Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 581:

  In the quiet town of "Nothintodo" there are 600 inhabitants, 400 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?

  A. 50.

  B. 100.

  C. 150.

  D. 200.

  E. 300.

  Correct Answer: A

  There are 300 people that are not somnambulists. There are (600 -400 = 200) people that are employed in the town, half of the somnambulists are employed (150), therefore (200 -150 = 50) is the number of people that are employed which are also not somnambulists.

• Question 582:

  In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?

  A. 1.

  B. 2.

  C. 3.

  D. 4.

  E. 5.

  Correct Answer: D

  8 boxes are for sale, 5 of them are with toys, and therefore 3 of them are with electrical appliances. Out of 23 boxes, 16 are with toys, therefore, and therefore 7 of them are with electrical appliances. (7 -3 = 4) is the number of electrical appliances boxes, which are not for sale.

• Question 583:

  In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 86% of the students that play soccer are obviously boys. How many girl student are in Parkway that is not playing soccer?

  A. 69.

  B. 73.

  C. 81.

  D. 91.

  E. 108.

  Correct Answer: B

  There are (420 -312 = 108) girls in Parkway.

  86% of 250 are boys, therefore 14% of 250 are girls that play soccer, which is 35 girls. The number of girls

  that do not play soccer is (108 -35 = 73).

• Question 584:

  If A2 + B2 = 15 and AB = 10, what is the value of the expression (A -B)2 + (A + B)2 ?

  A. 10.

  B. 20.

  C. 30.

  D. 60.

  E. 70.

  Correct Answer: C

• Question 585:

  If A and B are positive integers, which of the following expressions is not an integer for certain?

  A. (2A2 ?2B2)/(A+B).

  B. (6B + 8A)/(3B + 4A).

  C. (3A ?B)/(B - 3A).

  D. (A + B)/(A2 + B2 + 2AB).

  E. (A2 ?B2)/(A - B).

  Correct Answer: D

  All the answers besides D are numbers after some simplification. Answer D = (A + B)/(A+B)2 = 1/(A+B), and this is a fraction of a number.

• Question 586:

  In the "Big-Reds" parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?

  A.1.

  B. 23.

  C. 17.

  D. 15.

  E. 20.

  Correct Answer: B

  Out of 56 vehicles, 32 are colored red, therefore 24 are in different color. 17 of the red vehicles are buses, therefore (18 -17 = 1) are in different color. (24 ?1 = 23) private cars are in the parking lot with a different color than red.

• Question 587:

  17. Which of the following fractions is the largest?

  A. 2/7.

  B. 2/3.

  C. 7/9.

  D. 7/12.

  E. 3/5.

  Correct Answer: C

  Let's compare all the answers to 2/7, unless we find a larger fraction. B. 2/3 is larger than 2/7. For now, this is the right answer. C. 2/3 is also 6/9 and that is smaller than 7/9. For now this is the right answer.

  D. 7/9 is bigger than 7/12.

  E. Bring this answer and C. to a common denominator.

  7/9 = 35/45 and 3/5 = 27/45.

  7/9 is the largest fraction.

• Question 588:

  If (1 < A < 3 < B), then which of the following expressions is the largest?

  A. (B+2)/(A-1).

  B. (B-2)/(A+1).

  C. A/B.

  D. (B-2)/(A-1).

  E. B/A.

  Correct Answer: A

  Try some numbers and check the answers. A=2, B=4.

  A. 6/1 = 6.

  B. 2/3.

  C. 1/2.

  D. 2.

  E. 2.

• Question 589:

  Which of the following fractions is the smallest?

  A. 3/10.

  B. 6/19.

  C. 3/8.

  D. 11/30.

  E. 12/31.

  Correct Answer: A

  Compare all of the answers to A. 3/10.

  B. 3/10 x 2 = 6/20 which is smaller than 6/19.

  C. 3/10 is smaller.

  D. 3/10 = 9/30, and this is smaller than 11/30.

  E. 3/10 = 12/40 and that is smaller than 12/31.

  The smallest fraction is A.

• Question 590:

  If Q ? = Q + 2, then what is the value of (3 ? ) ??

  A. 7.

  B. 5.

  C. 6.

  D. 4.

  E. 8.

  Correct Answer: A