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GMAT Overlapping SETS Top 5 ( 15 questions, 20 minutes )

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; Subject: ; Class: ; with 15 questions; test in 20 minutes; update 10/07/2017
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Subjects Update 10/07/2017
Class Number of questions 15
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Question 1.

In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 5 : 7. If the shop carries 48 cats and bunnies total in stock, how many dogs are there?

(A)

12

(B)

13

(C)

14

(D)

15

(E)

16

Question 2.

A foreign language club at Washington Middle School consists of n students, 2/5 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 5/6 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German?

(A)

2n/5

(B)

n/3

(C)

n/5

(D)

2n/15

(E)

n/15

Question 3.

A certain ball team has an equal number of right- and left-handed players. On a certain day, two-thirds of the players were absent from practice. Of the players at practice that day, one-third were left handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of left- handed players who were not at practice?

(A)

1/3

(B)

2/3

(C)

5/7

(D)

7/5

(E)

3/2

Question 4.

Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 30 white marbles. How many red marbles could be in bag A?

(A)

1

(B)

3

(C)

4

(D)

6

(E)

8

Question 5.

The ratio by weight, measured in pounds, of books to clothes to electronics in Jorge's suitcase initially stands at 8 to 5 to 3. Jorge then removes 4 pounds of clothing from his suitcase, thereby doubling the ratio of books to clothes. Approximately how much do the electronics in the suitcase weigh, to the nearest pound?

(A)

3

(B)

4

(C)

5

(D)

6

(E)

7

Question 6.

During 2005, a company produced an average of 2,000 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 200% over its 2005 average?

(A)

148,000

(B)

172,000

(C)

200,000

(D)

264,000

(E)

288,000

Question 7.

After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 5 courses, each with an equal weight for GPA calculations, and received two grades of A-, one grade of B+, and one grade of B, what is the lowest grade that Thomas could receive for his fifth class to qualify for the scholarship?
Point Values of Select Grades
Grade    A    A-    B+    B    B-    C+    C    C-
Value    4    3.7    3.3    3    2.7    2.3    2    1.7
 

(A)

A

(B)

B+

(C)

B

(D)

B-

(E)

C+

Question 8.

A parking lot charges a flat rate of X dollars for any amount of time up to two hours, and \(\frac{1}{6}X\) for each hour or fraction of an hour after the first two hours. How much does it cost to park for 5 hours and 15 minutes?
(A)3X (B)2X (C)\(1\frac{2}{3}X\) (D)\(1\frac{1}{2}X\) (E)\(1\frac{1}{6}X\)

Question 9.

A certain portfolio consisted of 5 stocks, priced at $20, $35, $40, $45, and $70, respectively. On a given day, the price of one stock increased by 15%, while the price of another stock decreased by 35% and the prices of the remaining three remained constant. If the average price of a stock in the portfolio rose by approximately 2%, which of the following could be the prices of the shares that remained constant?
(A) $20, $35, and $70
(B) $20, $45, and $70
(C) $20, $35, and $40
(D) $35, $40, and $70
(E) $35, $40, and $45

Question 10.

If John makes a contribution to a charity fund at school, the average contribution size will increase by 50%, reaching $75 per person. If there were 5 other contributions made before John’s, what is the size of his donation?
(A)$100 (B)$150 (C)$200 (D)$250 (E)$450

Question 11.

What is the minimum percentage increase in the mean of set X {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes?
(A)25% (B)50% (C)75% (D)100% (E)200%

Question 12.

Which of the following series of numbers, if added to the set {1, 6, 11, 16, 21}, will not change the set’s mean?
I. 1.5, 7.11 and 16.89 II. 5.36, 10.7 and 13.24 III. -21.52, 23.3, 31.22
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) None

Question 13.

If numbers N and K are added to set X {2, 8, 10, 12}, its mean will increase by 25%. What is the value of N2 + 2NK + K2 ?

(A)

28

(B)

32

(C)

64

(D)

784

(E)

3600

Question 14.

The mean of (54,820)2 and (54,822)2 =

(A)

(54,821)2

(B)

(54,821.5)2

(C)

(54,820.5)2

(D)

(54,821)2 + 1

(E)

(54,821)2 – 1

Question 15.

Set S consists of integers 7, 8, 10, 12, and 13. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 20%. What is the value of integer n?

(A)

10

(B)

12

(C)

16

(D)

22

(E)

24

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10    Question 11    Question 12    Question 13    Question 14    Question 15   
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