Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 531:

  A newly wed couple is designing their new house by purchasing 10 chairs, 3 desks, 3 televisions and 4 closets. If the price ratio between the new merchandise is

  1 : 3 : 4 : 4, what fraction of the cost of the entire purchase was the cost of a desk and a closet?

  A.

  6/31.

  B.

  7/47.

  C.

  5/28.

  D.

  9/43.

  E.

  11/45.

  Correct Answer: B

  Let X be the price of a single chair, normalize all the prices to the price of a chair. The total price of the entire purchase is: 10X + 9X + 12X + 16X = 47X.

  The specific purchase costs: 3X + 4X = 7X. The percent required is 7/47.

• Question 532:

  If 512 = (A + 48)3, then (A + 53) is equal to

  A. 13.

  B. -10.

  C. 15.

  D. -12.

  E. 5.

  Correct Answer: A

  If 512 = (A + 48)3 A + 48 = 8 A = -40. Therefore, A + 53 = 13.

• Question 533:

  If 529 = (Y -7)2, then Y/3 is equal to

  A. 6.

  B. 8.

  C. 9.

  D. 10.

  E. 12.

  Correct Answer: D

  529 = (Y -7)2, take the root out of both sides to get 23 = Y -7 Y = 30. Therefore Y/3 is equal to 10.

• Question 534:

  "Tires R' us" have 4 times more tires for sale than any regular tire shop. If "Tires R' Us" Sells 122 tires, they will have only three times more tires than the rest.

  How many more tires do "Tires R' us" have than the regular tire shop?

  A. 488.

  B. 388.

  C. 366.

  D. 299.

  E. 188.

  Correct Answer: C

  Let's write the equations that come from the data: define x as the number of tires of "Tires R' us" and y as

  number of tires of the regular shop.

  X = 4Y and X -122 = 3Y X= 488, Y=122. X -Y = 366.

• Question 535:

  Lilac has three times more Barbie dolls than Orly. If Lilac gives 6 dolls to Nirit, she would have 21 dolls left. How many dolls does Orly have?

  A. 5.

  B. 7.

  C. 9.

  D. 11.

  E. 13.

  Correct Answer: C

  The easiest way to solve such problems is by back-solving it. Take answer C: If Orly has 9 dolls then Lilac has 27. If Lilac would give away 6 dolls she would really have 21 dolls left.

• Question 536:

  An average teenager sleeps from 23:00 P.M till 7:30 in the morning of a schools night and on the weekend, which is Friday and Saturdays he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?

  A. 48.75/168.

  B. 52.5/120.

  C. 17/42.

  D. 55.5/168.

  E. 15/38.

  Correct Answer: C

  In one week there are (24 x 7 =168) hours.

  The average teenager sleeps 8.5 hours on weekdays and (1.5 x 8.5 = 12.75) hours on the weekend.

  Altogether, the total sleeping time per one week is (8.5 x 5 + 12.75 x 2 = 68).

  The fractional part of the sleep is (68/168 = 17/42.

• Question 537:

  The number 12 bus is working from 6:00 in the morning to 10:00 P.M on weekdays only. On Saturdays and Sundays the bus goes to the garage 3 times a day for upgrading, each time for 3 hours. For what fraction part of the entire week is the bus on the road?

  A. 5/12.

  B. 4/7.

  C. 7/9.

  D. 6/11.

  E. 7/12.

  Correct Answer: E

  In one week there are (24 x 7 =168) hours.

  The bus is on the road everyday, on weekdays he is 16 hours on the road and on Saturdays and Sundays

  he drives for 9 hours each day. The total amount of hours is (16 x 5 + 18 = 98). The fraction part of the

  week is (98/168 = 7/12).

• Question 538:

  A student is studying for a test from 11:00 A.M to 20:00 P.M on weekdays and one third of that time on Saturdays, on Sundays he takes a break from school and goes fishing. For what fractional part of the entire week is the student studying?

  A. 2/5.

  B. 3/7.

  C. 2/7.

  D. 3/8.

  E. 5/2.

  Correct Answer: C

  On weekdays, the student studies for 9 hours, on Saturdays 3 hours. In one week the student studies for

  (5 x 9 + 3 = 48). The total number of hours in one week is (24 x 7 = 168).

  48 hours / 168 total hours = 2/7.

• Question 539:

  Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the differences in their height are equal to their average height, what is the Value of H/L?

  A. 1/3.

  B. ½.

  C. 2.

  D. 3.

  E. 6.

  Correct Answer: D

  If the difference is equal to the average, then we could write the equation: H ?L = (H+L)/2. H -3L = 0 H/L = 3.

• Question 540:

  The width of a cube is half the length and one third of the height. If the length of the cube is 4 meters, what is the volume of three identical cubes?

  A. 96.

  B. 88.

  C. 74.

  D. 68.

  E. 62.

  Correct Answer: A

  Normalize all the dimensions to the width. Let the width be X.

  The length is twice the width, thus 2X.

  The height is 3 times the width, thus 3X.

  The volume of the cube is = 6X3.

  The length is equal to 4 2X = 4 X = 2 Volume = 6 x 8 = 48.

  The volume of two cubes will be 96.