Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 521:

  A cruise ship traveled for 3 hours. In the first hour, the ship sailed at a speed of 25 Km/h, which was 25% faster than the speed in the third hour. In the middle hour the ship sailed at the average speed of the first and third hours. What was the total instance of the ship during the 3 hours of sailing?

  A. 65.

  B. 66.5.

  C. 67.5.

  D. 70.

  E. 72.5.

  Correct Answer: C

  The distance in the first hour is 25 Km.

  The speed in the third hour is (25/1.25 = 20 Km/h) and therefore the distance is 20 Km. The average

  speed is 22.2 Km/h and that is also the distance.

  The total distance is 25 + 20 + 22.5 = 67.5 Km.

• Question 522:

  A train traveled for three hours. In the first hour the train traveled 86 miles, which was 25% farther than it traveled in the first hour. In the third hour the train traveled at a speed of 120 miles per hour for 20 minutes. What is the total distance that the train traveled?

  A. 190.6.

  B. 194.8.

  C. 198.2.

  D. 204.5.

  E. 212.8.

  Correct Answer: B

  In the first hour it traveled 86 miles.

  In the second hour it traveled x miles, x + 0.25x = 86 x= 68.8 miles. In the third hour it traveled (120 x 1/3 =

  40) miles. The total distance is (86 + 68.6 + 40 = 194.8) miles.

• Question 523:

  If all values of X such as (0 < X < 1), which can be the least?

  A. 0.

  B. X.

  C. X2.

  D. (X -1)2.

  E. X3.

  Correct Answer: E

  Since X is a fraction between 0 and 1, the smallest answer will be that of the highest power, since all the answers are positive. Therefore E. is the smallest possible. Pay attention to answer (d), it's the same as (c); it's a fraction between 0 and 1 squared.

• Question 524:

  If R is between (-2) and (2), which of the following can be the greatest?

  A. (1/R).

  B. R2.

  C. R3.

  D. R4.

  E. 32.

  Correct Answer: A

  If we can choose any number between (-2) and (2), choose a really small number, for example (1/100) plug it in answer (a), (1/1/100) = 100 none of the other answers can be larger.

• Question 525:

  W is between (-1) and (0), which of the following is least?

  A. W.

  B. W2.

  C. 1/W.

  D. (1/W)2.

  E. 0.

  Correct Answer: C

  Try a number between ? and 0, for example ?/2.

  –1/2.

  ¼.

  –2.

  4.

  0.

  The smallest number is –2.

• Question 526:

  X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?

  1.

  (X + Y) is an odd number.

  2.

  Y(X + Y) is an integer.

  3.

  XY is a positive number.

  A. 2 only.

  B. 3 only.

  C. 1 and 3 only.

  D. 2 and 3 only.

  E. 1, 2 and 3.

  Correct Answer: D

  Find opposing examples for each of the statements.

  1: An odd number + an even number are always an odd number.

  2: Try the numbers: X=-4, Y=3 3(-1) = 1/3 which is not an integer.

  3: Try the numbers: X=-2, Y=3 XY = (-2)3 = -8, which is not positive. Statements 2 and 3 are not necessarily true.

• Question 527:

  If X and Y are consecutive numbers (Y>X), which of the following statements could be false?

  1.

  The multiplication XY is an even number.

  2.

  (Y/X) > 1.

  3.

  (X + Y) is always an odd number.

  A. 1 only.

  B. 2 only.

  C. 1 and 2 only.

  D. 1 and 3 only.

  E. 1, 2 and 3.

  Correct Answer: B

  Let's go over each statesman's at a time.

  1, the multiplication of two consecutive numbers is always an even number. 2, Try x=2, y=3 In this case 3/2

  is bigger than 1 but if you choose x=-3, y=-2, y/x is 2/3 and that's smaller than 1. Therefore this statement

  is not always true. 3, the sum of two consecutive numbers is always odd, try some numbers.

  Therefore, only statement 2 is false.

• Question 528:

  If A and B are two prime numbers bigger than 2, which of the following can't be true?

  (1)

  A + B is an even number.

  (2)

  A x B is also a prime number.

  (3)

  AB is also a prime number.

  A.

  1 only.

  B.

  2 only.

  C.

  3 only.

  D.

  2 and 3 only.

  E.

  1, 2 and 3.

  Correct Answer: D

  Try to find opposing examples to the statements.

  1.

  Pick A=7, B=13 A+B = 20, this is an even number.

  2.

  Try A=3, B=7 AB=21, and 21 is not a prime number.

  3.

  Try A=3, B=5 AB = 35= 3 x 3 x 3 x 3 x 3 = a number which is dividable by 3 and 9 and therefore is not a prime number. Statements 2 and 3 can't be true, the answer is D.

• Question 529:

  A grocery store ordered a delivery of fresh milk products that contained 45 milk bottles, 24 cheese packs and 23 cartons of chocolate milk. If the chocolate milk carton costs like a bottle of milk, which is three times the price of a cheese pack, what fraction of the cost of the entire purchase was the cost of 20 bottles of milk, 1 pack of cheese and 5 chocolate milk cartons?

  A. 1/6.

  B. 2/5.

  C. 1/4.

  D. 1/3.

  E. 3/7.

  Correct Answer: D

  Let X is the price of a pack of cheese.

  The price of the entire purchase is (45 x 3)X + 24X + (23 x 3)X = 228X. The specific required purchase is

  60X + X + 15X = 76X. The fraction of the specific purchase and the entire purchase is 76/228 = 1/3.

• Question 530:

  The East-17 pre-school is upgrading all of his classrooms by buying 46 computers, 6 printers and 5 fax machines. If a computer costs 4 times more than a printer and 2 times more than the fax machine, what percent of the cost of the entire purchase was the cost of one computer, 2 printers and 1 fax machine?

  A. 1%.

  B. 2%.

  C. 3%.

  D. 4%.

  E. 5%.

  Correct Answer: D

  Let's define the price of a printer as X, the computer costs 4X and the fax costs 2X. The total price of all the

  merchandise is (46 x 4)X + 6X + 10X = 200X. The specific group that was asked upon is worth 4X + 2X +

  2X = 8X.

  The percentage of the price is (8/200) 4%.