What is the value of the integer x?
(1) x is a prime number.
(2) 31 <= x < 37
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Thursday, March 16, 2006
DS - woman's age (sensitive matter)
In what year was Ellen born?
(1) Ellen's brother Pete, who is 1+1/2 years older than Ellen, was born in 1956.
(2) In 1975 Ellen turned 18 years old.
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
(1) Ellen's brother Pete, who is 1+1/2 years older than Ellen, was born in 1956.
(2) In 1975 Ellen turned 18 years old.
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
DS - relative movement of two cars
While on a straight road, car X and car Y are travelling at different constant rates. If car X is now 1 mile ahead car Y, how many minutes from now will car X be 2 miles ahead of car Y?
(1) Car X is travelling at 50 miles per hour and car Y is travelling at 40 miles per hour
(2) 3 minutes ago car X was 1/2 mile ahead of car Y
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
(1) Car X is travelling at 50 miles per hour and car Y is travelling at 40 miles per hour
(2) 3 minutes ago car X was 1/2 mile ahead of car Y
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
DS - algebraic equation
Is ax = 3- bx?
(1) x(a+b)=3
(2) a=b=1.5 and x=1
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
(1) x(a+b)=3
(2) a=b=1.5 and x=1
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
DS - bookrack capacity
I..........x.........I
-------------------
(consider a bookrack with length x)
Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack?
(1) x = 50 centimeters
(2) Twelve of the volumes have an average (average men) thickness of 5 centimeters,
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
-------------------
(consider a bookrack with length x)
Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack?
(1) x = 50 centimeters
(2) Twelve of the volumes have an average (average men) thickness of 5 centimeters,
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
DS - number product
If w+z = 28, what is the value of wz?
(1) w and z are positive integers.
(2) w and z are consecutive odd integers
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
(1) w and z are positive integers.
(2) w and z are consecutive odd integers
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
DS - triangle internal angles
(consider a triangle with internal angles x, y and z)
Is the triangle equilateral?
(1) x = y
(2) z=60
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Is the triangle equilateral?
(1) x = y
(2) z=60
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
DS - jar with color marbles
A jar contains 30 marbles, of which 20 are red and 10 are blue. If 9 of the marbles are removed, how many of the marbles left in the jar are red?
(1) Of the marbles removed, the ratio between the number of red ones to the number of blue ones is 2:1.
(2) Of the first 6 marbles removed, 4 are red.
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
(1) Of the marbles removed, the ratio between the number of red ones to the number of blue ones is 2:1.
(2) Of the first 6 marbles removed, 4 are red.
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
DS - sweaters shop inventory
Last Friday a shop sold 3/4 of the sweaters in its inventory. Each sweater sold for $20. What was the total revenue last friday from the sale of these sweaters?
(1) When the shop opened last friday, there were 160 sweaters in its inventory.
(2) All but 40 sweaters in the shop's inventory were sold last friday.
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
(1) When the shop opened last friday, there were 160 sweaters in its inventory.
(2) All but 40 sweaters in the shop's inventory were sold last friday.
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 TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
integer, positive int, negative int, whole numbers definition for GMAT
Integers, Natural Numbers and Whole Numbers
The numbers {... −3, −2, −1, 0, 1, 2, 3, ...} form the set of integers.
The notation { } indicates 'set' or collection, and the three dots indicate that the list continues endlessly to infinity.
The numbers {1, 2, 3, 4, ...} form the set of positive integers (also called natural numbers or counting numbers).
The numbers {−1, −2, −3, ...} form the set of negative integers.
The number 0 is an integer which is neither positive nor negative. It is usually not considered a counting number.
The numbers {0, 1, 2, 3, ...} form the set of whole numbers, i.e. the set of positive integers and zero.
Saturday, February 18, 2006
aprender a pensar
Uma das dificuldades que muitos candidatos portugueses sentem diante de uma prova como o GMAT decorre de uma falha cada vez mais manifesta do nosso sistema de ensino: de uma forma geral não ensina a pensar; e falha especialmente no que toca ao desenvolvimento do raciocínio lógico-matemático, ao desenvolvimento de competências discursivas de clareza e objectividade.
Todas estas competências são essenciais não apenas à realização de um trabalho científico em rede, portanto partilhado, mas também a projectos multidisciplinares, plurianuais em que uma parte substancial da comunicação e registo de informação ainda utiliza e utilizará sempre texto.
Daí a grande frequência de problemas que ainda hoje ocorrem por um deficiente uso da linguagem técnica ou... da linguagem, simplesmente. E como se pode exprimir claramente um pensamento quando ele próprio se encontra deficientemente elaborado? Do exposto resulta claramente a importância de provas como o GMAT exigidas a todo os candidatos a MBA e progressivamente a cada vez mais lugares com responsabilidades dirigentes nos sectores público e privado.
Todas estas competências são essenciais não apenas à realização de um trabalho científico em rede, portanto partilhado, mas também a projectos multidisciplinares, plurianuais em que uma parte substancial da comunicação e registo de informação ainda utiliza e utilizará sempre texto.
Daí a grande frequência de problemas que ainda hoje ocorrem por um deficiente uso da linguagem técnica ou... da linguagem, simplesmente. E como se pode exprimir claramente um pensamento quando ele próprio se encontra deficientemente elaborado? Do exposto resulta claramente a importância de provas como o GMAT exigidas a todo os candidatos a MBA e progressivamente a cada vez mais lugares com responsabilidades dirigentes nos sectores público e privado.
Friday, February 17, 2006
EC - Safe Drinking Water Act
Under the Safe Drinking Water Act, the Envronment Protection Agency is required either to approve individual state plans for controlling the discharging of wastes into underground water or that they enforce their own plans for states without adequate regulations.
A. that they enforce their
B. for enforcing their
C. they should enforce their
D. it should enforce its
E. to enforce its
A. that they enforce their
B. for enforcing their
C. they should enforce their
D. it should enforce its
E. to enforce its
EC - seventeenth-century colonists
Samuel Sewall viewed marriage, as other seventeenth-century colonists, like a property arrangement rather than an emotional bond based on romantic love.
A. Samuel Sewall viewed marriage, as other seventeenth-century colonists, like a property arrangement rather than
B. As did other seventeenth-century colonists, Samuel Sewall viewed marriage to be a property arrangement rather viewing it as
C. Samuel Sewall viewed marriage to be a property arrangement , like other seventeenth-century colonists, rather than viewing it as
D. Marriage to Samuel Sewall, like other seventeenth-century colonists, was viewed like a property arrangement rather than
E. Samuel Sewall, like other seventeenth-century colonists, viewed marriage as a property arrangement rather than
A. Samuel Sewall viewed marriage, as other seventeenth-century colonists, like a property arrangement rather than
B. As did other seventeenth-century colonists, Samuel Sewall viewed marriage to be a property arrangement rather viewing it as
C. Samuel Sewall viewed marriage to be a property arrangement , like other seventeenth-century colonists, rather than viewing it as
D. Marriage to Samuel Sewall, like other seventeenth-century colonists, was viewed like a property arrangement rather than
E. Samuel Sewall, like other seventeenth-century colonists, viewed marriage as a property arrangement rather than
EC (expression correctness) doctor malpractice
A patient accusing a doctor of malpractice will find it dificult to prove damage if there is a lack of some other doctor to testify about proper medical procedures.
A. if there is a lack of some other doctor to testify
B. unless there will be another doctor to testify
C. without another doctor's testimony
D. should there be no testimony fromsome other doctor
E. lacking another doctor to testify
A. if there is a lack of some other doctor to testify
B. unless there will be another doctor to testify
C. without another doctor's testimony
D. should there be no testimony fromsome other doctor
E. lacking another doctor to testify
PS - hiker walk
A hiker walked for two days. On the second thay the hiker 2 hours longer and at an average speed 1 mile per hour (mph) faster than he walked the first day. If during the two days he walked a total of 64 miles and spent a total of 18 hours walkingm what was his average speed on the first day?
A. 2 mph
B. 3 mph
C. 4 mph
D. 5 mph
E. 6 mph
A. 2 mph
B. 3 mph
C. 4 mph
D. 5 mph
E. 6 mph
PS - inequality area in a x,y plane
In the rectangular coordinate system shown above, which quadrant, if any, contains NO point (x,y) that satisfies the inequality 2x-3y<=(-6) ?
A. none
B. quadrant I
C. quadrant II
D. quadrant III
E. quadrant IV
PS - car value depreciation
In 1986 the book value of a certain car was 2/3 of the original price, and in 1988 its book value was 1/2 of the original price. By what percentage did the book value for this car decrease from 1986 to 1988?
A. 16(2/3)%
B. 25%
C. 33(1/3)%
D. 50%
E. 75%
A. 16(2/3)%
B. 25%
C. 33(1/3)%
D. 50%
E. 75%
PS - ration between decreased quantities
The ratio of two quantities is 3 to 4. If each of these quantities is decreased by 5, what is the ratio of these two new quantities?
A. 3/4
B. 8/9
C. 18/19
D. 23/24
E. It cannot be determined from the information given
A. 3/4
B. 8/9
C. 18/19
D. 23/24
E. It cannot be determined from the information given
PS - tagged fish catch
In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
A. 400
B. 625
C. 1250
D. 2500
E. 10000
A. 400
B. 625
C. 1250
D. 2500
E. 10000
PS - Nationwide poll
In a nationwide poll, N people were interviewed. If 1/4 of them said "yes" to question 1, and of those, 1/3 answered "yes" to question 2, which of the following questions represents the number of people interviewed that did NOT answer "yes" to both questions?
A. N/7
B. 6N/7
C. 5N/12
D. 7N/12
E. 11N/12
A. N/7
B. 6N/7
C. 5N/12
D. 7N/12
E. 11N/12
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