Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 641:

  A cube has three of its faces painted half red, half white. The other three faces are completely painted white. What is the ratio between the total red painted and the total white painted areas of the cube?

  A. 1:6

  B. 3:6

  C. 1:2

  D. 1:4.5

  E. 1:3

  Correct Answer: E

  The red painted area is 3 half faces and the white painted area is a total of 9 half faces. The ratio is, therefore, 1 to 3.

• Question 642:

  John has $1,600 at the beginning of his trip, after spending money, he still has exactly $800 less than he spent on the trip. How much money does John still have?

  A. $200

  B. $400

  C. $600

  D. $800

  E. $1,200

  Correct Answer: B

  John spends a sum of m dollars and still has m-800 left. So, m+m-800=1,600, and m=$1,200. Therefore, John still has $1,600-$1,200=$400.

• Question 643:

  In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers preceding it. What is x+y?

  A. -5

  B. -1

  C. 1

  D. 5

  E. 6

  Correct Answer: C

  First find z: z+5+7=16, therefore, z=4. Now, y+4+5=7 making y=(-2). Now we can find x: x+(-2)+4=5, so, x=3. Hence, x+y=3+(-2)=1.

• Question 644:

  If

  

  =

  , what is x?

  A. 9

  B. 8

  C. 7

  D. 6

  E. 5

  Correct Answer: E

  

  . And x=5

• Question 645:

  The sum of the volumes of three spheres, each with radius r, equals to the volume of a single sphere with radius R. What is the ratio between r and R?

  A. 1:

  B. 1:

  C. 1:2

  D. 1:

  E. 1:3

  Correct Answer: A

  

  Compare the volumes:

• Question 646:

  A car travels a distance of 160 miles in 2 hours and 40 minutes, what is the speed of the car in miles per hour?

  A. 54

  B. 60

  C. 84

  D. 116

  E. 120

  Correct Answer: B

  The car travels 160 miles in 160 minutes that is 1 mile per minute. So, it travels 60 miles in 60 minutes, or 60 miles per hour.

• Question 647:

  A restaurant spends one quarter of its monthly budget for rent and half of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?

  A. 23.5%

  B. 32.5%

  C. 35%

  D. 37.5%

  E. 75%

  Correct Answer: D

  After spending one quarter of the budget on rent, 75% is left, of that half = 37.5% is spent for food and beverages.

• Question 648:

  The "Racing magic" takes 120 seconds to circle the racing track once. The "Charging bull" makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?

  A. 3

  B. 6

  C. 9

  D. 12 E. 15

  Correct Answer: D

  The rate of the "racing magic" is 40 rounds per hour, or 1 round every 1.5 minutes. The rate of the "Charging bull" is 1 round every 120 seconds, or 1 round every 2 minutes. The best way to solve such a question is to find the least common denominator between the two rates. At that point, they will meet for the first time, and when multiplied by 2, we find the second

  

  =

  

  . They will meet for the first time after 6 minutes and for the second time after 12 minutes.

• Question 649:

  A 48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?

  A. 8

  B. 12

  C. 13

  D. 14

  E. 16

  Correct Answer: B

  

• Question 650:

  In a school with 5 classes, each class has 2 students less then the previous class. How many students are there in the largest class if the total number of students at school is 95?

  A. 17

  B. 19

  C. 21

  D. 23

  E. 25

  Correct Answer: D

  If X is the number of students in the largest class, then the numbers of students in the other classes are: X2, X-4, X-6 and X-8. The total number of students is:

  

  5X=115 X=23