Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 451:

  X years in the future, Zach will be Y years old. Z years in the future, Zach will be how old?

  A. Z + X + Y

  B. Z + X - Y

  C. X-Y - Z

  D. Y-X + Z

  E. 2Z + X-Y

  Correct Answer: D

  Write the following equations: Zach + X = Y and Zach + Z =? Put Zach from the first equation and place it in the second one: Y -X + Z is the age in Z years.

• Question 452:

  Richard is now 14.5 years older than Arthur and half of that amount older than Sam. If in 2.75 years, Richard will be twice and a half older than Arthur, then in 7 years what would be Arthur's age approximately?

  A. 8

  B. 14

  C. 22

  D. 24

  E. 30

  Correct Answer: B

  Translate piece by piece into numbers. R (Richard) = A (Arthur) + 14.5.

  The second equation: R = S (Sam) +7.25.

  The third equation: R +2.75 = 2.5(A + 2.75). We have three equations with three variables. Today Arthur's

  age is approximately 6.9 (take 7). In 7 years he would be about 14 years old.

• Question 453:

  Ronald is now 4.5 years older than Andrew and third of that amount older than Ingrid. If in 0.5 years, Ronald will be three times older than Andrew, then in 2.25 years what would be Ingrid's divided by Andrew's age multiplied by Ronald's age?

  A. 8.125

  B. 12.5

  C. 12.875

  D. 14.875

  E. 15.225

  Correct Answer: D

  Translate piece by piece into numbers. R (Ronald) = A (Andrew) + 4.5.

  The second equation: R = I (Ingrid) + 1.5.

  The third equation: R + 0.5 = 3(A + 0.5). We have three equations with three variables. Ronald is 6.25,

  Ingrid is 4.75 and Andrew is 1.75. In 2.25 years, Ronald will be 8.5, Ingrid will be 7 and Andrew will be 4.

  The answer is: 7 / 4 x 8.5 = 14.875.

• Question 454:

  Rain is falling at a rate of 3 centimeters per hour all over Springfield. Somewhere downtown in Springfield a group of pigeons is waiting for the rain to stop. If the rain filled a round puddle the with a base area of 350 square centimeters and a depth of 13.5 centimeters, how long did the pigeons wait for the rain to stop?

  A. 3 hours and 12 minutes.

  B. four hours and 30 minutes.

  C. four hours and 45 minutes.

  D. five hours and 10 minutes.

  E. five hours and 30 minutes.

  Correct Answer: B

  The volume of the puddle is irrelevant since rain fell all over the city. Thus, you should relate to the depth that fell only. 13.5 / 3 = 4.5 hours of rain.

• Question 455:

  Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?

  A. 2 minute and 12 seconds.

  B. two minutes.

  C. 44 seconds.

  D. 20 seconds.

  E. 12 seconds.

  Correct Answer: D

  Jerry is running at a speed of 0.64 x 2.5 = 1.6 meters per second. Tom runs alone a distance of 2.5 x 20 = 50 meters. Tom caught Jerry off-guard and Jerry didn't even start running.

• Question 456:

  Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?

  A. Six hours and 30 minutes.

  B. Seven hours and 30 minutes.

  C. Eight hours and 20 minutes.

  D. Nine hours and 15 minutes.

  E. Ten hours and 20 minutes.

  Correct Answer: B

  Car B is traveling at a speed of 0.82 x 50 = 44 mph.

  The cars are traveling in opposite directions. Thus, the distance should be divided by the sum of their

  speeds = 50 + 44 = 94 mph.

  705 miles / 94 = 7.5 = seven hours and 30 minutes.

• Question 457:

  Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 1505 miles?

  A. Two hours and 30 minutes.

  B. One hour and 10 minutes.

  C. Two hours and 25 minutes.

  D. Three hours and 15 minutes.

  E. Four hours and 20 minutes.

  Correct Answer: A

  Train B is traveling at a speed of 0.72 x 350 = 252 mph. The two trains are traveling in opposite directions.

  Thus, the distance should be divided by the sum of their speeds = 252 + 350 = 602 mph.

  1505 miles / 602 = 2.5 = two hours and 30 minutes.

• Question 458:

  V is the volume of a cylinder; the radius of the cylinder is 3.4. The height of the cylinder is 550% more than the radius. Which of the following is true?

  A. 100 < V < 300

  B. 300 < V < 500

  C. 500 < V < 700

  D. 700 < V < 900

  E. 900 < V < 1100

  Correct Answer: D

  You can start with the length. Length = 6.5 x 3.4 is approximately 22. The Volume of the cylinder is the

  area of its face x its length.

  Area of face = .

  V is approximately 36 x 22 = 792 and the best answer is D.

• Question 459:

  Billy worked for three straight hours on his homework questions. If he solved 132 questions in the third hour, which was twice as many as he solved in the second hour, and three times as many questions as he solved in the first hour, how many questions did he solve total?

  A. 242

  B. 312

  C. 424

  D. 525

  E. 622

  Correct Answer: A

  132 / 2 are 66 questions in the second hour, 132 / 3 are 44 questions in the third hour. 132 + 66 + 44 = 242 questions.

• Question 460:

  A rotameter is a device that measures flow of liquid and gases. When measuring liquid phase flows, 2.5 inches represent 60 liters per minute of liquid. With gas measurements the rotameter moves 50% of the movement he moves with the liquid phase. How many liters of gas passed through the rotameter if it measured 4 inches?

  A. 176

  B. 192

  C. 202

  D. 218

  E. 284

  Correct Answer: B

  The rotameter moves 50% of 2.5 meaning 1.25 inches is 60 liters of gas. The rotameter moved 4 inches. 4/1.25 = 3.2 x 60 liters is 192 liters measured.