GRE考满分·题库

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题目内容
By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
A mixture of 12 ounces of vinegar and oil is 40 percent vinegar, where all of the measurements are by weight. How many ounces of oil must be added to the mixture to produce a new mixture that is only 25 percent vinegar?

Give your answer as a decimal.
Among three bottles of sugar water R, S and M, the sugar in R is $$\frac{1}{4}$$ of the sugar in S, while the sugar in S is $$\frac{5}{2}$$ of the sugar in M.

Quantity A

The total weight of sugar in R and S combined

Quantity B

3 times of the weight of sugar in M
At a sale, the cost of each tie was reduced by 20 percent and the cost of each belt was reduced by 30 percent.

Quantity A

The percent reduction on the total cost of 1 tie and 2 belts

Quantity B

25%
At A cornfield, super seed accounts for 17 percent of all seed, while at B cornfield,super seed accounts for 11 percent of all seed. Between cornfield A and B, there aremore seed, in total, in cornfield B than in cornfield A .

Quantity A: The percentage of super seed among all seed in cornfield A and B

Quantity B: 14%
To obtain an FHA mortgage for $50,000 or more, the home buyer must have a down payment equal to 4 percent of the first $25,000 of the mortgage amount and 5 percent of the portion in excess of $25,000. At settlement the buyers pays a mortgage-insurance premium equal to 3 percent of the mortgage amount. What is the maximum FHA mortgage, if any, a buyer can obtain if the buyer has only $6,000 available for the down payment and insurance premium?
A certain money market account that had a balance of $48,000 during all of last month earned $360 in interest for the month. At what simple annual interest rate did the account earn interest last month?
Vladimir invested $10,000 for one year.He invested some of the amount at 4 percent simple annual interest and the rest of the amount at 6 percent simple annual interest.

If the total interest earned for the year was between $450 and $550, which of the following statements must be true?.

Indicate all such statements.
If A is the initial amount put into an account, R is the annual percentage of interest written as a decimal, and the interest compounds annually, then which of the following would be an expression, in terms of A and R, for the interest accrued in three years?
If $5,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Diana invested $61,293 in an account with a fixed annual percent of interest, compounding quarterly. At the end of five full years, she had $76,662.25 in principal plus interest. Approximately what was the annual percent rate of interest for this account?
There are 10 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
In a soccer league, if there were 10 teams and each team played with each of the other team 16 times, then how many games each team play?
In a certain sock drawer, there are 4 pairs of black socks, 3 pairs of gray socks and 2 pairs of orange socks. If socks are removed at random without replacement, what is the minimum pair of socks that must be removed in order to ensure that two pairs of socks of the same color have been removed?
There are 100 white balls, 100 red balls, and 100 green balls in the box. What is the minimum number of balls that must be removed in order to ensure that four balls of the same color have been removed?


There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side. The figure in the shaded area below each shows the number of balls in that category. For example, the number of red balls marked with the number "1" is 12. What is the minimum number of balls to be taken out of the box to ensure that you have at least one ball of each color and at least one ball of each marked number?
x and y are both integers

$$x^{2}$$-$$y^{2}$$=27

Quantity A: x

Quantity B: 10
The integer v is greater than 1. If v is the square of an integer, which of the following numbers must also be the square of an integer?

Indicate all such numbers.
a + $$\frac{1}{a}$$= $$\sqrt{5}$$

Quantity A

$$a^{2}$$+$$(\frac{1}{a})^{2}$$

Quantity B

3
(x+$$\frac{1}{x}$$)=$$\sqrt{5}$$

Quantity A

$$x^{2}$$+$$\frac{1}{x^{2}}$$

Quantity B

3

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