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GMAT Overlapping SETS Top 6 ( 15 questions, 20 minutes )

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; Subject: ; Class: ; with 15 questions; test in 20 minutes; update 12/07/2017
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Subjects Update 12/07/2017
Class Number of questions 15
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Question 1.

If set R contains the consecutive integers from -5 to -1, what is the mean of set R?

(A)

-5

(B)

-3

(C)

0

(D)

3

(E)

5

Question 2.

Set A contains the consecutive integers ranging from x to y, inclusive. If the number of integers in set A that are less than 75 is equal to the number of integers that are greater than 75, what is the value of 3x + 3y?

(A)

225

(B)

300

(C)

372

(D)

450

(E)

528

Question 3.

In the first week of last month, Company X realized an average wholesale profit of $5304 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?

(A)

$3

(B)

$4

(C)

$7

(D)

$11

(E)

$51

Question 4.

Which of the following could be the median of a set consisting of 6 different primes? 

(A)

2

(B)

3

(C)

9.5

(D)

12.5

(E)

39

Question 5.

The median annual household income in a certain community of 21 households is $50,000. If the mean income of a household increases by 10% per year over the next 2 years, what will the median income in the community be in 2 years?

(A)

$50,000

(B)

$60,000

(C)

$60,500

(D)

$65,000

(E)

Cannot get

Question 6.

T is a set of y integers, where 0 < y < 7. If the average of Set T is the positive integer x, which of the following could NOT be the median of Set T?

(A)

0

(B)

x

(C)

–x

(D)

y/3

(E)

2y/7

Question 7.

a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive.  The median of set S is (3/4) b.  The median of set Q is (7/8) c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?

(A)

3/8

(B)

1/2

(C)

11/16

(D)

5/7

(E)

3/4

Question 8.

Jim Broke’s only source of income comes from his job as a question writer. In this capacity, Jim earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Jim takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Jim wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Jim’s median annual income over the past 5 years?

(A)

$22,474

(B)

$25,673

(C)

$27,318

(D)

$28,423

(E)

$31,227

Question 9.

During a behavioral experiment in a psychology class, each student is asked to compute his or her lucky number by raising 7 to the power of the student's favorite day of the week (numbered 1 through 7 for Monday through Sunday respectively), multiplying the result by 3, and adding this to the doubled age of the student in years, rounded to the nearest year. If a class consists of 28 students, what is the probability that the median lucky number in the class will be a non-integer?  

(A)

0%

(B)

10%

(C)

20%

(D)

30%

(E)

40%

Question 10.

For the set of terms [x, y, x + y, x – 4y, xy, 2y], if y > 6 and the mean of the set equals y + 3, then the median must be

(A)

(x + y) / 2 

(B)

y + 3

(C)

y

(D)

3y/2

(E)

(x/2) + y

Question 11.

Set A: 3, x, 8, 10            Set  B:  4,  y,  9,  11.      The terms of  each  set  above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y x?

(A)

-2

(B)

-1

(C)

0

(D)

1

(E)

2

Question 12.

Set S includes elements {8, 2, 11, x, 3, y} and has a mean of 7 and a median of 5.5. If x < y, then which of the following is the maximum possible value of x?

(A)

0

(B)

1

(C)

2

(D)

3

(E)

4

Question 13.

The temperatures in Celsius recorder at 6 in the morning in various parts of a certain country were 10,5,-2,-1,-5 and 15. What is the median of these temperatures?

(A)

-2

(B)

-1

(C)

2

(D)

3

(E)

5

Question 14.

Score

Number and Interval of Scores

50-59

2

60-69

10

70-79

16

80-89

27

90-99

18

The table above shows the distribution of test scores for a group of management trainees, which score interval contains the median of the 73 scores?

(A)

60-69

(B)

70-79

(C)

80-89

(D)

90-99 

(E)

Can’t get

Question 15.

Five pieces of wood have an average (arithmetic mean) length of 124 centimeters and a median length of 140 centimeters. What is the maximum possible length in centimeters of the shortest piece of wood?

(A)

90

(B)

100

(C)

110

(D)

130

(E)

140

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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