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Quantitative Section 4: 37 questions 75 minutes

Use the following answer choices for questions 1 - 8 below:

A. Statement 1 alone is sufficient but Statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but Statement 1 alone is not sufficient to answer the question asked.
C. Statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.
E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the question.

1. Six hundred guests will either eat shrimp or roast beef at a wedding reception. How many of the guests will eat roast beef?

(1) Ten percent of the guests are allergic to seafood
(2) The ratio of shrimp eaters to roast beef eaters is 6:4.

2. A chef has a wonderful recipe for meatloaf, which uses 8 oz of garlic. How much garlic will she need to make enough meatloaf to serve 48 people?

(1) For every ounce of garlic she uses, the chef must reduce the amount of onion by one-half
(2) The original recipe requires 4 ounces of onion

3. On a snowy Sunday night, Sam, Joe, and Pete decided to compare CD collections. How many CDs does Joe have?

(1) Joe has 10 fewer CDs than Sam
(2) Pete has 12 less than four times the number of CDs that Joe has

4. Five numbers have a sum of 475. What is the middle number?

(1) The numbers are consecutive odd integers
(2) The average of the numbers is 157

5. What is the volume of a holiday shipping container (in cubic centimeters)?

(1) The container is a rectangle
(2) The container has a width of ½ foot, a length of 18 inches and a height of 2 feet

6. What is the area of square Z?

(1)The perimeter is 32.
(2)The side length is 8.

7. What is the product of A and B?

(1) A and B are both even integers between 10 and 20, inclusive.
(2) A - B = 6.

8. What is Y?

(1) X is one-third of Y
(2) Y3 = 125

Directions: For each problem, decide which answer is the best of the choices given.

9. Beth's Bridal Shop sells two designer gowns online: Victorian Lady and Summer Delight. Selling just these two products, the company makes $44,995 in profits each year on the sale of 450 gowns. If the profit per gown is $75 and $140 for Victorian Lady and Summer Delight, respectively, how many Victorian Lady gowns does the shop sell per year?

a. 173
b. 177
c. 273
d. 277
e. 303

10. Jack and Jill left home at the same time and travelled to the airport using the same route. Jack drove at an average speed of 75 miles per hour, while Jill drove an average speed of 45 miles per hour. In how many hours will Jack's car be 45 miles ahead of Jill's?

a. ½
b. 1
c. 3/2
d. 2
e. 5/2

11. For the repeating decimal 0.987632198763219876321…… , what is the 54th digit to the right of the decimal point?

a. 1
b. 2
c. 3
d. 6
e. 7

12. If the following series continues in the same pattern, what will the next term be?
3, 5, 4, 7, 5, 9, 6, 11………

a. 3
b. 5
c. 6
d. 7
e. 13

13. The sum of two numbers is 12. When four times the larger number is subtracted from 6 times the smaller number, the difference is 2. What is the larger number?

a. 4
b. 5
c. 6
d. 7
e. 9

14. If x + 5 is an even integer, the sum of the next two even integers is:

a. 2x + 7
b. 2(x +5)
c. 2x + 16
d. 2x + 27
e. (x + 5)(x + 5)

15. In Triangle D, the length of one side is 21 and the other side is 36. Which of the following could possibly be the length of the third side?

a. 13
b. 14
c. 16
d. 60
e. 63

16. How many 4-inch sections of ribbon can be obtained from a roll of ribbon that is 30 yards long?

a. 108
b. 270
c. 360
d. 810
e. 1,080

17. One hundred vacationers on a cruise ship have signed up for the ship's activities. Sixty sign up for ballroom dancing lessons. Thirty-five sign up for aerobics class. Twenty sign up for neither ballroom dancing nor aerobics class. How many have signed up for BOTH ballroom dancing and aerobics class?

a. 5
b. 10
c. 12
d. 15
e. 18

18. If f(p) = p/7 + 10 - (73)/p , what is f (14)?

a. -12.5
b. -12
c. 0
d. 7
e. 343

19. What is the area of a square with a side of length 5?

a. 5
b. 25
c. 50
d. 100
e. 125

20. Which of these statements are true?

I. If the radius of a circle is doubled, its area is quadrupled.
II. If the edge of a cube is tripled, its area increases 6 times.
III. A triangle is one-half a rectangle.

a. I
b. II
c. III
d. I and II
e. I and III

21. Which of the following numbers is closest in value to 3/8?

a. 3/10
b. 4/13
c. 5/16.
d. 7/19
e. 0.395

22. Jason has 1,489 nickels in a large jar in his bedroom. If he adds 324 nickels on Monday, and adds another 112 nickels on Tuesday, but removes 117 nickels on Wednesday, how much money (in dollars) does Jason have left in the jar on Thursday, assuming that there are no other additions or subtractions?

a. $90.40
b. $94.80
c. $108.80
d. $180.80
e. $188.00

23. What is the least positive integer that is divisible by both 2 and 9 and leaves a remainder of 4 when divided by 5?

a. 18
b. 36
c. 45
d. 49
e. 54

24. If 110 of the 220 students in Algebra class are from Hawaii and 22 of the students are from Canada, what percentage of the students is from neither Hawaii nor Canada?

a. 30%
b. 35%
c. 40%
d. 45%
e. 60%

25. If 25 less than eight times a number is equal to 215, find the number.

a. 20
b. 25
c. 30
d. 35
e. 40

26. Ronda borrowed $15,000 from the bank at 9% simple interest. If she pays the money back over four years, how much will she pay each month in interest?

a. $37.50
b. $112.50
c. $375.00
d. $450.00
e. $5,400.00

27. Ben found a jar with 320 coins, all dimes and quarters, which were worth $77.90. How many of the coins were dimes?

a. 14
b. 15
c. 32
d. 210
e. 306

28. Each of the equal sides of an isosceles triangle is four less than three times its base. If the perimeter is 90, what is the base of the triangle?

a. 12
b. 14
c. 15
d. 18
e. 28

29. If 3x + 4y =12 and x + 8y = 46, what is the value of 2x + 6y?

a. 15
b. 24
c. 29
d. 68
e. 112

30. If 11 - 4x = 3, what is the value of 6 - 4x?

a. -8
b. -2
c. 0
d. 2
e. 8

31. Pipe A can fill a tank in 40 hours. Pipe B can fill the same tank in 72 hours. Pipe C can empty the tank in 96 hours. If all three pipes are open at the same time, how many hours will it take to fill the tank?

a. 20
b. 35
c. 40
d. 56
e. 60

32. If you roll a 6-sided die, which sides are numbered 1 through 6, what is the probability that you will roll a 3?

a. 1/6
b. 1/5
c. 1/4
d. 1/3
e. ½

33. The cost to park at Yankee Stadium is J dollars for the first eight hours and P dollars for each additional hour. How much did Grace pay to park at the stadium for S hours (assuming that S is greater than eight)?

a. J + PS
b. J + 1/JPS
c. J + P(S - 8)
d. JPS - P(S - 8)
e. J +{(S - 8)/P}

34. What positive integer is 40% less than 15,600?

a. 4,680
b. 6,240
c. 6,864
d. 8,680
e. 9,360

35. What is the largest integer that will divide evenly into 57 and 399?

a. 7
b. 13
c. 17
d. 19
e. 21

Refer to the chart below for questions 36 and 37.

36. According to the table, sugar syrup with 10% solids flows how many times as fast as syrup with 40% solids?

a. 2
b. 3
c. 4
d. 8
e. 16

37. Using the table as a guide, how fast would a sugar syrup with 50% solids flow?

a. 50% faster than a syrup with 40% solids
b. 50% as fast as a syrup with 40% solids
c. 100% faster than a syrup with 40% solids
d. 75% as fast as a syrup with 40% solids
e. 75% faster than a syrup with 25% solids

STOP

The answers to these questions are presented in Math Answer Key 4

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