Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 651:

  If a cube has a volume of 64 cubic feet, what is its lateral area?

  A. 16

  B. 24

  C. 48

  D. 64

  E. 96

  Correct Answer: D

  The side of a cube equals the cubic root of its volume; in this question it is 4. The lateral area of a cube equals the sum of four faces; in this question each face is 16, and the lateral area is four times that, giving 64

• Question 652:

  Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 8:00 am and Pipe B at 9:00 am, at what time will the pool be full?

  A. 15:00

  B. 17:00

  C. 18:00

  D. 19:00

  E. 20:00

  Correct Answer: C

  From 8:00 am to 9:00 am, Pipe A, which fills the pool in 4 hours, was open for one hour, filling one quarter of the pool. From 9:00 am, the two Pipes worked together at the rate of:

  

  , one pool in 12 hours. Since the pool was already one quarter full at 9:00 am, it will take only 9 hours to fill the remaining three quarters of the pool. 9 hours from 9:00 am is 18:00.

• Question 653:

  A storeowner estimates that the average price of type A products will increase by 25% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?

  A. $14,755

  B. $15,325

  C. $16,000

  D. $16,225

  E. $17,155

  Correct Answer: A

  The total estimated amount that will be spent on type A product next year:

  

  .

  The total estimated amount that will be spent on type B product next year:

  

  Giving a total spending of $14,755.

• Question 654:

  An investment yields an interest payment of $68 each week. If the simple annual interest rate is 7.5%, what is the amount of the investment assuming there only 48 weeks are calculated in a year?

  A. $28,600

  B. $30,430

  C. $34,330

  D. $37,860

  E. $43,520

  Correct Answer: E

  Principal × percent interest = interest earned

  Principle × (0.075) × 1/(12 x 4) = $68. Solve to find the principal (68 × 12 x 4)/0.075= $43,520.

• Question 655:

  The flying acrobatic team is made up of 120 airplanes. The team wants to form a rectangular formation with X planes in a row and Y planes in a column. If the number of airplanes in a row is no less than 4 and no more than 30, how many different combinations of rectangular shapes are possible?

  A. 4.

  B. 5.

  C. 6.

  D. 8.

  E. 10.

  Correct Answer: E

  Use the factors of 120 are: 1x120, 2x60, 3x40, 10x12, 4x30, 5x24, 6x20 and 8x15. We are looking for combinations of (row x column) that are all between 8 and 30. The possibilities are: 8x15, 15x8, 4x30, 30x4, 5x24, 24x5, 6x20, 20x6, 10x12 and 12x10. That is 10 possibilities total.

• Question 656:

  Two integers are in the ratio of 1 to 4. If 6 is added to the smaller number, the ratio becomes 1 to 2. Find the larger integer.

  A. 4

  B. 6

  C. 12

  D. 24

  E. 30

  Correct Answer: D

• Question 657:

  The measure of the side of a square is tripled. If x represents the perimeter of the original square, what is the value of the new perimeter?

  A. 3x

  B. 4x

  C. 9x

  D. 12x

  E. 27x

  Correct Answer: A

  Since x represents the perimeter of the original square, 3x represents the perimeter of the new square. If each side is tripled, the perimeter also triples.

• Question 658:

  If a person randomly guesses on each question of a test with n questions, what is the probability of guessing half of the questions correctly if each question has five possible answer choices?

  A. 5n

  B. 1 5/2n

  C. 1 1/5 2n

  D. 1 1/5 2n/2

  E. 1 1/5 22n

  Correct Answer: D

  times, or 1

• Question 659:

  A rectangular swimming pool is 20 feet by 28 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 884 square feet. What is the width of the deck?

  A. 2 feet

  B. 2.5 feet

  C. 3 feet

  D. 4 feet

  E. 5 feet

  Correct Answer: C

  Since we are trying to find the width of the deck, let x = the width of the deck. Therefore, x + x + 20 or 2x + 20 is the width of the entire figure. In the same way, x + x + 28 or 2x + 28 is the length of the entire figure. The area of a rectangle is length × width, so use A = l × w. Substitute into the equation: 884 = (2x + 20)(2x + 28) Multiply using FOIL: 884 = 4x2 + 56x + 40x + 560 Combine like terms: 884 = 4x2 + 96x + 560 Subtract 884 from both sides: 884 – 884 = 4 x2 + 96x + 560 – 884 0 = 4x2 + 96x – 324 Divide each term by 4: 0 = x2 + 24x – 81 Factor the trinomial: 0 = (x + 27)(x – 3) Set each factor equal to zero and solve: x + 27 = 0 or x – 3 = 0 x = –27 x = 3 Since we are solving for a length, the solution of –27 must be rejected. The width of the deck is 3 feet.

• Question 660:

  A. .20

  B. .5

  C. 2

  D. 5

  E. 20

  Correct Answer: D

  

  0.2 divided by 0.04 is the same as 20 divided by 4, which is equal to 5.