GMAT Quantitative Aptitude 700-800 Level Math problems PDF
1. Two years ago, Arthur gave each of his five
children 20 percent of his fortune to invest in any way they saw fit. In the
first year, three of the children, Alice, Bob, and Carol, each earned a profit
of 50 percent on their investments, while two of the children, Dave and Errol,
lost 40 percent on their investments. In the second year, Alice and Bob each
earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in
profit, and Errol lost all the money he had remaining. What percentage of
Arthur's fortune currently remains?
A. 93% b. 97% c. 100% d. 107% e. 120%
2. A car dealership has 40 cars on
the lot, 30% of which are silver. If the dealership receives a new shipment of 80
cars, 40% of which are not silver, what percent of the total number of cars are
silver?
a. 35% b. 37.5% c. 45%
d. 47.5% e. 50%
3. Paul's income is 40% less than
Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income
is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of
his income to Quentin, Quentin's new income would be what fraction of Sam's new
income?
a. 11/12
b. 13/17 c. 13/19
d. 12/19 e.
11/19
4. A school’s annual budget for the
purchase of student computers increased by 60% this year over last year. If the
price of student computers increased by 20% this year, then the number of
computers it can purchase this year is what percent greater than the number of
computers it purchased last year?
a. 33.33% b. 40%
c. 42% d.
48% e. 60%
5. Boomtown urban planners expect
the city’s population to increase by 10% per year over the next two years. If
that projection were to come true, the population two years from now would be
exactly double the population of one year ago. Which of the following is
closest to the percent population increase in Boomtown over the last year?
a. 20% b. 40%
c. 50% d. 65%
e. 75%
6. A retailer bought a shirt at
wholesale and marked it up 80% to its initial retail price of $45. By how many more
dollars does he need to increase the price to achieve a 100% markup?
a. 1 b. 2
c. 3 d. 4 e. 5
7. A certain NYC taxi driver has
decided to start charging a rate of r cents per person per mile. How much, in dollars,
would it cost 3 people to travel x miles if he decides to give them a 50%
discount?
a. 3xr / 2 b. 3x / 200r
c. 3r / 200x d. 3xr / 200 e. xr / 600
8. Bob just filled his car's gas
tank with 20 gallons of gasohol, a mixture consisting of 5% ethanol and 95% gasoline.
If his car runs best on a mixture consisting of 10% ethanol and 90% gasoline,
how many gallons of ethanol must he add into the gas tank for his car to
achieve optimum performance?
a. 9/10
b. 1
c. 10/9 d. 20/19 e. 2
9. Which of the following values is
closest to 1/3 + 0.4 + 65%?
a. 1.1 b. 1.2 c. 1.3
d. 1.4 e. 1.5
10. A certain tank is filled to one
quarter of its capacity with a mixture consisting of water and sodium chloride.
The proportion of sodium chloride in the tank is 40% by volume and the capacity
of the tank is 24 gallons. If the water evaporates from the tank at the rate of
0.5 gallons per hour, and the amount of sodium chloride stays the same, what
will be the concentration of water in the mixture in 2 hours?
a. 43% b. 50%
c. 52% d. 54% e. 56%
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