Admission Test Admission Test Certification GMAT-QUANTITIVE Questions & Answers

• Question 721:

  The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 124 different signs. If the company used 122 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 124 signs?

  A. 246

  B. 248

  C. 492

  D. 15,128

  E. 30,256

  Correct Answer: C

  Explanation: The phone company already created 122*122 area codes, now it can create 124*124. 12421222= (124+122) (124-122) = 246*2 = 492 additional codes.

• Question 722:

  For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of

  [6.5]

  x [2/3] + [2] x 7.2 + [8.4] – 6.6?

  A.

  12.6.

  B.

  14.4.

  C.

  15.8.

  D.

  16.2.

  E.

  16.4.

  Correct Answer: C

  [6.5] x [2/3] + [2] x 7.2 + [8.4] ?6.6 = 6 x 0 + 2 x 7.2 + 8 - 6.6 = 15.8

• Question 723:

  What is the decimal equivalent of ( )2

  

  A. 0.0032

  B. 0.032

  C. 0.00625

  D. 0.003125

  E. 0.0016

  Correct Answer: E

  

  Explanation: (

  

  )4 = (

  

  )4 =

  = 16 x 10-4 = 0.0016

• Question 724:

  In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (4, 0), (6, 3), and (6, -3)?

  A. 7.5

  B. 7

  C. 6.5

  D. 6

  E. 5.5

  Correct Answer: D

  First draw the x and y-axes, then plot the points and connect them. The length of the base is 6 units [from

  (6, 3) to (6, -3)] and the height is 2 units [from (6, 0) to (4, 0)].

  Area of a triangle = (base × height) / 2, so (6 × 2)/2 is 6.

• Question 725:

  Tim and Élan are 90 miles away from one another. They are starting to move towards each othersimultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they multiply theirspeeds, what is the distance that Tim will pass until he meets Élan?

  A. 30 miles.

  B. 35 miles.

  C. 45 miles.

  D. 60 miles

  E. 65 miles

  Correct Answer: D

  Tim is traveling at twice the speed of Élan, and so will be after they multiply their speeds.

  In other words, their speeds will always be at a 2:1 ratio no matter what and therefore the ratio between the

  roads that they’ll pass will also be 2:1 or 60 miles to 30 miles. Tim will go through 60 miles.

• Question 726:

  15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit, how many more days are needed to finish the remainder of the job?

  A. 5.

  B. 2.

  C. 8.

  D. 4.

  E. 6.

  Correct Answer: A

  Explanation: The total working days for finishing a web page are (15 x 3) 45. If after one day 9 programmers quit, only 15 working days are done and the rest of the programmers (6) Need to finish (45 ? 15) 30 days of work. It will take them 5 more days.

• Question 727:

  On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of

  383.6 miles?

  A. 5.2

  B. 7.4

  C. 13.7

  D. 21.2

  E. 28.7

  Correct Answer: C

  This is a proportion problem. Dividing the requested amount of miles by the reference amount would give us the answer in inches. 383.6 / 28 = 13.7 inches.

• Question 728:

  The original price of a car was $25,200. Because the car owner thought he could get more money for the car, he increased the price of the car to 110% of its original price. After a week, the car had not sold, so the owner then discounted the price by 10%, and the car was finally sold. What price was the car sold for?

  A. $25,200

  B. $25,000

  C. $24,948

  D. $24,542

  E. $23,658

  Correct Answer: C

  Pay attention, when you raise a number by X% and than you reduce X% you don't get the original number

  again because the second time you took X% off you reduced it from a larger number thus answer A is not

  the correct one,

  Let's check:

  25,200 x 1.1 = 27,720.

  27,720 x 0.9 = 24,948 and not 25,200. The correct answer is C.

• Question 729:

  N is a prime number bigger than 5. Which of the following expressions must be even?

  A. (N+2)2.

  B. N2+2.

  C. N (N+2).

  D. (N+1) (N+2).

  E. (N – 2)2.

  Correct Answer: D

  Answer D is a multiplication of two consecutive numbers, therefore one of them must be even, and an even number multiplied by a different number is an even number.

• Question 730:

  A is a prime number (A>2). If C = A3, by how many different integers can C be equally divided?

  A. 3.

  B. 4.

  C. 5.

  D. 6

  E. 7

  Correct Answer: B

  Explanation: Factorize C: C = A x A x A: C can be equally divided into 1, A, A2, and A3 =C is 4 numbers total. The correct answer is B.