## Search found 1178 matches

Bill buys two types of soda. He buys $$m$$ bottles of Brand $$A$$ at $$\0.50$$ each. He buys $$n$$ bottles of Brand $$B$$ at $$\0.60$$ each. What is Bill’s average cost in cents for a bottle of soda, in terms of $$m$$ and $$n?$$ A. $$\dfrac{0.5m+0.6n}{m+n}$$ B. $$\dfrac{m+n}{110}$$ C. $$\dfrac{1.1... #### What are the roots of the quadratic equation \(x^2 + bx + c = 0$$ if the roots are distinct and at equal distance from

##### What are the roots of the quadratic equation $$x^2 + bx + c = 0$$ if the roots are distinct and at equal distance from

What are the roots of the quadratic equation $$x^2 + bx + c = 0$$ if the roots are distinct and at equal distance from $$5$$ on the number line? (1) The product of the roots of the equation $$x^2 + bx + c = 0$$ is $$21.$$ (2) $$x - 7$$ is a factor of the expression $$x^2 + bx + c.$$ Answer: D Source...

#### A ship is transporting several cats and a crew (sailors, a cook, and a one-legged captain) to a nearby port. If these

##### A ship is transporting several cats and a crew (sailors, a cook, and a one-legged captain) to a nearby port. If these

A ship is transporting several cats and a crew (sailors, a cook, and a one-legged captain) to a nearby port. If these passengers combined have 15 heads and 41 legs, then how many cats is the ship transporting?

A. 3
B. 5
C. 6
D. 7
E. 8

Source: GMAT Club Tests

#### If $$x$$ is an integer, is $$3^x$$ less than $$500?$$

##### If $$x$$ is an integer, is $$3^x$$ less than $$500?$$

If $$x$$ is an integer, is $$3^x$$ less than $$500?$$

(1) $$4^{x-1} < 4^x - 120$$

(2) $$x^2 = 36$$

Source: Manhattan GMAT

by M7MBA

Thu Nov 19, 2020 9:09 am
Forum: Data Sufficiency
Topic: If $$x$$ is an integer, is $$3^x$$ less than $$500?$$
Replies: 0
Views: 16

#### Reservoir $$A$$ contains $$450$$ million gallons of water more than does Reservoir $$B.$$ If $$100$$ million gallons of

##### Reservoir $$A$$ contains $$450$$ million gallons of water more than does Reservoir $$B.$$ If $$100$$ million gallons of

Reservoir $$A$$ contains $$450$$ million gallons of water more than does Reservoir $$B.$$ If $$100$$ million gallons of water were to be drained from Reservoir $$A$$ into Reservoir $$B,$$ then Reservoir $$A$$ would contain twice as much water as would Reservoir $$B.$$ How many million gallons of wat...

A house has $$x$$ cakes and $$y$$ people, with $$x\ge 2$$ and $$y\ge 1.$$ How many values of $$y$$ are there, such that all the cakes can be distributed among the people, with each receiving an equal number and none left over? (1) $$x=a^2b^3,$$ where $$a$$ and $$b$$ are distinct primes. (2) $$b=a+1,... #### If \(p$$ and $$q$$ are consecutive even integers and $$p < q,$$ which of the following must be divisible by $$3?$$

##### If $$p$$ and $$q$$ are consecutive even integers and $$p < q,$$ which of the following must be divisible by $$3?$$

If $$p$$ and $$q$$ are consecutive even integers and $$p < q,$$ which of the following must be divisible by $$3?$$

A. $$p^2+pq$$

B. $$pq^2+pq$$

C. $$p^2q-pq$$

D. $$p^2q^2$$

E. $$pq^2-pq$$

Source: Princeton Review

#### Of the total number of copies of Magazine $$X$$ sold last week, $$40$$ percent were sold at full price. What was the

##### Is the product of integers $$M$$ and $$N$$ even?

Is the product of integers $$M$$ and $$N$$ even? (1) $$N$$ can be expressed as a difference of squares of two consecutive prime numbers at least one of which is odd. $$M$$ can be expressed as a product of two natural numbers $$P$$ and $$Q,$$ where $$2P + 1= Q.$$ (2) $$N$$ can be expressed as a diffe...

by M7MBA

Thu Nov 19, 2020 8:49 am
Forum: Data Sufficiency
Topic: Is the product of integers $$M$$ and $$N$$ even?
Replies: 0
Views: 16

#### At a certain college, there are 3 female students for every 2 male students. There are 300 students at the college. How

##### At a certain college, there are 3 female students for every 2 male students. There are 300 students at the college. How

At a certain college, there are 3 female students for every 2 male students. There are 300 students at the college. How many male students are there at this college?

A. 60
B. 120
C. 180
D. 240
E. 300

Source: Manhattan GMAT

#### If $$n$$ and $$t$$ are positive integers, what is the greatest prime factor of $$nt?$$

##### If $$n$$ and $$t$$ are positive integers, what is the greatest prime factor of $$nt?$$

If $$n$$ and $$t$$ are positive integers, what is the greatest prime factor of $$nt?$$

(1) The greatest common factor of $$n$$ and $$t$$ is $$5.$$
(2) The least common multiple of $$n$$ and $$t$$ is $$105.$$

Source: GMAT Prep

#### If a certain reel of film runs at 5/6 of a frame per second, how long will it take to run 2580 frames of the film?

##### If a certain reel of film runs at 5/6 of a frame per second, how long will it take to run 2580 frames of the film?

If a certain reel of film runs at 5/6 of a frame per second, how long will it take to run 2580 frames of the film?

(A) 8.6 minutes
(B) 51.6 minutes
(C) 5.16 hours
(D) 5.8 hours
(E) 5.96 hours

Source: Veritas Prep

#### If each of the two digits $$X$$ and $$Y$$ is distinct, is the two-digit integer $$XY$$ prime?

##### If each of the two digits $$X$$ and $$Y$$ is distinct, is the two-digit integer $$XY$$ prime?

If each of the two digits $$X$$ and $$Y$$ is distinct, is the two-digit integer $$XY$$ prime?

(1) Each of the digits $$X$$ and $$Y$$ is the sum of $$2$$ distinct single digit prime numbers.

(2) The sum of digits $$X$$ and $$Y$$ is $$16.$$