GRE Quantitative Test-01

Points R, S, and T lie on a number line, where S is between R and T. The distance between R and S is 6, and the distance between R and T is 15.

                          Quantity A                                                                   Quantity B

      The distance between the midpoints                         The distance between S and T
              of line segments RS and ST

S is a set of 8 numbers, of which 4 are negative and 4 are positive.

                          Quantity A                                                           Quantity B

      The average (arithmetic mean)                         The median of the numbers in S
              of the numbers in S

Mr Smith was half the age of his father 14 years ago. In 5 years, If his father will be 30 years older than Smith's age, how old is Smith today?

In the xy-plane, a quadrilateral has vertices at (–1, 4), (7, 4), (7, –5), and (–1, –5). What is the perimeter of the quadrilateral?

A car dealer received a shipment of cars, half of which were black, with the remainder consisting of equal numbers of blue, silver, and white cars. During the next month, 70 percent of the black cars, 80 percent of the blue cars, 30 percent of the silver cars, and 40 percent of the white cars were sold. What percent of the cars in the shipment were sold during that month?

If an investment of P dollars is made today and the value of the investment doubles every 7 years, what will be the value of the investment, in dollars, 28 years from today?

The normal distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Which of the following numbers of hours are within 2 standard deviations of the mean of the distribution?

Indicate all such numbers.

Solve for x: 2x + 3y = 27
4x + 6y = 54

When the decimal point of a certain positive decimal number is moved six places to the right, the resulting number is 9 times the reciprocal of the original number. What is the original number?

A company plans to manufacture two types of hammers, type R and type S. The cost of manufacturing each hammer of type S is $0.05 less than twice the cost of manufacturing each hammer of type R.

                          Quantity A                                                             Quantity B

      The cost of manufacturing 1,000                         The cost of manufacturing
          hammers of type R and 1,000                             1,500 hammers of type S
                    hammers of type S

List X: 2,5,s,t
List Y: 2,5,t

The average (arithmetic mean) of the numbers in list X is equal to the average of the numbers in list Y.

                          Quantity A                                                                   Quantity B

                                  s                                                                                     t

The radius of circle A is 12 greater than the radius of circle B.

                          Quantity A                                                                   Quantity B

      The circumference of circle A minus                                                 72
              the circumference of circle B

                          Quantity A                                                                   Quantity B

                                  x                                                                                   120

According to surveys at a company, 20 percent of the employees owned cell phones in 1994, and 60 percent of the employees owned cell phones in 1998. From 1994 to 1998, what was the percent increase in the fraction of employees who owned cell phones?

In right triangle ABC, the ratio of the lengths of the two legs is 2 to 5. If the area of triangle ABC is 20, what is the length of the hypotenuse?

If t is an integer and 8m = 16^t, which of the following expresses m in terms of t?

Three pumps, P, R, and T, working simultaneously at their respective constant rates, can fill a tank in 5 hours. Pumps P and R, working simultaneously at their respective constant rates, can fill the tank in 7 hours. How many hours will it take pump T, working alone at its constant rate, to fill the tank?

The perimeter of a flat rectangular lawn is 42 meters. The width of the lawn is 75 percent of its length. What is the area of the lawn, in square meters?

The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integers?

If x and y are integers and which of the following could be the value of y?

Two different positive integers x and y are selected from the odd integers that are less than 10. If z = x + y and z is less than 10, which of the following integers could be the sum of x, y, and z?

Indicate all such integers.

For a certain probability experiment, the probability that event A will occur is ¹⁄₂ and the probability that event B will occur is ¹⁄₃. Which of the following values could be the probability that the event A ∪ B (that is, the event A or B, or both) will occur?

Indicate all such values.

From 2011 to 2012, Jack’s annual salary increased by 10 percent and Arnie’s annual salary decreased by 5 percent. If their annual salaries were equal in 2012, then Arnie’s annual salary in 2011 was what percent greater than Jack’s annual salary in 2011?

Give your answer to the nearest 0.1 percent.

x is an integer and 23 < x < 27.

                          Quantity A                                                                   Quantity B

                The median of the five                                                               25
          integers 23, 24, 26, 27, and x

r and t are consecutive integers and p = r² + t.

                          Quantity A                                                                   Quantity B

                                (–1)^p                                                                               –1

The function ƒ is defined by

                          Quantity A                                                                   Quantity B

                                ƒ(4)                                                                                 75

The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.

                          Quantity A                                                                 Quantity B

      The average (arithmetic mean) of                         The median of the annual salaries
      the annual salaries of the teachers                             of the teachers at school X
                        at school X

Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?

If 10 workers can paint a home in 6 days, how many additional workers will be required to paint the same home in 4 days?

If –1 < x < y < 0, which of the following shows the expressions xy, x²y, and xy² listed in order from least to greatest?

The 5 letters in the list G, H, I, J, K are to be rearranged so that G is the 3rd letter in the list and H is not next to G. How many such rearrangements are there?

If j and k are even integers and j < k, which of the following equals the number of even integers that are greater than j and less than k?

Which of the following is closest to √2.3 × 10⁹

The interior dimensions of a rectangular tank are as follows: length 110 centimeters, width 90 centimeters, and height 270 centimeters. The tank rests on level ground. Based on the assumption that the volume of water increases by 10 percent when it freezes, which of the following is closest to the maximum height, in centimeters, to which the tank can be filled with water so that when the water freezes, the ice would not rise above the top of the tank?

Each of the people in three groups gave a rating of Product X on a scale from through 5. For each of the groups, the table above shows the number of people in the group and the average (arithmetic mean) of their ratings. What is the average of the ratings of the product given by the 100 people in the three groups combined? Give your answer to the nearest 0.1.

The graph above shows the distribution of three different flavors of hard candies—cherry, lemon, and lime—in a candy jar. If all the lemon candies are removed and no other candies are added or removed, what fraction of the remaining candies in the jar will be lime candies?

From 1930 to 1990, approximately what was the average increase per year in per capita income?

In 1950 the revenue per student was approximately what percent of the per capita income?