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Thursday, January 31, 2013

New and Free Wonderlic Practice Test Sample Questions (1-125) Part VII

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New and Free Wonderlic Practice Test Sample Questions (1-125) Part VII


You will find all answers in the middle of blog in red…

Questions 106-125

106.
What will it cost to carpet a room with indoor/outdoor carpet if the room is 10 feet wide and 12 feet long? The carpet costs 12.51 per square yard.

A. $166.80
B. $175.90
C. $184.30
D. $189.90
E. $192.20
 
107.
If the perimeter of a rectangular house is 44 yards, and the length is 36 feet, what is the width of the house?

A. 10 yards
B. 18 yards
C. 28 feet
D. 32 feet
E. 36 yards

108.
What is the volume of the following cylinder?
 


A. 210.91
B. 226.20
C. 75.36
D. 904.32
E. 28.26

109.
What is the volume of a cube whose width is 5 inches?

A. 15 cubic inches
B. 25 cubic inches
C. 64 cubic inches
D. 100 cubic inches
E. 125 cubic inches

110.
Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft. 8in long. How much material does Sally have?

A. 7 yd. 1 ft. 8 in.
B. 8 yd. 4 ft. 4 in.
C. 8 yd. 11 in.
D. 9 yd. 7 in.
E. 10 yd.

111.
A can's diameter is 3 inches, and its height is 8 inches. What is the volume of the can?

A. 50.30
B. 56.55
C. 75.68
D. 113.04
E. 226.08

112.
 If the area of a square flowerbed is 16 square feet, then how many feet is the perimeter of the flowerbed?

A. 4
B. 12
C. 16
D. 20
E. 24

113.
Of the following units which would be more likely used to measure the amount of water in a bathtub?

A. kilograms
B. liters
C. milliliters
D. centigrams
E. volts

114.
If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?

A. 5 1/16 inch highlighter
B. 3 1/8 inch jewelry box
C. 2 3/4 inch lipstick
D. 2 3/16 inch staple remover
E. 4 1/2 inch calculator

115.
 What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?

A. 0.9WL
B. 0.3WL
C. 0.1WL
D. 9WL
E. 3WL
 

_______________________________________________

Answer for Question number 106-125


106. A: The area of the room is equal to the product of 10 ft and 12 ft, or 120 ft². 120 ft² = 13.3 yd², so the total cost is equal to the product of the area of the room, or 13.3 yd² and $12.51 (the cost per square yard). It will cost $166.80 to carpet the room.

107. A: The perimeter of the house is equal to 132 feet, since there are 3 feet in 1 yard. The perimeter of the house may be represented by the equation, 2l + 2w = 132. Substituting 36 for l gives 2(36) + 2w = 132. Solving for w gives w = 30, which is measured in feet. 30 feet = 10 yards, so the width of the house is also equal to 10 yards.

108. B: The volume of a cylinder is represented by the equation, V=πr2 h, where r represents the radius and h represents the height. Substituting 3 for r and 8 for h gives V=π(3)2 (8), or V = 72π. Thus, the volume is approximately 226.2 cubic units.

109. E: The volume of a cube is represented by the equation, V=s3, where s represents one side length. Substituting 5 for s gives V=53, or V = 125. The volume of the cube is 125 cubic inches.

110. D: The sum of the material is equal to 7 yd, 5 ft, 19 in, which may also be written as 7 yd, 6 ft, 7 in, or 9 ft, 7 in.

111. B: The volume of a cylinder is represented by the equation, V=πr2h, where r represents the radius and h represents the height. Substituting 1.5 for r and 8 for h gives V=π(1.5)2 (8), or V = 18π. Thus, the volume is approximately 56.55 cubic inches.

112. C: The area of a square is represented by the formula, A=s2. Substituting 16 for A gives: 16=s2. Solving for s shows each side length to be 4 feet. Thus, the perimeter is equal to the product of 4 and 4 ft, or 16 ft.

113. B: Liters measure capacity and are appropriate for the size of a bathtub. Milliliters are also a measurement of capacity, but are too small a measurement for such a large container.

114. D: A length of 0.17 feet is equal to 2.04 inches. The following proportion may be used to determine the length, in inches: 0.17/x=1/12. A length of 2.1875 inches is the closest to this measurement.

115. A: The area may be represented as A = WL, measured in yards, or A = 9WL, measured in feet. Thus, the charge is equal to the product of 9WL and 0.10 or 0.9WL.

116. C: The following proportion may be used to find the measurement, in centimeters: 1/2.54=76/x. Solving for x gives x = 193.04. The man is 193.04 cm tall.

117. A: The volume of a rectangular prism is equal to the product of the length, width, and height. Thus, the volume of the room may be represented as V=11.12.9, which equals 1188 ft³.

118. B: The number of mg left is equal to the difference of 500 mg and 325 mg, or 175 mg.

119. C: The following proportion may be used to find the number of mL to be given: 4/5=20/x. Solving for x gives x = 25. Thus, 25 mL need to be given.

120. C: The product of these dimensions is 1,680 ft³ (14 ft × 20 ft × 6 ft), thus this aquarium meets the required volume.
121. C: The equation, x-0.10x-0.15(x-0.10x)=306, may be used to solve the problem. Solving for x gives 0.90x - 0.15x + 0.015x = 306, where x = 400. Thus, the original price was $400.

122. B: The equation may be solved by first distributing the y across the expression, x - 1, on the left side of the equation. Doing so gives: xy - y = Z. Adding y to both sides of the equation gives: xy = Z + y. Finally, division of both sides of the equation by y gives: x=(Z+y)/y or x=Z/y+1.

123. B: This problem illustrates the distributive property of multiplication over addition. The factor being distributed may not change.

124. D: The measure of the third angle of the triangle is equal to 180°-(15° + 85°), or 80°.

125. C: Since there are 32 ounces in 2 pounds (16 ounces = 1 pound), the following proportion may be written: 5/140=32/x . Solving for x gives x = 896. Thus, there are 896 grams in 2 pounds of meat.

 _______________________________________________________

116.
One inch equals 2.54 cm, How many centimeters tall is a 76 inch man?

A. 20 cm
B. 29.92 cm
C. 193.04 cm
D. 300.04 cm
E. 593.04 cm

117.
A room measures 11 ft x 12 ft x 9 ft. What is the volume?

A. 1188 ft3
B. 32 ft3
C. 120 ft3
D. 1300 ft3
E. 1350 ft3

118.
A vitamin's expiration date has passed. It was supposed to contain 500 mg of Calcium, but it has lost 325 mg of Calcium. How many mg of Calcium are left?

A. 135 mg
B. 175 mg
C. 185 mg
D. 200 mg
E. 220 mg

119.
You have orders to give a patient 20 mg of a certain medication. The medication is stored 4 mg per 5-mL dose. How many milliliters will need to be given?

A. 15 mL
B. 20 mL
C. 25 mL
D. 30 mL
E. 35 mL

120.
You need exactly a 1680 ft3 aquarium for your fish. At the pet store you see four choices of aquariums, but the volume is not listed. The length, width, and height are listed on the box. Which of the following aquariums would fit your needs?

A. 12 ft x 12 ft x 12 ft
B. 13 ft x 15 ft x 16 ft
C. 14 ft x 20 ft x 6 ft
D. 15 ft x 16 ft x 12 ft
E. 15 ft x 12 ft x 12 ft

121.
An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?

A. $325
B. $375
C. $400
D. $408
E. $425

122.
 If y(x-1)=z then x=

A. y-z
B. z/y + 1
C. y(z-1)
D. z(y-1)
E. 1-zy

123.
Which of the following values is NOT equal to 34(58+9)?

A. 34 x 67
B. 58(34+9)
C. 34 x 58 + 34 x 9
D. 1,972 + 306
E. (9 + 58) 34

124.
Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?

A. 50°
B. 55°
C. 60°
D. 80°
E. 90°

125.
 If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal to how many grams?

A. 863
B. 878
C. 896
D. 915
E. 932
 Please give some feedback on questions


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Wednesday, January 30, 2013

Free and New GMAT Practice Test Sample Questions (1-100) Part 3

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Free and New GMAT Practice Test Sample Questions (1-100) Part 3




Mathematics Questions

25. How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest?

A. 2 years
B. 3 years
C. 4 years
D. 5 years
E. 6 years
 
26. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

A. 4
B. 8
C. 12
D. 13
E. 16
 
27. If r = 5 z then 15 z = 3 y, then r =

A. y
B. 2 y
C. 5 y
D. 10 y
E. 15 y

28. What is 35% of a number if 12 is 15% of a number?

A. 5
B. 12
C. 28
D. 33
E. 62

29. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?

A. $1800
B. $1900
C. $2000
D. $2100
E. $2200

____________________________________________________________________
Answers With  Explanations
25. C: The formula for simple interest is I = Prt, where I represents the interest amount, P represents the principal, r represents the rate, and t represents the length of time. Substituting 600 for I, 2500 for P, and 0.06 for r gives: 600 = 2500(0.06)t. Solving for t gives t = 4. So, she will have to wait 4 years for her principal to earn $600 in interest.

26. D: If she only takes out 12 jellybeans, blue jellybeans may remain in her pocket. However, is she takes out 13 jellybeans, she is ensured that one of each color will have been taken out.

27. A: Solving the first equation for Z gives r/5=Z. Substituting this value of Z into the second equation gives 15(r/5)=3y, which simplifies to 3r = 3y. Dividing both sides of the equation by 3 gives r = y.

28 C: The second part of the problem may be modeled with the equation, 12 = 0.15x. Dividing both sides of the equation by 0.15 gives x = 80. 35% of 80 may be written as 0.35(80), which equals 28.

29. C: The problem may be modeled with the equation, x - 0.20x = 1600, which simplifies to 0.80x = 1600. Dividing both sides of the equation by 0.80 gives x = 2000. The original cost of the computer was $2000.

30. B: The cost of the SUV to the dealer may be represented by the equation, 39000 = x + 0.25x, which simplifies to 39000 = 1.25x. Dividing both sides of the equation by 1.25 gives x = 31,200.

31. E: The problem may be modeled by the expression, 49000 - 0.20(49000), which equals 39,200. Thus, he sold the car for $39,200.

32. B: The problem may be modeled with the equation, 1/4+1/6+1/2=1/t, which simplifies to 11/12=1/t. Solving for t gives t=12/11. Thus, they can finish the work in 1.09 days, when working together.

33. D: The quotient of 12 divided by 12 is 1. The quotient of 0.12 divided by 12 equals 0.01, since the decimal point in 0.12 is moved two places to the left.

34. D: When dividing terms, with the same base, the exponents should be subtracted. So, x5/x2 =x3.

35. B: The integer, 1, is a natural number. The natural numbers are a subset of the set of whole numbers, and the set of whole numbers are a subset of the set of rational numbers. Thus, the integer, 1, is a natural number, whole number, and rational number.

36. C: 4 occurs in the list three times, which is more than any other frequency, thus it is the mode.

37. D: This set contains the element, 0, which would result in division by zero.

38. C: The number of cups of sugar she needs is equal to the sum of 3/8 and 3/5, or 39/40. The amount of sugar she has and the amount she needs may be compared by finding a common denominator. Doing so gives the fractions, 78/80 and 75/80, showing that she needs 3/80 cup more of sugar.

39. B: The attendance of employees and their spouses may be modeled by the expression, 1/2+1/3, which equals 5/6. Thus, 1/6, or 16.7%, of the attendees were not employees or spouses.

40. C: The GPA may be represented as ((2.3)+(3.2)+(4.4)+(3.4))/13, which is approximately 3.08.

41. D: The problem may be modeled by the proportion, 8/(1/2)=x/(7 3/4). Solving for x gives x = 124. Thus, there are 124 ounces in 7 3/4 pounds.

42. E: Tripling X and Y gives 3XZ/3Y, which reduces to XZ/Y, which is the same as the given fraction.

43. E: The pattern is a geometric sequence, with a common ratio of 1/2. Multiplication of 1/8 by 1/2 gives 1/16, or the next number in the pattern.

44. B: Liters is the most reasonable measurement for capacity of water in a bathtub.

45. D: The proportion, 0.17/x=1/12, may be used to find the length, in inches. Thus, the length of the match box is 2.04 inches. The length of 2 3/16 is closest to this length.

46. B: 1/200=0.005, which equals 0.5%.

47. C: Movement of 4 units to the left and 5 units up gives the ordered pair, (6, 8). Note. 4 is subtracted from the x-value of 10 and 5 is added to the y-value of 3.

48. A: The average may be written as 28.49/7, which equals 4.07. Thus, his average cost per day was $4.07.

49. E: The unit of cups is the most reasonable measurement for measuring the capacity of sugar.

50. C: The inequality may be written as 42 > x ≥ 40. A length of 3 3/8 feet equals 40.5 inches, which satisfies the required conditions of the inequality.

51. D: The problem may be modeled with the expression, 750 + 0.15(750), which equals 862.50. Thus, his asking price would be $862.50.

52. A: The ratio, 300/x, represents the number of jellybeans purchased for x dollars. Since 50 cents is one-half of a dollar, the ratio, 150/x, will represent the number of jellybeans that may be purchased at the same rate.

53. B: The first part of the problem may be modeled with the equation, 6 = 0.24x, where x represents the number to be determined. Solving for x gives x = 25. 40% of 25 is written as 0.40(25), which equals 10.

54. B: The following proportion may be written and solved for x: 22/132=15/x; x = 90.

55. A: The percent increase may be written as (19-12)/12, which equals 7/12, or approximately 58%.

56. C: The first equation may be solved for x. Doing so gives x = 6. Substituting 6 for x, into the expression, 5x + 3, gives 5(6) + 3, or 33.

57. C: The equation, 3002+4002=c2, may be used to solve the problem. Note. After 2 hours, the one plane has ascended 300 miles, while the other plane has traveled 400 miles. Solving the equation for c gives c = 500. Thus, they will be 500 miles apart.

58. A: The area, in feet, may be represented as A = (3W)(3L), or A = 9WL. Since the cost is $0.10 per square foot, the cost will be equal to 9WL × 0.10, or 0.9WL.

59. D: Moving the decimal 9 places to the right involves adding 7 zeros. Doing so gives 8,230,000,000.

60. E: The numbers of visitors for Thursday through Sunday are 345, 1035, 3105, and 9315.
_______________________________________________________________



30. A car dealer sells a SUV for $39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?

A. $29,250
B. $31,200
C. $32,500
D. $33,800
E. $33,999

31. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?

A. $24,200
B. $28,900
C. $35,600
D. $37,300
E. $39,200

32. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?

A. 0.8 days
B. 1.09 days
C. 1.23 days
D. 1.65 days
E. 1.97 days

33. Find 0.12 ÷12

A. 100
B. 10
C. 1
D. 0.01
E. 0.001

34. Divide x5 by x2

A. x25
B. x10
C. x7
D. x3
E. x2.5

35. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?

A. 0
B. 1
C. 2.33
D. -3
E. none of the above

36. Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8

A. 2
B. 3
C. 4
D. 5
E. 6

37. In the fraction 3/x, x may not be substituted by which of the following sets?

A. {1, 2, 4}
B. {-2,-3,-4}
C. {1, 3, 7}
D. {0, 10, 20}
E. {1.8, 4.3}

38. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?

A. She has enough sugar.
B. She needs 1/8 of a cup of sugar.
C. She needs 3/80 of a cup of sugar.
D. She needs 4/19 of a cup of sugar.
E. She needs 1/9 of a cup of sugar.

39. At a company fish fry, ½ in attendance are employees. Employees' spouses are ⅓ of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?

A. 10.5%
B. 16.7%
C. 25%
D. 32.3%
E. 38%

40. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?

A. 2.59
B. 2.86
C. 3.08
D. 3.33
E. 3.67

41. There are 8 ounces in a ½ pound. How many ounces are in 7 3/4 lbs?

A. 12 ounces
B. 86 ounces
C. 119 ounces
D. 124 ounces
E. 138 ounces

42. If the value of x and y in the fraction XZ/Y are both tripled, how does the value of the fraction change?

A. increases by half
B. decreases by half
C. triples
D. doubles
E. remains the same

43. What is the next number in the following pattern? 1, ½, ¼, ⅛, ___

A. 1/10
B. 1/12
C. 1/14
D. 1/15
E. 1/16

44. Of the following units which would be more likely used to measure the amount of water in a bathtub?

A. kilograms
B. liters
C. milliliters
D. centigrams
E. volts

45. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?

A. 5 1/16 inch highlighter
B. 3 1/8 inch jewelry box
C. 2 3/4 inch lipstick
D. 2 3/16 inch staple remover
E. 4 1/2 inch calculator

46. Which of the following fractions is the equivalent of 0.5%?

A. 1/20
B. 1/200
C. 1/2000
D. 1/5
E. 1/500

47. In the graph below, no axes or origin is shown. If point B's coordinates are (10,3), which of the following coordinates would most likely be A's?
 


A. (17, -2)
B. (10, 6)
C. (6, 8)
D. (-10, 3)
E. (-2, -17)

48. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day?

A. $4.07
B. $3.57
C. $6.51
D. $2.93
E. $5.41

49. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies?

A. degrees Celsius
B. milliliters
C. quarts
D. kilograms
E. cups

60. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?

A. 3 4/5 feet
B. 3 2/3 feet
C. 3 3/8 feet
D. 3 1/4 feet
E. 2 1/2 feet

51. After purchasing a flat screen television for $750, John realizes that he got a great deal on it and wishes to sell it for a 15% profit. What should his asking price be for the television?

A. $800.30
B. $833.60
C. $842.35
D. $862.50
E. $970.25

52. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?

A. 150/x
B. 150x
C. 6x
D. x/6
E. 1500x

53. If 6 is 24% of a number, what is 40% of the same number?

A. 8
B. 10
C. 15
D. 20
E. 25

54. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?

A. $57
B. $90
C. $104
D. $112
E. $122

55. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?

A. 58%
B. 119%
C. 158%
D. 175%
E. 200%

56. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =

A. 12
B. 25
C. 33
D. 47
E. 86

57. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?

A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles

58. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?

A. 0.9WL
B. 0.3WL
C. 0.1WL
D. 9WL
E. 3WL

59. Find 8.23 x 109

A. 0.00000000823
B. 0.000000823
C. 8.23
D. 8230000000
E. 823000000000

60. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?
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Tuesday, January 29, 2013

Free and New GMAT Practice Test Sample Questions (1-100)

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Free and New GMAT Practice Test Sample Questions (1-100)



Part 1-GMAT Quantitative

A Problem-solving
Solve these problems and indicate the best of the answer choices given. All
Numbers used are real numbers.
Question 1
 If a = 3 and b = -2, what is the value of a2 + 3ab – b2?
A. 5
B. -13
C. -4
D. -20
E. 13
Question 2
34 is what percent of 80?
A. 34%
B. 40%
C. 42.5%
D. 44.5%
E. 52%
Question 3
 Jack and Kevin play in a basketball game. If the ratio of points scored by
Jack to points scored by Kevin is 4 to 3, which of the following could NOT be the total number of points scored by the two boys?
A. 7
B. 14
C. 16
D. 28
E. 35
Question 4
 Factor the following expression: x2 + x – 12
A. (x – 4) (x + 4)
B. (x – 2) (x + 6)
C. (x + 6) (x – 2)
D. (x – 4) (x + 3)
E. (x + 4) (x – 3)
Question 5
 The average of six numbers is 4. If the average of two of those numbers is 2, what is the average of the other four numbers?
A. 5
B. 6
C. 7
D. 8
E. 9
Question 6
 What is the next-highest prime number after 67?
A. 68
B. 69
C. 71
D. 73
E. 76

_________________________________________________________________
GMAT Test Answer Key with explanation

1. B. Simply substitute the given values for a and b perform the required operations.

2. C. This problem is solved by finding x in this equation: 34/80 = x/100.

3. C. Every possible combination of scores is a multiple of 7, since the two terms of the ratio have a sum of seven.

4. E. To solve this problem, work backwards. That is, perform FOIL on each answer choice until you derive the original expression.

5. A. A set of six numbers with an average of 4 must have a collective sum of 24. The two numbers that average 2 will add up to 4, so the remaining numbers must add up to 20. The average of these four numbers can be calculated: 20/4 = 5.

6. C. Prime numbers are those that are only evenly divisible by one and themselves.

7. D. Simple Multiplication.

8. D. Multiply 30 by 0.2 and subtract this from the original price of the shirt to find the sale price: $24. Then multiply 24 by 0.2 and add the product to the sale price to find the final price.

9. C. There are 12 inches in a foot and 3 feet in a yard. Four and a half yards is equal to 162 inches. To determine the number of 3-inche segments, divide 162 by 3.

10. A. If it takes 3 people 3 1/3 days to do the job, then it would take one person 10 days: 10
3*3 ½=10 thus, it would take 2 people 5 days, and one day of work for two people would complete 1/5 of the job.

11. E. There are 60 minutes in an hour, so Dave can deliver 240 newspapers every hour. In 2 hours, then, he can deliver 480 papers.

12. C. Since 4 is the same as 22, 46 = 212. When dividing exponents with the same base, simply subtract the exponent in the denominator from the exponent in the numerator

13. A. Convert 20% to the fraction 1/5, then multiply by 12/5. The resulting fraction, 12/25, must have both numerator and denominator multiplied by 4 to become a percentage.

14. E. This problem can be solved with the following equation, in which x = the total capacity of the tank: 1/2x=1/3x+3

Data sufficiency
15. E. The two statements establish only that Alice is paid more than both Jonathan and Deborah; they do not indicate which of these latter two is paid more.

16. A. Since the cubes of a and b will retain the original sign (whether positive or negative), it will be possible to assess the relative sizes of a and b.

17. A. If the two shorter sides add up to 4 inches in length, the two longer sides must be greater than 4 inches, meaning that the perimeter will be greater than 8 inches.

18. B. The first statement only establishes that a is a positive number; it does not require that a is an integer.

19. C. 60 is the only integer between 40 and 70 that is a multiple of 2, 4, and 5.

20. A. The first statement establishes that the larger group constitutes half of the total amount of marbles, which means it must be equal to 25 marbles.

21. D. For (1), the fact that a positive number multiplied by b has a positive product establishes that b is a positive number. For (2), any positive number with a negative sign placed in front of it will become negative, indicating that b is a positive number.

22. B. It would be possible for x and y to be negative numbers and still satisfy the conditions of (1), but it then would be impossible to satisfy (2).

23. C. As long as the sum of all five test scores can be calculated, it will be possible to calculate the average score.

24. C. In order for (1) to be true, y must be either positive or zero. Therefore, according to the terms of (2), y must be odd.

_____________________________________________


Question 7
 Solve: 0.25 x 0.03 =
A. 75
B. 0.075
C. 0.75
D. 0.0075
E. 7.5
Question 8
Dean’s Department Store reduces the price of a $30 shirt by 20%, but later raises it again by 20% of the sale price. What is the final price of the shirt?
A. $24.40
B. $32
C. $30
D. $28.80
E. $26.60
Question 9
 How many 3-inch segments can a 4.5-yard line be divided into?
A. 15
B. 45
C. 54
D. 64
E. 84
Question 10
Sheila, Janice, and Karen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate,  how much of the job could Janice and Karen do in one day?
A. 1/5
B. 1/4
C. 1/3
D. 1/9
E. 1/8
Question 11
 Dave can deliver four newspapers every minute. At this rate, how many newspapers can he deliver in 2 hours?
A. 80
B. 160
C. 320
D. 400
E. 480
Question 12
46 ÷ 28 =
A. 2
B. 8
C. 16
D. 32
E. 64
Question 13
What is 20% of 12/5, expressed as a percentage?
A. 48%
B. 65%
C. 72%
D. 76%
E. 84%
Question 14
 Archie’s gas tank is 1/3 full. If Archie adds 3 gallons of gas to the tank, it will be ½ full. What is the capacity in gallons of Archie’s tank?
A. 28
B. 12
C. 20
D. 16
E. 18
Data sufficiency
This Data Sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question, using only the data given in the statements and your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counter clockwise).
Question 15
 Does Jonathan get paid more than Deborah?
(1) Alice gets paid more than Deborah.
(2) Jonathan makes less money than Alice.
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement
ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Question 16
 Is the integer a less than the integer b?
(1) a3 < b3
(2) a2 < b2
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement
ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Question 17
Is the perimeter of a given rectangle greater than 8 inches?
(1) The two shorter sides of the rectangle are 2 inches long.
(2) The length of the rectangle is 2 inches greater than the width of the
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement
ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Question 18
 Is a an integer?
(1) a > 0
(2) 4 2+ 32 = a2
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement
ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Question 19
What is the value of the integer P?
(1) P is an integer multiple of 2, 4, and 5.
(2) 40 < P < 70
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement
ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Question 20
Brian is dividing 50 marbles into 3 groups. How many marbles are in the largest of the three groups?
(1) The sum of the two smaller groups of marbles is equal to the largest group of marbles.
(2) The smallest group contains 6 marbles.
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement
ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Question 21
 Is b a positive number?
(1) 1,452(b) > 0
(2) –b < 0
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement
ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Question 22
 Is x greater than y?
(1) x > 2y
(2) x – y > 0
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement
ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Question 23
What is the average test score of Angela, Barry, Carl, Dennis, and Edward?
(1) The average of the test scores of Barry, Carl, and Edward is 87.
(2) The average of the test scores of Angela and Dennis is 84.
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement
ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Question 24
 If y is an integer, is it an odd number?
(1) y3 ≥ 0
(2) y is either an odd number or a negative number
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement
ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
 
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