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\(10^x+10^y+10^z=n,\) where \(x, y,\) and \(z\) are positive integers. Which of the following could be the total number

\(10^x+10^y+10^z=n,\) where \(x, y,\) and \(z\) are positive integers. Which of the following could be the total number of zeroes, to the left of the decimal point, contained in \(n?\) I. \(x + y\) II. \(y - z\) III. \(z\) A. III only B. I and II only C. I and III only D. II and III only E. I, II, a...


Is \(-1<x<2?\)

Is \(-1<x<2?\)

(1) \(0<x<4\)

(2) \(-2<x<3\)

Answer: E

Source: GMAT Prep

by Gmat_mission

Thu Jul 22, 2021 11:36 am
Forum: Data Sufficiency
Topic: Is \(-1<x<2?\)
Replies: 0
Views: 43

A circular hoop with a radius of 12.5 inches is rolled in a straight line on a flat surface. If each revolution of the

A circular hoop with a radius of 12.5 inches is rolled in a straight line on a flat surface. If each revolution of the hoop requires 10 seconds to complete, approximately how many minutes are necessary to roll the hoop 75 feet across the surface? A. 1 B. 2 C. 3 D. 4 E. 5 Answer: B Source: Princeton ...


A hot dog vendor who sells only hot dogs and soft drinks charges $3 for a hot dog. If the vendor collected $1,000 in tot

A hot dog vendor who sells only hot dogs and soft drinks charges $3 for a hot dog. If the vendor collected $1,000 in total revenue last month, how much does he charge for a soft drink? (1) The vendor sold twice as many hot dogs as soft drinks last month. (2) The revenue from hot dog sales last month...


If \(3P < 51\) and \(5P > 75,\) what is the value of the integer \(P?\)

If \(3P < 51\) and \(5P > 75,\) what is the value of the integer \(P?\)

(A) 15
(B) 16
(C) 24
(D) 25
(E) 26

Answer: B

Source: Manhattan GMAT


Are there more engineers than salespeople working at Soho Corp?

Are there more engineers than salespeople working at Soho Corp? (1) Soho Corp Employs 2/3 as much clerical staff as engineers and salespeople combined. (2) If 3 more engineers were employed by Soho Corp and the number of salespeople remained the same, then the numbers of engineers would be double th...


In a nationwide poll, \(N\) people were interviewed. If \(\dfrac14\) of them answered "yes" to question \(1,\) and of

In a nationwide poll, \(N\) people were interviewed. If \(\dfrac14\) of them answered "yes" to question \(1,\) and of those, \(\dfrac13\) answered "yes" to question \(2,\) which of the following expressions represents the number of people interviewed who did NOT answer "yes" to both questions? A. \(...


Three completely unmarked containers are used for measuring water. Water may be poured from one container to another,

Three completely unmarked containers are used for measuring water. Water may be poured from one container to another, but no water may be poured outside the containers. Using nothing but the three containers and an unlimited supply of water, is it possible to measure exactly 4 gallons of water? (1) ...


If \(a=1+\dfrac14+\dfrac1{16}+\dfrac1{64}\) and \(b=1+\dfrac14a,\) then what is the value of \(a - b?\)

If \(a=1+\dfrac14+\dfrac1{16}+\dfrac1{64}\) and \(b=1+\dfrac14a,\) then what is the value of \(a - b?\)

A. \(-\dfrac{85}{256}\)

B. \(-\dfrac1{256}\)

C. \(-\dfrac14\)

D. \(\dfrac{125}{256}\)

E. \(\dfrac{169}{256}\)

Answer: B

Source: Official Guide


Leo can buy a certain computer for \(p_1\) dollars in State \(A,\) where the sales tax is \(t_1\) percent, or he can buy

Leo can buy a certain computer for \(p_1\) dollars in State \(A,\) where the sales tax is \(t_1\) percent, or he can buy the same computer for \(p_2\) dollars in State \(B,\) where the sales tax is \(t_2\) percent. Is the total cost of the computer greater in State \(A\) than in State \(B?\) (1) \(t...


A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolt

A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make...


At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study Fren

At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also study Japanese do more students at the school study french than Japanese? (1) 16 students at the school study both French and Japanese. (2) 10 percent of the students at th...


Initially, the men and women in a room were in the ratio of \(4:5.\) Then, \(2\) men entered the room and \(3\) women

Initially, the men and women in a room were in the ratio of \(4:5.\) Then, \(2\) men entered the room and \(3\) women left the room. Then, the number of women doubled. Now there are \(14\) men in the room. How many women are currently in the room? A. 12 B. 14 C. 15 D. 24 E. 36 Answer: D Source: Manh...


If \(x\) is an integer, is \(\dfrac{54+27}{x}\) an integer?

If \(x\) is an integer, is \(\dfrac{54+27}{x}\) an integer?

1) \(6 \le x \le 81.\)
2) \(x\) is a multiple of \(3.\)

Answer: E

Source: GMAT Paper Tests


If 12 men and 16 women can do a piece of work in 5 days and 13 men and 24 women can do it in 4 days, how long will 7 men

If 12 men and 16 women can do a piece of work in 5 days and 13 men and 24 women can do it in 4 days, how long will 7 men and 10 women take to do it?

(A) 4.2 days
(B) 6.8 days
(C) 8.3 days
(D) 9.8 days
(E) 10.2 days

Answer: C

Source: GMAT Prep