Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 661:

  A truck travels 20 miles due north, 30 miles due east, and then 20 miles due north. How many miles is the truck from the starting point?

  A. 20.3

  B. 70

  C. 44.7

  D. 50

  E. 120

  Correct Answer: D

  Draw a diagram to show the path of the truck.

  

  The distance between the starting point and the final destination is a diagonal line. This line is the hypotenuse of a right triangle that has one leg of 40 and the other measuring 30. Use the Pythagorean theorem: a2 + b2 = c2. Recall, however, that this is a multiple of the most common Pythagorean triple (3, 4, 5)--namely, 30, 40, 50. The distance is 50 miles.

• Question 662:

  Susan spent one-third of her money on books and half of the remaining money on clothing. She then spent three-fourths of what she had left on food. She had $5 left over. How much money did she start with?

  A. $60

  B. $80

  C. $120

  D. $160

  E. $180

  Correct Answer: A

  three-fourths of her money on food, then $5 must be one-fourth of her money. Before buying food she must have had 5 × 4 = $20. She then spent half of her money on clothes; therefore, $20 was half of her money, giving her $40 at this point. She then spent one-third of her money on books and had $40 left over.

  If $40 represents two-thirds of her money, then $60 must be the amount she began with.

• Question 663:

  A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?

  A. 9%

  B. 11%

  C. 15%

  D. 25%

  E. 90%

  Correct Answer: D

• Question 664:

  How many different committees can be formed from a group of two women and four men if three people are on the committee and at least one member must be a woman?

  A. 6

  B. 8

  C. 10

  D. 12

  E. 16

  Correct Answer: E

• Question 665:

  Given a spinner with four sections of equal size labeled A, B, C, and D, what is the

  A. 9/16

  B. 1/8

  C. 1/4

  D. 1/2

  E. 15/16

  Correct Answer: A

• Question 666:

  John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam two years ago?

  A. 2

  B. 4

  C. 6

  D. 8

  E. 16

  Correct Answer: B

  Let x = Sam's current age and 3 x = John's current age. If John will be twice as old as Sam in six years, this sets up the equation 3x + 6 = 2 (x + 6). Solve this equation for x by using the distributive property on the right side of the equation and then subtracting 2x from both sides. 3x + 6 = 2x + 12. 3x – 2 x + 6 = 2x – 2 x + 12. Subtract 6 from both sides. x + 6 – 6 = 12 – 6. x = 6. Since x is Sam's current age, Sam was four years old two years ago.

• Question 667:

  Which of the following values of x would satisfy the inequality x > 1?

  I) x = 1 ?23

  II) x = 1 -4/3 22

  III) x = 1 -1/3 2-2

  A. I only

  B. II only

  C. II and III only

  D. I only

  E. II only

  F. I and II only

  G. I and III only

  H. I, II, and III

  Correct Answer: C

• Question 668:

  The instructions state that Cheryl needs 4/9 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 8/18 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?

  A. 1/12

  B. 1/9

  C. 2/3

  D. 1 1/9

  E. 2 1/9

  Correct Answer: C

  To solve the problem, you need to add

  

  and

  

  then subtract

  

  since the amount she has not used is

  

  , which reduces to

  

  . If you were to add and

  

  

  , and then subtract

  

  , you would end up with

  

  .

• Question 669:

  The product of a and b is equal to 11 more than twice the sum of a and b. If b = 7, what is the value of b ? a?

  A. 2

  B. 5

  C. 7

  D. 24 E. 35

  Correct Answer: A

  Write an equation for the question by translating the first sentence. The product of a and b is ab, and 11 more than twice the sum of a and b translates to 2(a + b) + 11. The equation is ab = 2 (a + b) + 11. Substitute 7 for b.7a = 2 (a + 7) + 11. This simplifies to 7a = 2a + 14 + 11 by the distributive property and then becomes 7a = 2a + 25. Subtract 2a from both sides of the equation and then divide each side by 5; 7a

  – 2 a = 2a – 2 a + 25..

  

  . a = 5. The value of b ?a = 7 –5 = 2.

• Question 670:

  What is the smallest of six consecutive odd integers whose average (arithmetic mean) is x + 2?

  A. x – 5

  B. x – 3

  C. x – 1

  D. x

  E. x + 1

  Correct Answer: B

  Remember that consecutive odd integers are numbers that are two apart in order, like 11, 13, and 15. The average of six consecutive odd integers will be an even number. If x + 2 is the average, then this value will be at the middle of the integers if they are arranged in order. Therefore, the three consecutive odd integers smaller than this are expressed as x + 1, x – 1, and x – 3 in descending order. The smallest odd integer is x – 3.