GRE（QUANTITATIVE）综合模拟试卷20 - 众享搜题网

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首页 > 外语类 > GRE > GRE QUANTITATIVE > GRE（QUANTITATIVE）综合模拟试卷20

When the positive integer n is divided by 3, the remainder is 2 and when n is divided by 5, the remainder is 1. What is the least possible value of n?

Ellen has received the following scores on 3 exams: 82, 74, and 90. What score will Ellen need to receive on the next exam so that the average(arithmetic mean)score for the 4 exams will be 85?

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?

In a driving competition, Jeff and Dennis drove the same course at average speeds of 51 miles per hour and 54 miles per hour, respectively. If it took Jeff 40 minutes to drive the course, how long did it take Dennis?

Working alone at its constant rate, machine A takes 3 hours to produce a batch of identical computer parts. Working alone at its constant rate, machine B takes 2 hours to produce an identical batch of parts. How long will it take the two machines, working simultaneously at their respective constant rates, to produce an identical batch of parts?

At a fruit stand, apples can be purchased for $0.15 each and pears for $0.20 each. At these rates, a bag of apples and pears was purchased for $3.80. If the bag contained 21 pieces of fruit, how many of the pieces were pears?

To produce a particular radio model, it costs a manufacturer $30 per radio, and it is assumed that if 500 radios are produced, all of them will be sold. What must be the selling price per radio to ensure that the profit(revenue from the sales minus the total production cost)on the 500 radios is greater than $8,200?

If $10,000 is invested at a simple annual interest rate of 6 percent, what is the value of the investment after half a year?

If an amount P is to be invested at an annual interest rate of 3.5 percent, compounded annually, what should be the value of P so that the value of the investment is $1,000 at the end of 3 years?

A college student expects to earn at least $1,000 in interest on an initial investment of $20,000. If the money is invested for one year at interest compounded quarterly, what is the least annual interest rate that would achieve the goal?

Find an algebraic expression to represent each of the following. (a)The square of y is subtracted from 5, and the result is multiplied by 37. (b)Three times x is squared, and the result is divided by 7. (c)The product of(x + 4)and y is added to 18.

Simplify each of the following algebraic expressions. (a)3x²-6 + x + 11-x² +5x (b)3(5x-1)-x + 4 (c)[*], where x≠4 (d)(2x + 5)(3x-l)

(a)What is the value of f(x)= 3x² -7x + 23 when x = - 2 ? (b)What is the value of h(x)= x³-2x² + x-2 when x = 2? (c)What is the value of k(x)=[*]x-7 when x = 0?

If the function g is defined for all nonzero numbers y by g(y)=[*], find the value of each of the following. (a)g(2) (b)g(-2) (c)g(2)- g(-2)

Use the rules of exponents to simplify the following. (a)(n⁵)(n^-3) (b)(s⁷)(t⁷) [*] (e)(w⁵)^-3 (f)(5⁰)(d³) [*]

Solve each of the following equations for x. (a)5x-7 = 28 (b)12-5x = x + 30 (c)5(x + 2)= l-3x (d)(x + 6)(2x-l)= 0 (e)x²+5x-14 = 0 (f)x²-x-l = 0

Solve each of the following systems of equations for x and y. (a)x + y = 24 x-y = 18 (b)3x-y = -5 x + 2y = 3 (c)15x-18-2y = -3x + 7 10x + 7y + 20 = 4x + 2

Solve each of the following inequalities for x. (a)-3x>7 + x (b)25x + 16≥10-x (c)16 + x>8x-12

For a given two-digit positive integer, the tens digit is 5 more than the units digit. The sum of the digits is 11. Find the integer.

If the ratio of 2x to 5y is 3 to 4, what is the ratio of x to y?

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