Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 551:

  The value of a "Tin-Rin" stock in the stock market decreased by 15% in the last two years.

  The economic experts believe that the value of the stock will increase by 7% during the following year, which will make the value $440. What was the approximate price of the stock two years ago?

  A. $473.

  B. $464.

  C. $455.

  D. $445.

  E. $430.

  Correct Answer: A

  Start from the top, after a 7% increase the price of the stock is $440. 440 are 107% of the price this year (440/107 x 100 = 411.215). Two years ago the price was 15% higher, therefore (411.215 x 1.15) is approximately $473.

• Question 552:

  The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was $11,500?

  A. $15,594.

  B. $15,322.

  C. $14,786.

  D. $14,543.

  E. $12,988.

  Correct Answer: A

  The price in 1990 was 11,500. In 1996 the price is (11,500 x 1.13 = 12,995). The price we are looking for, in 2002, is (12,995 x 1.2 = $15,594).

• Question 553:

  A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased her price by $1,500. If the price of the car in 1996 was $22,000, what is the car's price in 2002?

  A. $18,400

  B. $19,500

  C. $20,200

  D. $20,400

  E. $21,100

  Correct Answer: C

  The price of the car decreased by 2.5% every year on a course of 6 years. That means that the price of the car in 2002 is 15% lower than the original + $1500 of new investments. The new price is ($22,000 x 0.85 = 18,700 + 1500 = $20,200).

• Question 554:

  Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?

  A. 24.

  B. 28.

  C. 36.

  D. 42.

  E. 48.

  Correct Answer: A

  You want to waste as little amount of space as possible, therefore make the height of the box 11 and fit 4 boxes at the bottom so you lose only 1 inch of margin at the top and on one of the sides. You can see that 8 tubes can fit into one box thus 24 tubes fit into 3 boxes.

• Question 555:

  In the equation 4Y -3kX = 18, k is a constant and Y equals 42 when X equals 12.

  What is the approximate value of X when Y equals 36?

  A. 5.

  B. 10.

  C. 15.

  D. 20.

  E. 25.

  Correct Answer: B

  First, find the constant k. Plug in the numbers for X and Y, to receive 4 x 42 -3k x 12 = 18 k = (18 -168)/36

  = -25/6.

  Now, plug in the value of Y to receive: 4 x 36 -3kX = 18 after a little math, X is equal to 10.08, therefore the

  approximate answer is 10.

• Question 556:

  In the equation (X + Y = k), k is a constant and X equals 13 when Y equals 23.5.

  What can be the value of X2 when Y2 is equal to 36?

  A. 456.5.

  B. 673.25.

  C. 830.75.

  D. 890.35.

  E. 930.25.

  Correct Answer: E

  First, find the constant k. Plug in the numbers to get k = 13 + 23.5 = 36.5. Now, Y2 = 36 Y = 6 or (-6). Plug

  both numbers to get X = 30.5 or X = 42.5.

  The best answer is E, (30.5)2 = 930.25.

• Question 557:

  A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?

  A. 392.

  B. 412.

  C. 432.

  D. 502.

  E. 522.

  Correct Answer: A

  You can use the answers to back-solve the question or you could write the equations. Take 392 pastry goods and divide them by 28 customers, each one will receive 14 products. If there were 49 customers, each one would receive (392/49 = 8), which is 6 less.

• Question 558:

  A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples did each person get before 45 people joined the feast?

  A. 20.

  B. 21.

  C. 22.

  D. 23.

  E. 24.

  Correct Answer: C

  Try to back-solve the problem. (1430/22 = 65) people, if 45 came then there are 110 people. (1430/110 = 13) apples, which is 9 apples less per person.

• Question 559:

  A(5, w3) is the (x, y) coordinate of point located on the parabola Y = X2 + 2.

  What is the value of w?

  A. 3.

  B. 4.

  C. 5.

  D. 6.

  E. 9.

  Correct Answer: A

  Plug into the equation the coordinate to get: w3 = 52 + 2 = 27 w = 3.

• Question 560:

  A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?

  A. 20.

  B. 21.

  C. 22.

  D. 23.

  E. 24.

  Correct Answer: C

  You can back-solve it. 264 marbles divided by 22 (answer C) is 12 marbles per person. If two people join, there will be 24 people, 264/24 is 11, which is 1 marble less.