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

Subject: ; Class: ; with 15 questions; test in 20 minutes; update 12/07/2017
 Time 20 minutes Time to take the test Start exam Click button start to test. Guide to the test Subjects Gmat test Update 12/07/2017 Class Level 3 Number of questions 15 View 445 Tested 0

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