Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 621:

  What is the number of different ways to choose a chairman, two deputies and two assistants for the class committee out of 7 students up for election?

  A. 25

  B. 210

  C. 630

  D. 840

  E. 2520

  Correct Answer: C

  

  choices for the two deputies (choosing 2 out of 6), and

  

  choices for the two assistants. The total is choices.

• Question 622:

  What is the units' digit of the following expression (13)5 (15)4 (17)5?

  B. 1

  C. 3

  D. 5

  E. 9

  Correct Answer: D

  When multiplying any number by a number with a units' digit of 5, the units' digit of the product will be either 5 (when all numbers are odd) or 0 (when there is at least one even number). Since in this question there are no even numbers, the units' digit is 5.

• Question 623:

  What is the probability that the sum of the results when two dice are rolled simultaneously will be 9?

  A.

  B.

  C.

  D.

  E.

  Correct Answer: E

  

  When two dice are rolled together, there are 4 different possibilities to receive a sum of 9: [3,6], [4,5], [5,4],

  [6,3], out of a total of 36 different possibilities.

  .

• Question 624:

  A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?

  A. $1,500

  B. $1,800

  C. $2,100

  D. $2,500

  E. $2,800

  Correct Answer: E

  

  7.5% of $150 = $11.25. .

• Question 625:

  What is the probability of getting an identical result on three consecutive tosses of a coin?

  A.

  B.

  C.

  D.

  E.

  Correct Answer: B

  

  The first toss will be either heads or tails. The probability that the result on the second toss is identical to the first is . The probability that the result on the third toss is identical to that of the second is also

  

  .

• Question 626:

  An investor receives a total combined return of 7% on his two different investments. On his $10,000 investment he receives a return of 6%. What is the return on his $20,000 investment?

  A. 7.25%

  B. 7.5%

  C. 8%

  D. 8.5%

  E. 9%

  Correct Answer: B

  The combined return is 7% of $30,000 = $2,100. Subtract the 6% return on his $10,000 investment = $600.

  $2,100-$600=$1,500. This is the return on his second investment of $20,000.

  $1,500 of $20,000 is a 7.5% return.

• Question 627:

  John must arrange 3 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?

  A. 6

  B. 9

  C. 36

  D. 120

  E. 720

  Correct Answer: C

  are the mathematics books and the even placed books are the physics books. The mission is therefore, arranging three mathematics books in three places (3! =6 arrangements) and three physics books in three places (3! =6 arrangements). The total number of different arrangements is

  

  .

• Question 628:

  

  The price (p) of product X depends on the yearly number of units produced (n) according to the following formula: p=

  . What will the estimated price per unit be next year if an estimated number of 260 units will be sold?

  A. 24

  B. 26

  C. 50

  D. 60

  E. 240

  Correct Answer: A

  

  Plug the number of units into the given formula to find the price per unit:

  .

• Question 629:

  What is the sum of all even integers between 30 and 50, inclusive?

  A. 640

  B. 540

  C. 480

  D. 440

  E. 240

  Correct Answer: D

  The sum of the even integers between 30 and 50 inclusive can be calculated using the product of the number of integers by their average. The average of a fixed-difference sequence of numbers

  

  . We remember that between 30 and 49, inclusive, there are 20 numbers of which half are even and half odd. Add 1 (the number 50) to the 10 even numbers to receive a total of 11 even integers,

  

  .

• Question 630:

  One of the solutions of the equation X2-X-k=5, is ?. What is the other solution of the equation?

  B. -4

  C. 5

  D. 6

  E. 24

  Correct Answer: A

  First, plug in the solution ? to find the value of k: (-3)2-(-3)- k-5=0,k=7. Then solve: X2 璛-7-5=0 to find the second solution: X=4.