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GMAT TEST 1 – Maths Section

(37 questions, 75 minutes)

1. Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2

years, Roy will be twice as old as Erik, then in 2 years what would be Erik’s age

multiplied by Iris’s age?

(a)

(b)

(c)

(d)

(e)

2. An investment yields an interest payment of $228 each month. If the simple

annual interest rate is 9%, what is the amount of the investment?

(a)

(b)

(c)

(d)

(e)

$28,300

$30,400

$31,300

$32,500

$35,100

3. X, Y, Z, and W are integers. The expression X-Y-Z is even and the expression Y-

Z-W is odd. If X is even what must be true?

(a)

(b)

(c)

(d)

(e)

Y-Z must be odd.

W must be even.

W must be odd.

W must be even.

Z must be odd

X and Y are two sides of a triangle, is the area of the triangle an integer?

(1) X is a prime number.

(2) Y is an odd integer.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

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even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

5. Fuel tanker A can fill the underground reservoir in 12 minutes. How long will it

take fuel tanker A and fuel tanker B to fill up the same reservoir together?

(1) The reservoir contains 3000 liters of fuel.

(2) Fuel tanker B alone will require the same number of hours to fill the same

reservoir.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

6. Q is a prime number bigger than 10. What is the smallest positive number (except

1) that 3Q can be divided by equally?

(a) 3Q

(b) Q

(d) Q+3

(e) 2Q

7. In a box there are A green balls, 3A + 6 red balls and 2 yellow ones. If there are

no other colors, what is the probability of taking out a green or a yellow ball?

(a)

(b)

(c)

(d)

(e)

1/5.

1/2.

1/3.

1/4.

2/3.

8. Kelly used to get a 30% discount on movie tickets. When the price of the movie

ticket increased by 50%, the amount of discount in dollars remained the same.

What is Kelly's discount with the new Ticket price in percent terms?

(a) 10%

(b) 20%

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(d) 35%

(e) 38%

9. Is the square root of A an integer?

(1) The last digit of A is 8.

(2) A is divisible by 6.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

10. If Q and T are integers, what is the value of Q?

(1) Q = 2T/7.

T + 7 7(Q + 2)

4(2) 2

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

11. In a psychology school the grade of the students is determined by the following

method: At the end of the first year the grade equals to twice the age of the student.

From then on, the grade is determined by twice the age of the student plus half of

his grade from the previous year. If Joey’s grade at the end of the first year is 40,

what will be his grade at the end of the third year?

(a) 44.

(b) 56.

(d) 75.

(e) 80.

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

equally divided?

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(a)

(b)

(c)

(d)

(e)

13. If X is a positive integer and (405)

possible value of X?

(a)

(b)

(c)

(d)

(e)

12.

16.

20.

26.

is a multiple of 3X, what is the largest

14. X, Y>0, If X3 = Y, is Y a fraction?

(1) X2 is a fraction.

(2) X > Y.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

15. A turtle is crossing a field, how many meters total did he pass?

(1) The average speed of the turtle is 2 meters per minute.

(2) Had the turtle walked 1 meter per minute faster than his average speed it would

have finished the same path 40 minutes earlier.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

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16. The net value of a certain stock increased at a constant rate during the ten-year

period between 1990 and 2000. What was the value of the stock in the year 1998?

(1) In 1991, the value of the stock was 130 U.S dollars.

(2) In 1992, the value of the stock was 149.5 U.S dollars.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

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

even?

(a) (N+2)2.

(b) N2+2.

(d) (N+1)(N+2).

(e) (N – 2)2.

18. 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)

(b)

(c)

(d)

(e)

$25,200

$25,000

$24,948

$24,542

$23,658

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

represent a distance of 383.6 miles?

(a)

(b)

(c)

(d)

(e)

5.2

7.4

13.7

21.2

28.7

20. 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?

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(a)

(b)

(c)

(d)

(e)

21. Tim and Élan are 90 miles away from one another. They are starting to move

towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of

5 Mph. If every hour they double their speeds, what is the distance that Tim will

pass until he meets Élan?

(a)

(b)

(c)

(d)

(e)

30 miles.

35 miles.

45 miles.

60 miles.

65 miles.

22. A spaceship in orbit rotates around the planet Pluto. How many full rotations

can the spaceship complete in 20 hours.

(1) The radius of a single rotation is 21,000 miles.

(2) The spaceship travels at 35 miles per second.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

23. Is X > Y?

(1) 12X = 4C.

(2) C = 3Y4.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

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24. What is the circumference of circle O?

(1) The circle inscribes a square.

(2) The perimeter of the square is 10.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

25. 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

(d) 6

(e) 5.5

26. 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)

(b)

(c)

(d)

(e)

12.6.

14.4.

15.8.

16.2.

16.4.

27. What is the decimal equivalent of (1/5)4?

(a)

(b)

(c)

(d)

(e)

0.0032

0.032

0.00625

0.003125

0.0016

28. How many four-digit numbers that do not contain the digits 3 or 6 are there?

(a) 2401

(b) 3584

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(d) 5040

(e) 7200

29. How many of the girls in a group of 200 children have an average score of 80 in

their final exams?

(1) 45% of the children have an average score of 80 in their final exams.

(2) 50% of the children in the group are girls.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

30. A paint shop sells spray cans at a flat charge of 50 cents per can. If a customer

bought 10 cans and the owner decided to give that customer a special discount on

the last two cans, what was the price of the two discounted cans?

(1) The customer paid four dollars and twenty cents total for the ten cans.

(2) The customer bought the ten cans for an average price of 42 cents per can.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

31. Does the product of XYZW = 16?

(1) Y = 1.

(2) X = 4Y and ZW = 4Y2

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

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(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

32. 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)

(b)

(c)

(d)

(e)

246

248

492

15,128

30,256

33. The average (arithmetic mean) of seven numbers is 12.2. If the sum of four of

these numbers is 42.8, what is the average of the other 3 numbers?

(a)

(b)

(c)

(d)

(e)

12.4

14.2

16.8

18.6

19.2

34. If A = 2B, is A4 > B4?

(1) A2 = 4B2.

(2) 2A + B < A/2 + B.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

35. 5 numbers are randomly chosen. If their average is 20, how many of the

numbers are larger than 15?

(1) One of the numbers is 15.

(2) The average of three of the numbers is 15.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

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(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

36. A drawer holds 4 red hats and 4 blue hats. What is the probability of getting

exactly three red hats or exactly three blue hats when taking out 4 hats randomly

out of the drawer and immediately returning every hat to the drawer before taking

out the next?

(a)

(b)

(c)

(d)

(e)

1/8

1/4

1/2

3/8

7/12

37. If 4XZ + YW = 3 and XW + YZ = 6, what is the value of the expression (2X +

Y)(2Z + W)?

(a)

(b)

(c)

(d)

(e)

12.

15.

16.

18.

GMAT TEST 2 – MATH SECTION

(37 questions, 75 minutes)

1. X is an even number and Y is a positive odd number. Which of the following

expressions cannot be even?

(a)

(b)

(c)

(d)

(e)

(XY) Y

X3Y3

2. How much interest will $2,400 earn at an annual rate of 8% in one year if the

interest is compounded every 4 months?

(a)

(b)

(c)

(d)

(e)

$141

$150

$197

$234

$312

3. What is the value of P?

(1) P is even.

(2) P is a square of a prime number.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

4. If AB = 40, what is the value of AB(A + 2B)?

(1) A – B = -18.

(2) A2B = 80.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

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(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

5. If X3Y = 24, what is the value of (X3Y3 – X2Y2)?

(1) X2Y2 = 36.

(2) X3Y2 = 72.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

6. X is a prime number bigger than 10. Also, Y = X+X3+X5+X7.

What is definitely true about Y?

(a)

(b)

(c)

(d)

(e)

Y is a prime number.

Y is odd.

Y is even.

Y is divisible by 3.

Y is divisible by 7.

7. What is the least integer that is a sum of four different primes each greater than

20?

(a)

(b)

(c)

(d)

(e)

120

133

169

8. If X>X, the average of X and Y is Z, and the average of Z and X is W, what is the

value of (x-w) / (w-y) = ?

(a)

(b)

(c)

(d)

(e)

1/4

1/3

1/2

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9. One quarter of the workers at the factory are clerical, one fifth are technical, half

are administrative and the other 25 are managerial. How many workers total are

there in the factory?

(a)

(b)

(c)

(d)

(e)

250

366

400

500

2500

10. The price of a product is $a. Bill bought s products and then sold 80 percents of

them $b. which of the following represents the whole deal if Bill’s profit was three

times the cost?

(a)

(b)

(c)

(d)

(e)

0.8sb = 4sa.

(1-0.8)s –ab = 3s.

3(0.8a – sb) = sa.

(s-0.8s)(b-a) = 3.

(s0.8s) / (b-a) = 3.

11. X equals to Y% of what number?

(1) X = 3Y.

(2) 6Y+2X = 56X/14.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

12. Which expression is larger 1/(5 - X) or X/5?

(1) X < 8.

(2) X > -8.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

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(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

13. X is a two-digit number. If the ratio between the units digit and the tens digit is 1

to 2, what is the value of X?

(1) The sum of the digits multiplied by the tens digit is 54.

(2) The product of the digits divided by 2 is 9.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

14. A grocer bought 24Kg of coffee beans at price X. After a while one third of the

stock got spoiled so he sold the rest for 200$ per Kilo and made a total profit of

twice the cost. What must be price X?

(a)

(b)

(c)

(d)

(e)

66 2/3$.

50 1/3$.

44 4/9$.

33 1/3$.

24 1/2$.

15. Kenny is three times older than Bob. In P years he will be twice older than Bob

will be Q years later. Which of the following represents Kenny’s age comparing to

Bob’s? (If X = Kenny’s age)

(a)

(b)

(c)

(d)

(e)

X + P = 6X(P+Q).

2(X+P) = 3X + Q.

(X+P)/2 = X/3 + P + Q.

3(X+P+Q) = 2X.

3X = 2(P + Q).

16. A Cuban cigar would cost 1 dollar less than 1.5 times a French cigar, had the

French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents

more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars.

What is the price of the French cigar?

(a) 16.7$.

(b) 23$.

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(d) 35$.

(e) 37.4$.

17. Ashley paid 5 dollars for 1 notebook and 1 pencil. If both prices were integers,

how many pencils did Ashley buy if she paid 93 dollars for the pencils and for 15

notebooks?

(a)

(b)

(c)

(d)

(e)

16.

18.

21.

26.

18. What percent is X of Y?

(1) Y is bigger than 2X by 54.

(2) X is smaller than 3Y by 72.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

19. A store bought Q windows at $150 per window and W shelves at $75 per shelve.

What is the total price of the windows and the shelves?

(1) The Q windows cost $600.

(2) Q + W/2 = 12.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

20. What is the perimeter of a rectangle having an area of 60?

(1) The length and width of the rectangle are even integers smaller than 25.

(2) The length of the rectangle is larger than three times the width.

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(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

21. X is a positive integer, is X even?

(1) 9X2 is divisible by 4.

(2) 3X + 2 is divisible by 8.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

22. The sum of the ages of 22 boys and 24 girls is 160.What is the sum of ages of one

boy plus one girl, if all the boys are of the same age and all the girls are of the same

age, and only full years are counted?

(a)

(b)

(c)

(d)

(e)

23. X percents of the rooms are suits, and Y Percents of the rooms are painted light

blue?

Which of the following best represents the least Percentage of the light blue painted

suits?

(a)

(b)

(c)

(d)

(e)

X-Y.

Y-X + 100.

100X-Y.

X+Y-100.

100-XY.

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24. David bought 13 BMW cars for a total price of 1,105,000 dollars. If he wants to

make a profit of 39,000 dollars in the deal, at what price should he sell one car?

(a)

(b)

(c)

(d)

(e)

85,000$.

88,000$.

94,000$.

124,000$.

139,000$.

25. Loren bought a roll of cloth and sold it for a 5% profit based on the selling price.

If Loren‘s profit was $45.5 total on the cloth, how much did it cost her to buy the

cloth?

(a)

(b)

(c)

(d)

(e)

$455.

$525.5.

$675.

$810.5.

$864.5.

26. X is a positive integer, is X even?

(1) 9X2 is divisible by 4.

(2) 3X + 2 is divisible by 8.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

27. If 10% of the employees of the state fare are police officers, what is the number

of employees who are not police officers?

(1) 5% of the police officers employed in the fare are woman.

(2) 45% of the employees at the state fare are woman.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

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(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

28. In a recent tender, X people participated. 35% of the X people, who made an

offer won the specific tender they participated in. 70% of the rest, were

disappointed from the result of the tender. Which of the following expressions

represents the number of people who weren’t disappointed although they didn’t win

the tender?

(a)

(b)

(c)

(d)

(e)

39X/200.

25X/50.

19.5X/200.

35X/250.

90X/200.

29. What is 0.01 x 5 x 0.03 in terms of percent?

(a)

(b)

(c)

(d)

(e)

15%

1.5%

0.15%

0.015%

0.0015%

30. In a barrel of juice there is 30 liters; in a barrel of beer there are 80 liters. If the

price ratio between a barrel of juice to a barrel of beer is 3:4, what is the price ratio

between one liter of juice and one liter of beer?

(a)

(b)

(c)

(d)

(e)

3:2.

2:1.

3:1.

4:3.

3:4.

31. Is X greater than 1?

(1) X > X2.

(2) –X < -X2.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

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32. What is the sum of 7 consecutive integers?

(1) The median of the seven integers is 8.

(2) One of the integers is 7.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

33. M is a positive integer, is M odd?

(1) 2M3 + 2M is divisible by 8.

(2) M + 10 is divisible by 10.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

34. From the starting point in a boat race, one competitor started to sail north at a

speed of 1.6 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h.

What is the distance in Km between the two competitors after 5 hours?

(a)

(b)

(c)

(d)

(e)

10.

12.

12.5.

14.

15.4.

35. George can fill Q cans of paint in 3 minutes. If there are R cans of paint in one

gallon, how many gallons can George fill in 45 minutes?

(a)

(b)

(c)

(d)

30R/Q.

15R/Q.

30Q/R.

5Q/R.

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(e) 15Q/R.

36. If (4 # 2 = 14) and (2 # 3 = 6), what can replace (a # b)?

(a)

(b)

(c)

(d)

(e)

ab.

(a+3)b

a2 – b.

ab – 2.

ba + 1.

37. In a rectangular coordinate system, what is the square root of the area of a

trapezoid whose vertices have the coordinates (2, -2), (2, 3), (20, 2), (20, -2)?

(a)

(b)

(c)

(d)

(e)

7.5

10.22

12.25

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GMAT Test 3

37 questions – 75 minutes

1. An investment yields an interest payment of $68 each week. If the simple annual

interest rate is 7.5%, what is the amount of the investment assuming there only 48

weeks are calculated in a year?

(a)

(b)

(c)

(d)

(e)

$28,600

$30,430

$34,330

$37,860

$43,520

2. The flying acrobatic team is made up of 120 airplanes. The team wants to form a

rectangular formation with X planes in a row and Y planes in a column. If the

number of airplanes in a row is no less than 4 and no more than 30, how many

different combinations of rectangular shapes are possible?

(a)

(b)

(c)

(d)

(e)

10.

3. A storeowner estimates that the average price of type A products will increase by

25% next year and that the price of type B products will increase by 10% next year.

This year, the total amount paid for type A products was $4500 and the total price

paid for type B products was $8300. According to the store owner’s estimate, and

assuming the number of products purchased next year remains the same as that of

this year, how much will be spent for both products next year?

(a)

(b)

(c)

(d)

(e)

$14,755

$15,325

$16,000

$16,225

$17,155

4. If a cube has a volume of 64 cubic feet, what is its lateral area?

(a)

(b)

(c)

(d)

(e)

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5. Is the integer X even?

(1) X is divisible by 7.

(2) X is divisible by 11.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

6. Is the product XY divisible by 22?

(1) X is divisible by 4.

(2) Y is divisible by 11.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

7. A seven-digit combination lock on a safe has zero exactly three times, does not

have the digit 1 at all. What is the probability that exactly 3 of its digits are odd?

(a)

(b)

(c)

(d)

(e)

1/2

1/3

1/6

4/16

9/16

8. Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If

pipe A was opened at 8:00 am and Pipe B at 9:00 am, at what time will the pool be

full?

(a)

(b)

(c)

(d)

(e)

15:00

17:00

18:00

19:00

20:00

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9. What is the value of (a+b)?

(1) a2-b2=133.

(2) a-b=7.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

10. What is the value of X+Z?

(1) X+Y=11

(2) Z+Y=13

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

11. What was the total amount John earned on his two investments?

(1) John received an annual interest of 5% on one investment and 13% on the other.

(2) John invested a total of $15,000 on both investments.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

12. What is the sum of the two smallest integers in a set of different positive

integers?

(1) There are 4 integers in the set.

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(2) The average of the integers in the set is 3.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

13. In a school with 5 classes, each class has 2 students less then the previous class.

How many students are there in the largest class if the total number of students at

school is 95?

(a)

(b)

(c)

(d)

(e)

14. A cylindrical ice cream container is half filled with ice cream. A second ice

cream container, half the size of the first one is filled to three quarters of its volume

with ice cream. What fraction of the total volume of the two containers is filled with

ice cream?

(a)

(b)

(c)

(d)

(e)

9/12

7/12

2/3

5/6

15/24

15. A 48 gallon solution of salt and water is 10% salt. How many gallons of water

must be added to the solution in order to decrease the salt to 8% of the volume?

(a)

(b)

(c)

(d)

(e)

16. Five years ago, the average age of the X students in the class was n. What is their

average age now, if Y more students whose average age was also n five years ago,

joined the class?

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(a)

(b)

(c)

(d)

(e)

n+5

n-5

(x + y)/2 + 5

(x + y)/2 - 5

None of the above

17. The “Racing magic” takes 120 seconds to circle the racing track once. The

“Charging bull” makes 40 rounds of the track in an hour. If they left the starting

point together, how many minutes will it take for them to meet at the starting point

for the second time?

(a)

(b)

(c)

(d)

(e)

18. If cookies are put in a jar and the jars of cookies are packed in a carton box, how

many cookies does one carton box contain?

(1) Every carton box is filed to half its volume.

(2) Twenty cookies are put in each jar, and 12 jars are put in each carton box.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

19. If X and Y are integers, what is the value of X?

(1) 6X = 4 – 9Y

(2) 4/3 – 3Y = 2X

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

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20. A restaurant spends one quarter of its monthly budget for rent and half of the

rest for food and beverages. What percentage of the budget does the restaurant

spend for food and beverages?

(a)

(b)

(c)

(d)

(e)

23.5%

32.5%

35%

37.5%

75%

21. If x oranges cost as much as y peaches do, and peaches cost 24 cents each, how

many dollars does each orange cost?

(a)

(b)

(c)

(d)

(e)

2400 / (xy)

24y / x

100y / 24x

24y / 100x

y / 24x

22. The sum of the volumes of three spheres, each with radius r, equals to the

volume of a single sphere with radius R. What is the ratio between r and R?

(a) 1:

(b)

(c)

(d)

(e)

1: 3

1:2

1: 3 2

1:3

23. If x and y are primes, and x@y=(1/x + 1/y), is x@y < 1?

(1) x=y

(2) x+y=4

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

24. A ball with a diameter of 10 cm is inscribed inside a rectangular box so that it

touches all internal faces of the box. What is the volume trapped between the box

and the ball?

(1) The box is a cube

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(2) The surface area of the box is 600 cm2.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

25. A rectangular box is inscribed inside a cylinder. Both the width and length of the

box is 2 cm. What is the volume of the cylinder?

(1) The volume of the box is 20 cm3.

(2) The radius of the cylinder is 2 .

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

26. A car travels a distance of 160 miles in 2 hours and 40 minutes, what is the speed

of the car in miles per hour?

(a)

(b)

(c)

(d)

(e)

116

120

27. If 16X+7 = 26 X+18 , what is x?

(a)

(b)

(c)

(d)

(e)

28. In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum

of the three numbers preceding it. What is x+y?

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(a)

(b)

(c)

(d)

(e)

-5

-1

29. John has $1,600 at the beginning of his trip, after spending money, he still has

exactly $800 less than he spent on the trip. How much money does John still have?

(a)

(b)

(c)

(d)

(e)

$200

$400

$600

$800

$1,200

30. The odds of winning first prize at the casino are 1 to 200. The odds of winning

second prize are 1 to 100 and of winning third prize are 1 to 50. If no one person can

win more than one of the prizes, what is the probability of not winning the first,

second or third prize?

(a)

(b)

(c)

(d)

(e)

14/200

47/50

193/200

7/200

97/200

31. A cube has three of its faces painted half red, half white. The other three faces

are completely painted white. What is the ratio between the total red painted and

the total white painted areas of the cube?

(a)

(b)

(c)

(d)

(e)

1:6

3:6

1:2

1:4.5

1:3

32. There are X watermelons of 10 Kg each, and Y Watermelons of R Kg each. The

average weight of a watermelon is 12 Kg. What is the value of R?

(1) There are five heavier watermelons more than lighter watermelons.

(2) The weight of the heavier watermelons in Kg is equal to their number.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

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even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

33. The average height of a group of children is 125 cm. If one of the children leaves,

the average height drops by 2 cm. how many kids were there originally?

(1) The height of the child who left is twice greater than the height of the shortest

child.

(2) The height of the child who left is 130 cm.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

34. P is the standard deviation of the heights of NBA basketball players. R is the

standard deviation of the heights of 8 weight lifters. Is the average height of the

NBA players greater than the average height of the weight lifters?

(1) R>P

(2) There are 5 basketball players that are taller than the tallest weight lifter, and 2

players that are shorter than the shortest weight lifter.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

35. The average monthly income of 14 younger workers is X, Together with 60 older

workers, the average monthly income of the workers rose to Y. what is the average

monthly income of the older workers?

(1) The factory’s monthly budget for all salaries is 300,000$, which is 10 times the

salary budget for the younger workers.

(2) The monthly income of all the workers is 10 times the younger workers income.

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(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

36. One out of every 500 light bulbs are defected. If 2 out of every 10 defected light

bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment,

how many light bulbs total are there in the shipment?

(a)

(b)

(c)

(d)

(e)

2,000

5,000

10,000

50,000

52,000

37. If a is an even integer and b is an odd integer, what must the expression

be?

(a) Always even

(b) Always odd

(d) Could be a fraction

(e) Always an integer

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GMAT Test 4

37 questions – 75 minutes

1. A salesperson gets a 15% commission on each sale he makes. How many sales of

$270 each must he make in order to reach a salary of at least $1000?

(a)

(b)

(c)

(d)

(e)

2. In how many different ways can five people be seated on a five-seat bench if two

of them must sit next to each other?

(a)

(b)

(c)

(d)

(e)

120

240

480

3. Liqueur A contains 24% of alcohol. What is the alcohol concentration of the

mixed cocktail of liqueur A and B?

(1) The mixing ratio of liqueur A and B is 1:4

(2) The alcohol concentration of liqueur B is 1.5 times greater than the alcohol

concentration of the mixed cocktail.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

4. What is the average height of X buildings, each with height P meters, and 4X

buildings each with height P/2?

(1) X = 5, P = 35.

(2) P = 40.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

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(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

5. A, B, C and D are four consecutive points on a straight line. What is the distance

between A to D?

(1) AC = 6.

(2) BD = 8.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

6. The area of an isosceles trapezoid with sides of length 5 and bases of length 8 and

14 is?

(a)

(b)

(c)

(d)

(e)

7. One gallon of soft drink is made of 40% orange juice and 60% water, how many

additional gallons of orange juice must be mixed in to make the orange juice 60% of

the soft drink?

(a)

(b)

(c)

(d)

(e)

0.5

1.25

1.5

8. A merchant gets a 5% discount on each meter of fabric he buys after the first

2,000 meters and a 7% discount on every meter after the next 1,500 meters. The

price, before discount, of one meter of fabric is $2, what is the total amount of

money the merchant spends on 4,500 meters of fabric?

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(a)

(b)

(c)

(d)

(e)

$8,617

$8,710

$8,810

$8,835

$8,915

9. If X, Y and Z are positive integers, is X greater than Z – Y?

(1) X – Z – Y > 0.

(2) Z2 = X2 + Y2.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

10. Zigfield bought his car using M% of his bank savings. He also bought a house

that costs 4 times the price of the car. What is the price of the house?

(1) M = 12.

(2) The price of the car and the house was $140,000.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

11. On a summer camp, 25% of the campers paid $120 each, 35% paid $80 each and

the rest paid $65 each. What percentage of the total amount paid came from the

campers who paid $80?

(a)

(b)

(c)

(d)

(e)

18%

21%

26%

33.3%

37.5%

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12. A snail, climbing a 20 feet high wall, climbs up 4 feet on the first day but slides

down 2 feet on the second. It climbs 4 feet on the third day and slides down again 2

feet on the fourth day. If this pattern continues, how many days will it take the snail

to reach the top of the wall?

(a)

(b)

(c)

(d)

(e)

13. John spent a total of $135 on baseball tickets. The price of a ticket is either $12

for the field seats or $5 for the balcony. What is the minimum amount of dollars he

could have spent for the $12 tickets?

(a)

(b)

(c)

(d)

(e)

$48

$60

$84

$96

$120

14. One of the solutions of the equation X2-X-k=5, is –3. What is the other solution of

the equation?

(a)

(b)

(c)

(d)

(e)

-4

15. Is the largest of 7 consecutive numbers odd?

(1) The product of the seven numbers is zero.

(2) The sum of the seven numbers is zero.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

16. If X and Y are positive integers, what is the ratio between Y and X?

(1) XY = 150.

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(2) Y is 22% of X.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

17. What is the value of (X2 + Y2)?

(1) (X – Y)2 = 36.

(2) (X + Y)2 = 48.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

18. There are X dogs in the dog hound, each dog eats Y Kg of food every day. What

percent of the total food weight does each dog eat?

(1) If there were 3 dogs less then each dog could eat 1.2 Kg more than he is does

now.

(2) If there were half the dogs, each dog could eat 3 Kg more than he is does now.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

19. What is the sum of all even integers between 30 and 50, inclusive?

(a) 640

(b) 540

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(d) 440

(e) 240

20. The price (p) of product X depends on the yearly number of units produced (n)

according to the following formula: p = (500-n) / 10. What will the estimated price

per unit be next year if an estimated number of 260 units will be sold?

(a)

(b)

(c)

(d)

(e)

240

21. John must arrange 3 different physics books and 3 different mathematics books

on one shelf. If the first book on the leftmost side is a mathematics book and no

physics book is next to another physics book, how many different arrangements

exist?

(a)

(b)

(c)

(d)

(e)

120

720

22. An investor receives a total combined return of 7% on his two different

investments. On his $10,000 investment he receives a return of 6%. What is the

return on his $20,000 investment?

(a)

(b)

(c)

(d)

(e)

7.25%

7.5%

8.5%

23. What is the probability of getting an identical result on three consecutive tosses

of a coin?

(a)

(b)

(c)

(d)

(e)

1/2

1/4

1/8

1/16

1/2 + 1/4

24. If x and y are positive integers, is 5x(1/4)y < 1 ?

(1) Y = 3x.

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(2) X = 2.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

25. If A is a prime number, what is the value of A?

(1) 0 < A < 10.

(2) (A – 2) is divisible by 3.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

26. What is the value of (A/5 + B/5)?

(1) A + B = 100.

A+ B

(2)= 10 .

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

27. A salesperson receives a base salary of $1000 per month and a commission of

7.5% of the selling price of each item sold above the first 50 items. If this month she

sold 210 items for $150 each, what will her monthly salary be?

(a) $1,500

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(b)

(c)

(d)

(e)

$1,800

$2,100

$2,500

$2,800

28. What is the probability that the sum of the results when two dice are rolled

simultaneously will be 9?

(a)

(b)

(c)

(d)

(e)

1/3

7/36

1/6

10/36

1/9

29. What is the units’ digit of the following expression (13) 5(15) 4(17) 5?

(a)

(b)

(c)

(d)

(e)

30. Is B 3 ≥ B 2 ?

(1) B is an integer.

(2) B is positive.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

31. If Peter spends $460 on three pairs of shoes, how much did the least expansive

shoes cost?

(1) The ratio between the most expansive shoes to the least expansive shoes is 3 to 1.

(2) The ratio between the least expansive shoes to all the other ones is 1 to 5.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

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even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

32. What percent of 20 is Y?

(1) 50 percent of Y is 5.

(2) Y percent of 200 is 20.

(a) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by

itself is not.

(b) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by

itself is not.

even though NEITHER statement BY ITSELF is sufficient.

(d) Either statement BY ITSELF is sufficient to answer the question.

(e) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the

question, requiring more data pertaining to the problem.

33. What is the number of different ways to choose a chairman, two deputies and

two assistants for the class committee out of 7 students up for election?

(a)

(b)

(c)

(d)

(e)

210

630

840

2520

34. A factory has a fixed cost of $45,000 a month, and a cost of $2.5 for every item

produced. If the selling price of a single item is $5, what is the number of items must

be sold monthly for the factory to cover its cost exactly?

(a)

(b)

(c)

(d)

(e)

9,000

14,000

18,000

22,500

27,000

35. John traveled 80% of the way from Yellow-town to Green-fields by train at an

average speed of 80 miles per hour. The rest of the way John traveled by car at an

average speed of v miles per hour. If the average speed for the entire trip was 60

miles per hour, what is v in miles per hour?

(a) 30

(b) 40

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(d) 55

(e) 70

36. The ratio between the number of sheep and the number of horses at the Stewart

farm is 4 to 7, If each horse is fed 230 ounces of horse food per day and the farm

needs a total 12,880 ounces of horse food per day, what is the number of sheep in the

farm?

(a)

(b)

(c)

(d)

(e)

37. The volume of water inside a swimming pool doubles every hour. If the pool is

filled to its full capacity within 8 hours, in how many hours was it filled to one

quarter of its capacity?

(a)

(b)

(c)

(d)

(e)

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