e. 31/117


Selfemployed but not married = 70 - 25%(156) = 31

P = 31/248 = 1/8 hence A.
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Re: Some PS questions from GMATprep [#permalink] New post 27 Feb 2010, 00:27
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gmatgg wrote:
Please answer with explanations. Thanks
4. In a picnic 60% of people ate 2 hotdogs, 30% people ate one hamburger, and 10% people ate one hotdog. The total number of hotdog and hamburgers consumed is 80. How many hamburgers and hotdogs are consumed?


x- number of people
60% people ate 1.2x hotdogs
30% people ate 0.3x hamburger
10% ate 0.1x hotdogs

1.6x=80
x = 50
hotdogs ate = 60 + 5 = 65
hamburger = 80 - 65 = 15.
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Re: Some PS questions from GMATprep [#permalink] New post 27 Feb 2010, 00:32
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what are OA for the questions.
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Re: Some PS questions from GMATprep [#permalink] New post 27 Feb 2010, 00:44
You guys are awesome and right on too. thanks so much

OA

1. c
2. d
3. a
4. 15 hamburgers and 65 hotdogs
Re: Some PS questions from GMATprep   [#permalink] 27 Feb 2010, 00:44
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