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Some PS questions from GMATprep [#permalink]
26 Feb 2010, 22:30

00:00

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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?

Re: Some PS questions from GMATprep [#permalink]
27 Feb 2010, 00:09

1

This post received KUDOS

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

Re: Some PS questions from GMATprep [#permalink]
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.

Re: Some PS questions from GMATprep [#permalink]
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

Re: Some PS questions from GMATprep [#permalink]
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

Re: Some PS questions from GMATprep [#permalink]
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?

Re: Some PS questions from GMATprep [#permalink]
27 Feb 2010, 00:27

1

This post received KUDOS

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.