Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 571:

  If A,B and C are roots of the equation X3 -16X2 +48X, what is the sum of the roots?

  A. 16.

  B. 14.

  C. 17.

  D. 18.5.

  E. 22.5.

  Correct Answer: A

  The equation can be written as: X(X2 -16X +48) = X(X -12)(X ?4). The roots of the equation are: 0,4 and

  12. The sum of the roots is 16.

• Question 572:

  If R is a root of the equation X2 +3X -54, than which of the following equations have also the root R ?

  A. X2 -12X +27.

  B. X2 -6X -16.

  C. X2 -10X -31.25.

  D. X2 -15X + 54.

  E. X2 + 10X + 16.

  Correct Answer: D

  The original equation is X2 + 3X ?54, it can be written as (X -6)(X + 9). The roots are 6 and (-9). We are looking for an equation that has one of the same roots. Answer D: X2 -15X +54 = (X -6)(X -9) This equation has the root 6. All the other answers have different roots than the original equation.

• Question 573:

  Simba borrowed $12,000 from his brothers so he can buy a new sports car. If Simba returns 4.5% of that amount every 2 weeks, after how many months Simba wouldn't owe his brothers any more money?

  A. 8.

  B. 12.

  C. 15.

  D. 18.

  E. 20.

  Correct Answer: B

  Simba gives (0.045 x 12,000 = 540) to his brothers every 2 weeks, in a month he gives (540 x 2 = 1080). (12,000/1,080 is a little over 11), therefore after 12 months he won't owe any more money.

• Question 574:

  Dana borrows 5500 pounds annually for her college education. If Dana gives her parents 3% of that amount back each month, how much will she still owe her parents after four years of college?

  A. 12,430.

  B. 13,640.

  C. 14,000.

  D. 14,080.

  E. 15,020.

  Correct Answer: D

  Dana takes 5500 each year and returns (0.03 x 5500 = 165) each month, which is (165 x 12 = 1980) each passing year. That means that each year Dana owes her parents (5500 -1980 = 3520) pounds. After 4 years in college she will owe them (4 x 3520 = 14,080) pounds.

• Question 575:

  Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to the bank. If the tax on the money Rusty owes is compounded quarterly by 0.25% starting before Rusty paid the first payment, how months would it take poor Rusty to reach a point where he owes the bank no more than 1 million dollars?

  A. 3.

  B. 6.

  C. 9.

  D. 12.

  E. 15.

  Correct Answer: B

  Every three months Rusty gives the bank $40,000. After the first quarter the bank took (0.0025 x 1040000 = 2600) and Rusty paid $40,000 so the new Debt is now (1,040,000 - 40,000 + 2,600 = 1,002,600). After the second quarter the bank took (0.0025 x 1002600 = 2506.5) and Rusty paid again $40,000 so the new Debt is now (1,002,600 -40,000 + 2506.5<; 1 million dollars).

• Question 576:

  In the third grade of Windblown School there are 108 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?

  A. 0.

  B. 6.

  C. 8.

  D. 10.

  E. 12.

  Correct Answer: A

  (1/3 x 108 = 36) failed the math test.

  (1/6 x 108 = 18) failed that literature test.

  The least amount of people that failed both tests is (18 + 36 ?08 = -54), there can't be an negative

  Overlapping between the groups so the least amount of people who failed both tests is zero.

• Question 577:

  If 1/X = 2.5, then what is the value of 1/(X -2/3)?

  A. 2.25.

  B. ?.5.

  C. ?.75.

  D. 1.75.

  E. 3.75.

  Correct Answer: C

  If 1/X is 2.5 or 5/2 then X = 2/5.

  1/(2/5 -2/3) is 1/(6/15 -10/15) = -15/4 = -3.75.

• Question 578:

  Travis is working as a programmer of IBW. Travis earns $3,500 annually.

  If Travis pays 2.5% of that amount quarterly to support groups and he paid $525 so far, for how many years now has Travis been paying?

  A. 2.

  B. 2.5.

  C. 4.

  D. 5.5.

  E. 6.

  Correct Answer: B

  Travis pays 2.5% of 3500, which is $87.5 every 3 months (quarterly). (525/87.5 = 6), therefore Travis has been paying for (6 x 3 = 18) months now, that is 2.5 years.

• Question 579:

  In the junior basketball league there are 18 teams, 2/3 of them are bad and ?are rich. What can't be the number of teams that are rich and bad?

  A. 4.

  B. 6.

  C. 10.

  D. 7.

  E. 8.

  Correct Answer: C

  (2/3 x 18 = 12) teams are bad and 9 are rich.

  The number of teams which are rich and that are bad must be between 9 and (9+12-18 = 3).

  The only answer, which is not in that range, is C.

• Question 580:

  In the youth summer village there are 150 people, 75 of them are not working, 50 of them have families and 100 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?

  A. 25.

  B. 50.

  C. 75.

  D. 100.

  E. 150.

  Correct Answer: C

  The number of people that work is 75.

  The number of people that doesn't have families is (150 ?50 =100).

  100 of the people like to sing in the shower.

  The largest possible number of people that belong to all three groups is the smallest among them,

  Meaning 75.