Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 491:

  Naomi drives to the beauty parlor in 60 minutes. On the way back, her average speed is half the average speed as it was to the way to the parlor. How much time will it take Naomi to travel two round trips to the beauty parlor?

  A. 3 hours.

  B. 4 hours.

  C. 4 hours and 20 minutes.

  D. 5 hours and 50 minutes.

  E. 6 hours.

  Correct Answer: E

  If the average speed from the beauty parlor is half of the average speed to the parlor then the time back

  from the parlor is twice the time it takes her to get to the parlor, thus 120 minutes. The total round trip will

  take Naomi (60 + 120 = 180) minutes, which is 3 hours.

  Two round trips will take her 6 hours.

• Question 492:

  The average (arithmetic mean) of four numbers is equal to three times the largest number. If the largest number is equal to 3, what is the sum of the other three numbers?

  A. 28.

  B. 33.

  C. 35.

  D. 38.

  E. 42.

  Correct Answer: B

  Let's say the four numbers are: X, Y, Z and W.

  The average of all four numbers is equal to 3 times the value of the largest number:

  (X+Y+Z+W)/4 = 3W. W is equal to 3 and therefore (X+Y+Z+3) = 3 x 9 X+Y+Z = 36-3 = 33.

• Question 493:

  What is the reciprocal of (AB)/(A + B)2 ?

  A. (AB)/(A2 + 2AB + B2).

  B. A/B + B/A + AB.

  C. B/A + A/B + 2.

  D. (A2 + B2)/AB.

  E. A/B + 2AB.

  Correct Answer: C

  The reciprocal of X is 1/X and therefore the reciprocal of (AB)/(A + B)2 is (A + B)2/AB. Simplify the expression: (A + B)2/AB = (A2 + 2AB + B2)/AB = A/B + B/A + 2.

• Question 494:

  Rick deposited $850 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar bills did he deposit?

  A. 5.

  B. 25.

  C. 50.

  D. 55.

  E. 65.

  Correct Answer: D

  Rick came to the bank with 70 bills and left with 10 and therefore he deposited 60 bills. Define X as the

  number of $5 dollar bills that he deposited and so (60-X) is the number of $15 bills that he deposited.

  We can write the following equation: 5X + 15(60-X) = 850 -10X = -50 X = 5.

  The number of $15 dollar bills is (60-5) 55.

• Question 495:

  John bought grocery products for 10 dollars using 55 coins. If John used quarters and dimes, what is the difference between the numbers of dimes to the number of quarters that he used?

  A. 5.

  B. 10.

  C. 15.

  D. 25.

  E. 30.

  Correct Answer: A

  Define X as the number of dimes that John used. Just a reminder, dimes are 10 cents coins. The number

  of quarters that he used is (55 -X). We can write the following equation:

  10X + 25(55 -X) = 1000. Notice that 1000 is the money he spent in cents.

  Therefore (-5X = -375) X = 25.

  The number of dimes is 25 and the number of quarters is (55-25 = 30).

  The difference between the amounts is 5 coins.

• Question 496:

  The angles of a triangle are in the ratio of 3: 2: 1. The largest angle in the triangle is:

  A. 36.

  B. 45.

  C. 72.

  D. 90.

  E. 108.

  Correct Answer: E

  The sum of all the angles is 180. Divide 180 by 6 (3+2+1) and we'll get 36; this is the size of the smallest angle. The largest angle is three times bigger, thus 36 x 3 = 108 degrees.

• Question 497:

  The perimeter of a circle is approximately 6.3 centimeters. The area of the same circle is A. which of the following is true?

  A. 1 < A < 2.

  B. 2 < A < 3.

  C. 3 < A < 4.

  D. 4 < A < 5.

  E. A > 5.

  Correct Answer: C

  The perimeter of a circle is , cm. Therefore A is approximately pie (3.14).

• Question 498:

  Two adjacent angles of a parallelogram are in the ratio of 2:3. What is their average size?

  A. 30.

  B. 40.

  C. 45.

  D. 90.

  E. 180.

  Correct Answer: D

  The ratio doesn't give us anything, two adjacent angles of a parallelogram always sum up to 180 degrees. And 180/2 is always 90 degrees.

• Question 499:

  Two adjacent angles of a parallelogram are in the ratio of 1:3. What is the smaller angle of the two?

  A. 30.

  B. 45.

  C. 90.

  D. 135.

  E. 180.

  Correct Answer: B

  The sum of two adjacent angles in a parallelogram is 180. 180 divided by 4(1+3) is 45 and that is the size of the smallest among the angles.

• Question 500:

  A car is driving at 60 Km/h for 20 minutes, and then drives at 90Km/h for another 40 minutes. What is the average speed of the car?

  A. 80.

  B. 75.

  C. 70.

  D. 65.

  E. 54.

  Correct Answer: A

  The average speed is equal to: (Total distance)/(Total time) = (60 x 1/3 + 90 x 2/3)/1 = 80 Km/h.