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Bill buys two types of soda. He buys \(m\) bottles of Brand \(A\) at \(\$0.50\) each. He buys \(n\) bottles of Brand

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 \(5\) 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 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

Answer: C

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 \(500?\)

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

(2) \(x^2 = 36\)

Answer: C

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 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

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 \(3?\)

A. \(p^2+pq\)

B. \(pq^2+pq\)

C. \(p^2q-pq\)

D. \(p^2q^2\)

E. \(pq^2-pq\)

Answer: E

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

Of the total number of copies of Magazine \(X\) sold last week, \(40\) percent were sold at full price. What was the total number of copies of the magazine sold last week? (1) Last week, the full price for a copy of Magazine \(X\) was \(\$1.50\) and the total revenue from full-price sales was \(\$11...


The 10 households on a certain street have household incomes that range from $34000 to $150000 and an average(arithmetic

The 10 households on a certain street have household incomes that range from $34000 to $150000 and an average(arithmetic mean) household income of $60000. If the household with the highest income and the one with the lowest income and the one with the lowest income are excluded, what is the average ...


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 many male students are there at this college?

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

Answer: B

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 \(nt?\)

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

Answer: B

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?

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

Answer: B

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?

(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 \(16.\)

Answer: B

Source: Princeton Review


At a certain store silk scarves are sold at an everyday price of 20% off the normal list price. If the scarves are sold

At a certain store silk scarves are sold at an everyday price of 20% off the normal list price. If the scarves are sold at a sales price of an additional 10% off the everyday price, the sales price is what percent of the normal list price? A. 28% B. 30% C. 70% D. 72% E. 80% Answer: D Source: Princet...