gmat test

GMAT TEST Nguyễn Tuấn Linh

GMAT TESTSECTION 1- PROBLEM SOLVING

Time – 35 minutes, 20 questions

Numbers: All numbers used are real number

Question 1:If n is a positive integer and k + 2 = 3n, which of the following could NOT be a

value of k?A) 1B) 4C) 7D) 25E) 79

Question 2:The hexagon ABCDEF is regular. That means all its sides are the same length and

all its interior angles are the same size. Each side of the hexagon is 2 feet. What is the area of the rectangle BCEF?

A) 4 square feetB) 43 square feetC) 8 square feetD) 4 + 43 square feetE) 12 square feet

Question 3:In which of the following pairs are the two numbers reciprocals of each other?I. 3 and 1/3II. 1/17 and -1/17III. 3 and 3/3

A) I onlyB) II onlyC) I and IID) I and IIIE) II and III

Question 4:If a triangle has base B and the altitude of the triangle is twice the base, then the

area of the triangle isA) (½)ABB) ABC) (1/2)B2

D) B2

E) 2B2

Question 5:A store currently charges the same price for each towel that it sells. If the current

price of each towel were to be increased by $1, 10 fewer of the towels could be bought for $120, excluding sales tax. What is the current price of each towel?

A) $1B) $2C) $3D) $4

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E) $12Question 6:

Which of the following groups of numbers could be the length of the sides of a right triangle?

I. 1, 4, 17II. 4, 7, 11III. 4, 9, 6

A) I onlyB) I and II onlyC) I and III onlyD) II and III onlyE) I, II and III

Question 7:A colony of 15000 ants increased by 50% after being fed. After 4 weeks without

food, the number of ants dropped by 60%. What percentage decline did the original population undergo?

A) 110%B) 55%C) 50%D) 40%E) 10%

Question 8:In Country X a returning tourist may import goods with a total value of $500 or

less tax free, but must pay an 8 percent tax on the portion of the total value in excess of $500. what tax must be paid by a returning tourist who imports goods with a total value of $730?

A) $58.40B) $40.00C) $24.60D) $18.40E) $16.00

Question 9-10:Ellen to Ralph: I’m not going to play with your cat because I’ll be sneezing all

afternoon if I do. I’ve played with your cat three times, and each time I’ve sneezed all afternoon.

9. The argument above is most like which if the following arguments?A. Empiricism must have developed later than rationalism, because it

developed as a reaction to rationalism.B. Drug X increases fertility in humans. Every woman given the drug in tests

gave birth to more than one child.C. The dumping of chemicals into the lake two months ago caused the present

dying off of the fish. No fish died in the lakes into which no chemicals were dumped.D. The committee’s report must have been valid, because it predicted that a

crisis would develop, and that is exactly what has happened.E. Joe’s fiancée must be allergic to roses. Every time the he takes her roses,

she becomes weepy.10. Ellen’s argument would be most strengthened if it is also true that

A. Ralph also sneezes after playing with his catB. Ellen never sneezes just before playing with Ralph’s cat

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C. Ellen also sneezes after playing with Dan’s dogD. Ellen sneezes only after playing with Ralph’s catE. Ralph’s cat also sneezes after playing with Ellen

Question 11:The ratio of chickens to pigs to horses on a farm can be expressed as the triple

ratio 20:4:6. if there are 120 chickens on the farm, then the number of horses on the farm is

A) 4B) 6C) 24D) 36E) 60

Question 12:What is 0.04 0.03 in terms of percent?A) 12%B) 1.2%C) 0.12%D) 0.012%E) 0.0012%

Question 13:ABCD is a rectangle. The length of BE is 4 and the length of EC is 6. the area of

triangle BEA plus the area of triangle DCE minus the area of triangle AED isA) 0B) 0.4 of the area of triangle AEBC) 0.5 of the area of triangle AEDD) 0.5 of the area of ABCDE) Cannot be determined

Question 14:It costs x¢ each to print the first 600 copies of a newspaper. It costs (x – (y/10))¢

for every copy after the first 600. How much does it cost to print 1500 copies of th newspaper?

A) 1500x¢B) 150¢C) (1500x - 90y)¢D) $(150x – 9y)E) $15x

Question 15:If the total payroll expense of a certain business in year Y was $84000, which was

20 percent more than in year X, what was the total payroll expense in year X?A) $70000B) $68320C) $64000D) $60000E) $52320

Question 16:Today’s high school students are not being educated, they are being trained. Their

teachers demand little of them other than that they memorize facts and follow directions. The current emphasis on training n basic math and verbal skills, while a useful step, rarely leads to the essential second step: development of independent

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critical thinking. The author would probably consider which of the following aspects of a student’s term paper to be most praiseworthy?

A. The choice of a challenging topicB. The use of grammatically correct sentence ctructureC. Evidence of extensive research prior to writingD. Avoidance of clichés and vaguenessE. Evidence of original insights and freshly developed concepts

Question 17:Joan started work 2 year ago. Her starting salary was ½ of Mike’salary at that

time. Each year since then Joan has received a raise of 5% in her salar and Mike has received a raise of 10% in his salary. What percentage (to the nearest percent) of Mike’s current salary is Joan’s current salary?

A) 45B) 46C) 48D) 50E) 220

Question 18:If (t-8) is a factor of t2 – kt – 48, then k =A) -6B) -2C) 2D) 6E) 14

Question 19:If x2 = 2y3 and 2y = 4, what is the value of x2 + y?A) -14B) -2C) 3D) 6E) 18

Question 20:In a certain contest, Fred must select any 3 of 5 different gifts offered by the

sponsor. From how many different comdinations of 3 gifts can Fred make his selection?

A) 10B) 15C) 20D) 30E) 60

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GMAT TESTSection 2 - Data Sufficiency

Time – 35 minutes25 Questions

Directions: Each of the data sufficiency problems below 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 the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you are to fill in oval.

A. If statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;

B. If statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;

C. If BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient;

D. If EACH statement ALONE is sufficient to answer the question asked;E. If statement (1) and (2) TOGETHER are NOT sufficient to answer the

question asked and additional data specific to the problem are needed.

Numbers: All numbers used are real numbers.Figures:

- A figure in a data sufficiency problem will conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2).

- You may assume that lines shown as straight are straight and that angle measures are greater than zero.

- You may assume that the positions of points, angles, regions, etc, … exist in the order shown.

- All figures lie in a plane unless otherwise indicated.

Note: In questions that ask for the value of a quantity, the data given in the statements are sufficient only when it is possible to determine exactly one numerical value for the quantity.

Example:In ∆PQR, what is the value of x?(1) PQ = PR(2) y = 40

Explanation: According to statement (1), PQ = PR; therefore, ∆PQR is isosceles and y = z. Since x + y + z = 180, it follows that x + 2y = 180. Since statement (1) does not given a value for y, you cannot answer the question using statement (1) alone. According to statement (2), y = 40; therefore, x + z =140. Since statement (2) does not given a value for z, you cannot answer the question using statement (2) alone. Using both statement together, since x + 2y = 180 and the value of y is given, you can find the value of x. Therefore, the answer is C.

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A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statement (1) and (2) TOGETHER are NOT sufficient.

Question 1Fifty student have signed up for at least one of the courses German I and English I. How many of the 50 students are taking German I but not English?(1) 16 students are taking German I and English I.(2) The number of students taking English I but not German I is the same as the number taking Gernam I not English I.

Question 2If r and s are intergers, is r divisible by 7?(1) The product rs is divisible by 7.(2) s is not divisible by 7.

Question 3How many intergers n are there such that r<n<s?(1) s – r = 5.(2) r and s are not intergers.

Question 4Yesterday Nan parked her car at a certain parking garage that charges more for the first hour than for each additional hour. If Nan’s total parking charge at the garage yesterday was $3.75, for how many hours of parking was she charge?1) Parking charges at the garage are $0.75 for the first hour and $0.50 for each additional hour or fraction of an hour.2) If the charge for the first hour had been $1.00, Nan’s total parking charge would have been $4.00

Question 5Is x greater than y?1) 3x = 2k.2) k = y2.

Question 6What is the value of n?1) n(n - 1)(n - 2) = 0.2) n2 + n – 6 = 0.

Question 7The only contents of a parcel are 25 photographs and 30 negatives. What is the total weight, in ounces, of the parcel’s content?1) The weight of each photograph is 3 times the weight of each negative2) The total weight of 1 of the photographs and 2 of the negatives is 1/3 ounce.

Question 8

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What is the value of x?1) When x is multiplied by 8, the result is between 50 and 602) When x is doubled, the result is between 10 and 15.

Question 9In ∆PQR, if PQ = x, QR = x + 2, and PR = y, which of the three angles of ∆PQR has the greatest degree measure?1) y = x + 3.2) x = 2.

Question 10The hexagon ABCDEF is inscribed in the circle with center O. What is the length of AB?1) The radius of the circle is 4 inches.2) The hexagon is a regular hexagon.

Question 11 What is the perimeter of rectangle Z?1) The width of Z is 8.2) the length of Z is twice the width of Z.

Question 12If both conveyer belt A and conveyer B are used, they can fill a hopper with coal in one hour. How long will it take for conveyer belt A to fill the hopper without conveyer belt B?1) Conveyer belt A moves twice as much coal as conveyer belt B.2) Conveyer belt B would take 3 hours to fill the hopper without belt A.

Question 13If Hans purchased a pair of skis and a ski jacket, what was the cost of the skis?1) The ratio of the cost of the skis to the cost of the jacket was 5 to 1.2) The total cost of the skis and the jacket was $360.

Question 14A sequence of numbers is given by the rule an = (an-1)2. What is a5?1) a1 = -1.2) a3 = 1.

Question 15Is the prime number p equal to 37?1) p = n2 + 1, where n is an integer.2) p2 is greater than 200. Question 16By what percent was the price of a certain candy bar increased?1) The price of the candy bar was increased by 5 cents.2) The price of the candy bar after the increased was 45 cents.

Question 17If n + k = m, what is the value of k?

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1) n = 10.2) m + 10 = n.

Question 18Which of the two figures, ABCD or EFGH, has the largest area?1) The perimeter of ABCD is longer than the perimeter of EFGH.2) AC is longer than EG.

Question 19 If x and y are positive, what is the value of x?1) x = 3.927y2) y = 2.279

Question 20The price per share of stock X increased by 10 percent over the same time period that the price per share of stock Y decreased by 10 percent. The reduced price per share of stock Y was what percent of the original price per share of stock X?1) The increased price per share of stock X was equal to the original price per share of stock Y.2) The increase in the price per share of stock X was 10/11 the decrease in the price per share of stock Y.

Question 21If x ≠ 1, is y equal to x + 1?1) (y – 2)/(x + 1) = 12) y2 = (x + 1)2.

Question 22Is x<y?1) z<y.2) z<x.

Question 23If the successive tick marks shown on the number line above are equally spaced and if x and y are the numbers designating the end points of intervals as shown, what is the value of y?1) x = ½.2) y – x = 2/3.

Question 24If n is an integer, then n is divisible by how many positive intergers?1) n is the product of two different prime numbers.2) n and 23 are each divisible by the same number of positive intergers.

Question 25The regular price for canned soup was reduced during a sale. How much money could one have saved by purchasing a dozen 7-ounce cans of soup at the reduced price rather at the regular price?1) The regular price for the 7-ounce cans was 3 for a dollar.2) The reduced price for the 7-ounce cans was 4 for a dollar.

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