Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 611:

  There are 200 cats in Cat-City. Out of the 200, 70 are street cats and the rest are domestic cats. 110 cats are gray, 30 out of the gray cats are domestic ones. How many domestic cats are there which are not gray in Cat-City?

  A. 90.

  B. 80.

  C. 50.

  D. 40.

  E. 25.

  Correct Answer: C

  Out of 200 cats, 130 are domestic ones. Out of 110 gray cats, 30 are street cats therefore 80 are grey and

  domestic ones.

  Altogether there are 130 domestic cats, 80 are grey so (130 -80) = 50 are not grey.

• Question 612:

  In the Kan film festival, 50 movies were presented. 3/5 of the movies are action movies and 4/5 is science fiction movies. How many of the movies were science fiction action movies?

  A. 10.

  B. 15.

  C. 20.

  D. 30.

  E. 35.

  Correct Answer: C

  There were (3/5 x 50 = 30) action movies.

  There were (4/5 x 50 = 40) science fiction movies.

  Exact overlapping is calculated by minimum overlapping method. Therefore there are (40 + 30 -50 = 20)

  movies that belong to both categories.

• Question 613:

  Ross has 40 shirts, ¾ of the shirts are green and 1/10 is without buttons.

  Therefore Ross has between ___ and ___ shirts with buttons that are not green.

  A. 6 ; 10.

  B. 4 ; 25.

  C. 4 ; 10.

  D. 5 ; 25.

  E. 3 ; 10.

  Correct Answer: A

  Notice that the groups that we are looking for a overlapping are the not-green shirts and the buttoned ones.

  The not-green shirts are a quarter of 40, 10 shirts.

  The shirts with buttons are (9/10 x 40 = 36).

  The maximum overlapping is the size of the smallest group: 10.

  The minimum overlapping is: 36 + 10 – 40 = 6.

  Therefore A is the answer.

• Question 614:

  In Jonathan's pen there are 300 sheep's. 5/6 of the sheep's are white, 2/3 of the sheep's have soft wool. What can't be the number of white sheep's that also have soft wool in the pen?

  A. 100.

  B. 200.

  C. 190.

  D. 180.

  E. 160.

  Correct Answer: A

  There are (5/6 x 300 = 250) white sheep's.

  There are (2/3 x 300 = 200) soft woolen sheep's.

  The maximum overlap is the size of the smallest among the groups, thus 200. The minimum overlap is

  (250 + 200 - 300 = 150).

  Therefore the number of sheep's can be somewhere between 150 and 200.

• Question 615:

  There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right- handed. How many right-handed boys are there in the classroom?

  A. Between 10 and 32.

  B. Between 14 and 32.

  C. Between 10 and 18.

  D. Between 14 and 18.

  E. Between 18 and 36.

  Correct Answer: C

  There are (9/20 x 40 = 18) boys in the class. 80% of them are right-handed, meaning that (4/5 x 18 = 14.4). Answer C is the best answer.

• Question 616:

  many desks can 4 carpenters build in 4 hours?

  A. 2.4.

  B. 3.6.

  C. 4.2.

  D. 5.5.

  E. 6.4

  Correct Answer: E

  2 carpenters build 2 desks in 2.5 hours ---> 4 carpenters build 4 desks in 2.5 hours ----> In 4 hours there are (4/2.5 = 1.6) time units. And (4 x 1.6) is 6.4 desks.

• Question 617:

  The volume of water inside a swimming pool doubles every hour. If the pool is filled to its full capacity within 8 hours, in how many hours was it filled to one quarter of its capacity?

  B. 4

  C. 5

  D. 6

  E. 7

  Correct Answer: D

  Solve this question backwards. If the pool was full on the 8th hour, it was half filled on the 7th and one quarter filled on the 6th.

• Question 618:

  The ratio between the number of sheep and the number of horses at the Stewart farm is 4 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?

  A. 18

  B. 28

  C. 32

  D. 56

  E. 60

  Correct Answer: C

  The number of horses can be calculated using the total weight of daily horse food divided by the

  

  number of sheep is: . There are 32 sheep.

• Question 619:

  John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?

  A. 30

  B. 40

  C. 50

  D. 55

  E. 70

  Correct Answer: B

  Take 100 miles as the total mileage traveled, then calculate the total distance divided by the total

  

  time to receive the average speed for the whole trip: . And v=30 miles per hour.

• Question 620:

  A factory has a fixed cost of $45,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?

  A. 9,000

  B. 14,000

  C. 18,000

  D. 22,500

  E. 27,000

  Correct Answer: C

  To find the number of items sold that makes the revenues equal to the cost, solve the following .