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26 Apr 2017, 01:15
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Of the 100 people, 72% bought stocks and 65% bought bonds. What is the number of people who bought stocks but not bonds?
1) The number of people who bought both stocks and bonds is 45
2) The number of people who bought neither stocks nor bonds is 8
==> If you modify the original condition and the question, you get a 2 by 2, as shown on the table below.
4.26.png [ 2.5 KiB | Viewed 1353 times ]
From a+b+c+d=100, a+c=100(72%)=72, and a+b=100(65%)=65, there are 4 variables and 3 equations. In order to match the number of variables to the number of equations, there must be 1 more equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer.
For con 1), from a=45, you get 45+c=27, hence c=27 and it is unique and sufficient.
For con 2), from d=8, you get a+b+c+d=65+c+8=100, hence c=27 and it is unique and sufficient.
Therefore, the answer is D.
Answer: D
1) The number of people who bought both stocks and bonds is 45
2) The number of people who bought neither stocks nor bonds is 8
==> If you modify the original condition and the question, you get a 2 by 2, as shown on the table below.
Attachment:
4.26.png [ 2.5 KiB | Viewed 1353 times ]
From a+b+c+d=100, a+c=100(72%)=72, and a+b=100(65%)=65, there are 4 variables and 3 equations. In order to match the number of variables to the number of equations, there must be 1 more equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer.
For con 1), from a=45, you get 45+c=27, hence c=27 and it is unique and sufficient.
For con 2), from d=8, you get a+b+c+d=65+c+8=100, hence c=27 and it is unique and sufficient.
Therefore, the answer is D.
Answer: D
27 Apr 2017, 01:49
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If nk≠0, n is what percent of k?
1) k=0.2n
2) (k+n)/n=1.2
==> If you modify the original condition and the question, from n=(some)(1/100)k, you get some=100(n/k). However, con 1) = con 2), so you get some=100(0.2)=20, hence it is unique and sufficient.
Therefore, the answer is D.
Answer: D
1) k=0.2n
2) (k+n)/n=1.2
==> If you modify the original condition and the question, from n=(some)(1/100)k, you get some=100(n/k). However, con 1) = con 2), so you get some=100(0.2)=20, hence it is unique and sufficient.
Therefore, the answer is D.
Answer: D
28 Apr 2017, 01:31
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Attachment:
gc.png [ 1.21 KiB | Viewed 1339 times ]
A larger playground has a rectangular-shaped track shaded shown as above figure such that the track has a uniform d as its width. What is the track’s area?
1) The perimeter of the smaller playground is 100.
2) The perimeter of the larger playground is 200.
==> In the original condition, if you set the width and the height of the playground as a and b, there are 3 variables (a,b,d). In order to match the number of variables to the number of equations, there must be 3 equations. Since there is 1 for con 1) and 1 for con 2), E is most likely to be the answer. By solving con 1) and con 2), from 2(a+b)=100 and 2(a+b)+8d=200, you cannot find a and b in a unique way, hence it is not sufficient.
Therefore, the answer is E.
Answer: E
