Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 541:

  Two brothers took the GMAT exam, the higher score is X and the lower one is Y.

  If the difference between the two scores is equal to their average, what is the value of Y/X ?

  A. 3.

  B. 2.

  C. ½.

  D. 1/3.

  E. There isn't enough data to answer the question.

  Correct Answer: D

  If the difference is equal to the average, then we could write the equation: X -Y = (X +Y)/2. X -3Y = 0 Y/X = 1/3.

• Question 542:

  Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, How many cases can Kramer pack in 2 hours?

  A. 60X/Y.

  B. 120X/Y.

  C. 60Y/X.

  D. 120Y/X.

  E. (X + Y)/60.

  Correct Answer: B

  Y/X is the time it takes Kramer to fill a case with boxes (in minutes). In two hours there are 120 minutes, so 120/(Y/X) is 120X/Y, and that is the number of cases that Kramer can fill in two hours.

• Question 543:

  The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 784 feet squared, what is the difference between the length and the width of the roof?

  A. 38.

  B. 40.

  C. 42.

  D. 44.

  E. 46.

  Correct Answer: B

  The area of a rectangle is (length) x (width), let X be the width of the roof 4X2 = 784 X2 = 196 X = 14. The width of the roof is 14 and the length is 56. The difference is (56-14 = 42).

• Question 544:

  The length of a cube is three times its width and half of its height. If the volume of the

  Cube is 13,122 Cm cubed. What is the height of the cube?

  A. 49.

  B. 50.

  C. 54.

  D. 68.

  E. 81.

  Correct Answer: C

  Normalize each dimension to the width of the cube (W). The length is 3 times the width, therefore its 3W, which is half of the height (6W). The volume of the cube is 13,122 = 6W x 3W x W = 18W3 W3 = 729 W =

  9. The height of the cube is six times the width, therefore its 54 meters.

• Question 545:

  In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is X equal to?

  A. 69.

  B. 71.

  C. 73.

  D. 75.

  E. 76.

  Correct Answer: C

  Use the group formula.

  Total = groupA + groupB Both + Neither.

  Total = 32 + 45 -13 + 9 = 73 graduates.

• Question 546:

  At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?

  A. 424.

  B. 428.

  C. 430.

  D. 432.

  E. 436.

  Correct Answer: D

  Use the group formula.

  Total = groupA + groupB Both + Neither.

  Total = 312 + 232 -112 + 0 = 432 students.

• Question 547:

  In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?

  A. 515.

  B. 545.

  C. 618.

  D. 644.

  E. 666.

  Correct Answer: D

  Use the group formula.

  Total = groupA + groupB Both + Neither.

  Total = 226 + 423 -134 + 0 = 515 second year students. The second year students are 80% of the total

  amount, therefore (515/80 x 100 = 643.75).

  The best answer is D.

• Question 548:

  Which of the following expressions is equivalent to ?

  A. X < 4.

  B. X > 4.

  C. X > -4.

  D. 4 < X < -4.

  E. ?<; X<; 4.

  Correct Answer: E

  An absolute value means that the sign of the variable is insignificant, therefore X can be between ? and 4 and still he will fulfill the original equation.

• Question 549:

  Which of the following statements is equivalent to (8 + 2X < 18 -6X<; 23 + 2X) ?

  A. 4/5 < X < 2.5.

  B. 4/5 < X < 8/5.

  C. -5/8 < X < 5/4.

  D. 2.5 < X < 3.5.

  E. 5 < 8X < 12.

  Correct Answer: C

  Take the expression and simplify it: Take (8 + 2x) from each side to get: (0<10 -8<;15).

  Substitute 10, -10<-8X<5.

  Divide all by (-8), 5/4 > X > -5/8. Therefore the answer is C.

• Question 550:

  The apartment on King-Williams street is an asset that its value is tramping about.

  From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $40,000?

  A. $38,796.

  B. $40,000.

  C. $38,976.

  D. $39,679.

  E. $36,796.

  Correct Answer: C

  Be careful, the value of the asset didn't stay the same after the two changes in the value. In the first 10

  years, the value decreased by 16% (40,000 x 0.84 = 33,600). Then, in the next ten years the value

  increased by 16% (33,600 x 1.16 = 38,976).

  Therefore the answer is C.