Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 481:

  A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?

  A. 6%.

  B. 7.5%.

  C. 9.2%.

  D. 10.5%.

  E. 11%.

  Correct Answer: B

  (100% - 88% - 5% = 7%) of the solution is made from sugar, which is (0.07 x 340 = 23.8 liters). 3.2 liters of sugar were added to the solution, so there are 27 liters of sugar in the solution. The total volume of the solution is: 340 + 3.2 + 10 + 6.8 = 360 liters. (27 / 360 = 3/40), which is 7.5% percent.

• Question 482:

  A 75-liter solution of cool-drink is made from 8% jasmine water. If 3 liters of jasmine and 12 liters of water were added to the solution, what percent of the solution is jasmine?

  A. 10.3%.

  B. 11.5%.

  C. 10%.

  D. 12.2%.

  E. 12%.

  Correct Answer: C

  8% of the solution is made of jasmine, 8% of 70 is 6 liters. If 3 liters of jasmine and 12 liters of water are added, the amount of the jasmine is 9 liters and the percent of the jasmine out of the entire solution is ((9)/ (75 + 15) = (9/90) = 10%.

• Question 483:

  A certain church bell rings the bell twice at half past the hour and four times at the hour plus an additional number of rings equal to what ever time it is. How many rings will the clock make from 6:20 in the morning to 10:10 in the morning?

  A. 32.

  B. 36.

  C. 42.

  D. 46.

  E. 50.

  Correct Answer: D

  Let's start from the top. The first two rings will be at 6:30 from there there'll be 2 rings ever half past the hour until ten, at 7:30, 8:30 and 9:30. That will sum up to 8 rings total. The bell will also ring at 7:00 8 rings, at 8:00 9 rings, at 9:00 10 rings and at 10 11 rings. The total number of rings is: 8 + 8 + 9 + 10 + 11 = 46 rings.

• Question 484:

  Mike, Jim and Bob are all professional fisherman. Mike can catch 21 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?

  A. 64.

  B. 72.

  C. 86.

  D. 98.

  E. 112.

  Correct Answer: D

  Mike can catch 21 fish in one hour, Jim can catch 42 fish in one hour and Bob can catch (1.5 x 42 = 63 fish) in one hour. 40 minutes is 2/3 of an hour. After 2/3 hours they all caught (21 + 42 + 63) x (2/3) = 84 fish. In the next 1/3 hour that's left, Jim is left alone and so he can catch (1/3 x 42 = 14) fish. The total number of fish that they caught is (84 + 14 = 98).

• Question 485:

  There are three foam generators in the factory, the first two can generate 14 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?

  A. 120.

  B. 132.

  C. 146.

  D. 154.

  E. 166.

  Correct Answer: D

  In the first hour and a half all the generators worked and produced (14 + 14 + 18) x (1.5) = (69) liters.

  In the next two hours two generators worked and produced (14 + 18) x (2) = (64) liters. The rest of the time

  (5-1.5-2 = 1.5 hours) only one generator worked and produced (14 x 1.5 = 21 liters of foam).

  The total amount of foam that was created is (69 + 32 + 21 = 154 liters).

• Question 486:

  It takes Avery 3 hours to build a brick wall while Tom can do it in 2.5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?

  A. 25 minutes.

  B. 30 minutes.

  C. 40 minutes.

  D. 55 minutes.

  E. 1 hour and 20 minutes.

  Correct Answer: C

  The output of Avery is 1/3 walls in one hour and the output of Tom is 2/5 walls in one hour. The two worked together for one hour, their combined output is (1/3 + 2/5 = 11/15) wall and that's the fraction of the wall that they completed together. Tom has (1-11/15 = 4/15) wall left, with his current output it will take him ((4/15) / (2/5) = 2/3) hours, which is 40 minutes.

• Question 487:

  The mall charges 50 cents for the first hour of parking and $3 for each additional hour until the customer reaches 4 hours, after that the parking fee is $1 per hour. If a certain customer parked his in the mall for 7 hours and 30 minutes, how much is he going to pay?

  A. $11.5.

  B. $12.

  C. $13.

  D. $14.5.

  E. $15.

  Correct Answer: C

  The customer parked for 7 hours and 30 minutes. Divide the problem into parts:

  The first hour cost him 0.5 dollars. He has 6.5 hours left. The next three hours cost him 3 dollars per hour,

  $9 in total for that time. He has (7.5 ?4 = 3.5 hours left) at a wage of $1 per hour, it sums up to 3.5

  additional dollars.

  Sum it all up: 0.5 + 9 + 3.5 = $13.

• Question 488:

  If ( 0 < X < Y ), X is an odd number and Y is a prime number, which of the following can be the value of X + Y ?

  A. 11.

  B. 13.

  C. 17.

  D. 10.

  E. 7.

  Correct Answer: D

  Every prime number except 2 is an odd number. If Y = 2, than X must have been 1 because X is smaller than Y but this answer doesn't appear among the answers and therefore Y is odd. If X and Y are both odd numbers, their sum must be an even number. The only even answer is D.

• Question 489:

  It costs $4 for the first ?hour to use the laundry machine at the Laundromat. After the first ?hour it costs $12 per hour. If a certain customer uses the laundry machine for 3 hours and 25 minutes, how much will it cost him?

  A. $25.

  B. $32.

  C. $36.

  D. $40.

  E. $42.

  Correct Answer: E

  The customer uses the machine for 3 hours and 25 minutes. The first 15 minutes cost him $4 and he has 3

  hours and 10 minutes left, which is (12 x 3 = $36) + 10 minutes. 10 minutes are 1/6 of an hour, which is

  (1/6 x 12 = $2).

  The total cost will be: 4 + 36 + 2 = $42.

• Question 490:

  It takes Tanya 50 minutes to drive to the country club. If the average speed of the entire round trip to the club is 87.5% of the average speed on the way to the club, how many minutes approximately will it take Tanya to drive home from the country club?

  A. 42 minutes.

  B. 48 minutes.

  C. 52 minutes.

  D. 54 minutes.

  E. 66 minutes.

  Correct Answer: C

  Define X as the average speed to the country club and Y as the average speed on the way back. The average speed of the entire round trip to the club is 87.5% of the average speed on the way to the club: (X

  + Y)/2 = 0.875X X + Y = 1.75X Y = 0.75X. The average speed on the way back is 75% of the speed to the club. If the time it takes her to get to the country is T, then T/0.75 is the time it will take to get back home.

  50/0.75 = approximately 66 minutes.