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Re: If \(r\) and \(s\) are positive integers, can the fraction \(\dfrac{r}{s}\) be expressed as a decimal with only a fi

If \(r\) and \(s\) are positive integers, can the fraction \(\dfrac{r}{s}\) be expressed as a decimal with only a finite number of nonzero digits? (1) \(s\) is a factor of \(100.\) (2) \(r\) is a factor of \(100.\) Answer: A Source: Official Guide Target question : Is r/s a terminating decimal? Sta...


Re: Is it true that \(x > 0?\)

Is it true that \(x > 0?\) (1) \(x^2 = 2x\) (2) \(x^3 = 3x\) Answer: C Source: GMAT Prep Target question : Is it true that x > 0? Statement 1 : x² = 2x Rewrite as: x² - 2x = 0 Factor: x(x - 2) = 0 So, EITHER x = 0 OR x = 2 Let's examine each possible case Case a : If x = 0, then the answer to the t...

by [email protected]

Sun Sep 19, 2021 2:18 pm
Forum: Data Sufficiency
Topic: Is it true that \(x > 0?\)
Replies: 1
Views: 12

Re: What is the average (arithmetic mean) of eleven consecutive integers?

What is the average (arithmetic mean) of eleven consecutive integers? (1) The average of the first nine integers is \(7.\) (2) The average of the last nine integers is \(9.\) Answer: D Source: GMAT Prep There's a nice rule that says, "In a set where the numbers are equally spaced, the mean will equ...


Re: A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gro

A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gross revenue the film generates. In her last two roles, the star made \(\$32\) million on a film that grossed \(\$100\) million, and \(\$24\) million on a film that grossed \(\$60\) mil...


Re: There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is play

There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played? A. 15 B. 16 C. 28 D. 56 E. 64 Answer: C Source: Official Guide There are 8 teams. If we ask each team, "How many teams did you...


Re: Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer read

Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading. She will list the books in the order in which they are chosen. How many different lists are possible? A. 6 B. 40 C. 210 D. 5,040 E. 151,200 Answer: D Source: Official Guide Take ...


Re: On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on wh

On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the...


Re: A committee is composed of \(w\) women and \(m\) men. If \(3\) women and \(2\) men are added to the committee, and i

A committee is composed of \(w\) women and \(m\) men. If \(3\) women and \(2\) men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by (A) \(\dfrac{w}{m}\) (B) \(\dfrac{w}{w+m}\) (C) \(\...


Re: On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are les

On her way home from work, Janet drives through several toll booths. Is there a pair of these tollbooths that are less than 10 miles apart? (1) The first tollbooth and the last tollbooth are 25 miles apart. (2) Janet drives through 4 tollbooths on her way home from work. Answer: C Source: GMAT Prep...


Re: Is the area of the triangular region above less than \(20?\)

2017-06-26_1314.png Is the area of the triangular region above less than \(20?\) (1) \(x^2 + y^2\ne z^2\) (2) \(x + y < 13\) Answer: E Source: Official Guide Target question : Is the area of the triangular region above less than 20? I'm going to head straight to.... Statements 1 and 2 combined Cons...


Re: Each \(\cdot\) in the mileage table above represents an entry indicating the distance between a pair of the five cit

Table.png Each \(\bullet\) in the mileage table above represents an entry indicating the distance between a pair of the five cities. If the table were extended to represent the distances between all pairs of \(30\) cities and each distance were to be represented by only one entry, how many entries ...


Re: New cars leave a car factory in a repeating pattern of red, blue, black, and gray cars. If the first car to exit the

Manhattan Prep New cars leave a car factory in a repeating pattern of red, blue, black, and gray cars. If the first car to exit the factory was red, what color is the 463rd car to exit the factory? A. Red B. Blue C. Black D. Gray E. It cannot be determined from the information given. OA C Let's exa...


Re: If \(10^{50}-74\) is written as an integer in base \(10\) notation, what is the sum of the digits in that integer?

If \(10^{50}-74\) is written as an integer in base \(10\) notation, what is the sum of the digits in that integer? A. 424 B. 433 C. 440 D. 449 E. 467 Answer: C Source: Official Guide One approaches to look for a pattern... 10^3 - 74 = 1,000 - 74 = 9 26 (1 nine ) 10^4 - 74 = 10,000 - 74 = 99 26 (2 n...


Re: If \(2.00X\) and \(3.00Y\) are \(2\) numbers in decimal form with thousandths digits \(X\) and \(Y,\) is

If \(2.00X\) and \(3.00Y\) are \(2\) numbers in decimal form with thousandths digits \(X\) and \(Y,\) is \(3(2.00X) > 2(3.00Y) ?\) (1) \(3X < 2Y\) (2) \(X < Y - 3\) Answer: D Source: Official Guide Given : 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits X and Y Target question...


Re: In the diagram above, O is the center of the circle. What is the length of chord AC?

cpotg_img4-300x285.png In the diagram above, O is the center of the circle. What is the length of chord AC? (1) chord BC = 14 (2) the circle has an area of 625π OA C Source: Magoosh Target question : What is the length of chord AC? Given : O is the center of the circle If O is the center of the cir...