Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 691:

  Scott's average (arithmetic mean) golf score on his first four rounds was 78.What score does he need on his fifth round to drop his average score by 2 points?

  A. 68

  B. 72

  C. 78

  D. 88

  E. 312

  Correct Answer: A

  If the average of four rounds is 78, then the total points scored is 78 ?4 = 312. If his score were to drop 2 points that means his new average would be 76. A 76 average for five rounds is a total of 380 points. The difference between these two point totals is 380 ?312 = 68. He needs a score of 68 on the fifth round.

• Question 692:

  If the least common multiple of two prime numbers x and y is 10, where x > y, then the value of 2x + y is

  A. 7

  B. 9

  C. 11

  D. 12

  E. 21

  Correct Answer: D

  The only prime numbers that satisfy this condition are 2 and 5. Since x > y, x = 5 and y = 2. Therefore, by substitution, 2 (5) + 2 = 10 + 2 = 12.

• Question 693:

  What is the product of 6% and 14%?

  A. 0.00084

  B. 0.0084

  C. 0.084

  D. 0.84

  E. 8.4

  Correct Answer: B

  Convert 6% to its decimal equivalent of 0.06 and 14% to 0.14. The key word "product" tell you to multiply, so 0.06 0.14 = 0.0084, which is choice b.

• Question 694:

  A taxicab fare costs x dollars for the first quarter of a mile and ¼x dollars for each quarter of a mile after that. How much will the total cost be for a 2½ mile ride?

  A. 3x

  B. 13/4x

  C. 10x

  D. 5/4x

  E. 2.5x

  Correct Answer: B

  2½ miles divided by 1/4 is ten quarter miles. Since the first quarter mile costs x amount, the other nine quarter miles cost 1/4 x, so 9 × 1/4x = 9/4 x.x + 9/4x = 4/4x + 9/4x = 13/4x.

• Question 695:

  If (4 # 2 = 14) and (2 # 3 = 6), what can replace (a # b)?

  A. a b.

  B. (a+3) b

  C. a2 – b.

  D. ab –2.

  E. ba + 1.

  Correct Answer: D

  Plug in the answers.

  A. (4 # 2) = 8. The answer should be 14.

  B. (2 # 3) = (2 + 3)3 = 15. The answer should be 6.

  C. (2 # 3) = (22 – 3) = 1. The answer should be 6.

  D. (4 # 2) = (42 – 2) = 14. This is the right answer; check (2 # 3) also. The correct answer is D.

• Question 696:

  In a rectangular coordinate system, what is the square root of the area of a trapezoid whose vertices have the coordinates (2, -2), (2, 3), (20, 2), (20, -2)?

  A. 7.5

  B. 9

  C. 10.22

  D. 12.25

  E. 14

  Correct Answer: B

  Draw the x and y-axes, then plot the points and connect them. The area of a trapezoid is (base1 + base2)

  x (height) / 2. Base1 = 5, base2 = 4, height = 18 thus the area is 9 x 9 = 81. The answer to the question is

  the square root of 81, meaning 9.

  The correct answer is B.

• Question 697:

  George can fill Q cans of paint in 3 minutes. If there are R cans of paint in one gallon, how many gallons can George fill in 45 minutes?

  A. 30R/Q.

  B. 15R/Q.

  C. 30Q/R.

  D. 5Q/R.

  E. 15Q/R.

  Correct Answer: E

  George can fill Q/3 cans of paint in one minute There are R cans in one gallon, so R/(Q/3) = 3R/QIs the time it takes George to fill one gallon (in minutes). In 45 minutes George can fill up 45/ (3R/Q) = 15Q/R. The correct answer is E.

• Question 698:

  From the starting point in a boat race, one competitor started to sail north at a speed of 1.6 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?

  A. 10.

  B. 12.

  C. 12.5.

  D. 14.

  E. 15.4.

  Correct Answer: A

  One is going north and the other is going west. The distance can be calculated using the Pythagorean theorem. One made a distance of 1.6 x 5 = 8 Km, The second one did 1.2 x 5 = 6 Km. The distance between them is the square root of (64 + 36) = 10 Km. The best answer is A.

• Question 699:

  In a barrel of juice there is 30 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?

  A. 3:2.

  B. 2:1.

  C. 3:1.

  D. 4:3.

  E. 3:4.

  Correct Answer: B

  Pick numbers: a barrel of beer costs $40 and a barrel of juice costs $30 according to the given ratio. One liter of beer will cost $0.5 and one liter of juice will cost $1. Therefore the price ratio is 2:1. The correct answer is B.

• Question 700:

  What is 0.01 x 5 x 0.03 in terms of percent?

  A. 15%

  B. 1.5%

  C. 0.15%

  D. 0.015%

  E. 0.0015%

  Correct Answer: C

  Since 0.01 and 0.03 each have 2 decimal places, their product must have 4 (2 + 2) decimal places. Because 1 x 3 x 5 is 15, you need to add 2 zeros to get the correct number of decimal places, so the product of 0.01, 5 and 0.03 is 0.0015. To change a decimal to a percentage you multiply by 100 and move the decimal point 2 places to the right, so 0.0015 is 0.15%. The correct answer is C.