# GMAT Overlapping SETS Top 3 ( 15 questions, 20 minutes )

Subject: ; Class: ; with 15 questions; test in 20 minutes; update 09/07/2017
 Time 20 minutes Time to take the test Start exam Click button start to test. Guide to the test Subjects Gmat test Update 09/07/2017 Class Level 2 Number of questions 15 View 561 Tested 4

Question 1.

Bob bikes to school every day at a steady rate of x miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from the school to Bob's home?

 (A) (x + y) / t (B) 2(x + t) / xy (C) 2xyt / (x + y) (D) 2(x + y + t) / xy (E) x(y + t) + y(x + t)

Question 2.

Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

 (A) 40 (B) 80 (C) 120 (D) 160 (E) 180

Question 3.

Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at  a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?

 (A) 1/8 (B) 2/15 (C) 3/15 (D) 1/4 (E) 3/8

Question 4.

Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?

 (A) 60 (B) 72 (C) 84 (D) 90 (E) 108

Question 5.

It takes the high-speed train x hours to travel the z miles from Town A to Town B at a constant rate, while it takes the regular train y hours to travel the same distance at a constant rate. If the high-speed train leaves Town A for Town B at the same time that the regular train leaves Town B for Town A, how many more miles will the high-speed train have traveled than the regular train when the two trains pass each other?

 (A) $$z(y-x)\over x+y$$ (B) $$z(x-y)\over x+y$$ (C) $$z(x+y)\over y-x$$ (D) $$xy(x+y)\over y-x$$ (E) $$xy(x+y)\over x-y$$

Question 6.

The ‘moving walkway’ is a 300-foot long conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 feet per second, reaches the group of people, and then remains stationary until the walkway ends. What is Bill’s average rate of movement for his trip along the moving walkway?

 (A) 2 feet per second (B) 2.5 feet per second (C) 3 feet per second (D) 4 feet per second (E) 5 feet per second

Question 7.

John and Jacob set out together on bicycle traveling at 15 and 12 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)

 (A) 3 (B) 3.33 (C) 3 ½ (D) 4 (E) 4 ½

Question 8.

Deb normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving  by 20% . If Deb averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?

 (A) 135 (B) 105 (C) 95 (D) 75 (E) 45

Question 9.

Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 4 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?

 (A) R – 4 (B) R / (R + 4) (C) R / (R – 8) (D) 8 / (R – 8) (E) R2  – 4

Question 10.

On Monday, Lou drives his ford escort with 28-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his car to 32-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lou’s tires make per second?

 (A) Decrease by 14.3% (B) Decrease by 12.5% (C) Increase by 14.3% (D) Increase by 12.5% (E) cannot be determined with the given information

Question 11.

Martha takes a road trip from point A to point B. She drives x percent of the distance at 60 miles per hour and the remainder at 50 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?

 (A) 110 (B) 300 (C) 1,100 (D) 3,000 (E) 30,000

Question 12.

A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 15 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?

 (A) 5:00 (B) 5:34 (C) 5:42 (D) 6:00 (E) 6:24

Question 13.

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?  (A)$506.00 (B) $726.24 (C)$900.00 (D) $920.24 (E)$926.24

Question 14.

Wes works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 2,000 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 250,000. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?

 (A) 50,000 (B) 62,500 (C) 65,000 (D) 86,666 (E) 125,000

Question 15.

The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 250,000 locusts?

 (A) 6 (B) 8 (C) 10 (D) 12 (E) 14