WorksheetsTUTERIA GRE QUANT QUIZ WEEK 5
Total questions: 20
Worksheet time: 40mins
On the number line shown above, the tick marks are equally spaced. Which of the following statements about the numbers x, y, and z must be true?
Indicate all such statements.
xyz < 0
x + z = y
z(y - x) > 0
Which of the following graphs shown above could be the graph of all values of x that satisfy the inequality 2−5≤−36x − 5 ?
A
B
C
D
E
The relationship between the area A of a circle and its circumference C is given by the formula A = kC2, where k is a constant. What is the value of k?
4π1
2π1
41
2π
4π2
Emma spent $75 buying a used bicycle and $27 repairing it. Then she sold the bicycle for 40 percent more than the total amount she spent buying and repairing it.
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
In the figure above, squares PQRV and VRST have sides of length 6.
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
In 2009 the property tax on each home in Town X was p percent of the assessed value of the home, where p is a constant. The property tax in2009 on a home in Town X that had an assessed value of $125,000 was $2,500
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
In the figure above, what is the value of 45x+y+z ?
2
3
4
5
6
Last year, all purchases of a certain product were made either online or in a store. If 55 percent of the purchases were made online, what was the ratio of the number of purchases made online to the number of purchases made in a store?
11 to 9
11 to 5
10 to 9
9 to 11
9 to 10
In the rectangular solid above, TU = 3, UV = 4, and VR = 2. What is the area of the shaded rectangular region?
(a)
Machine R, was working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, was working alone at a constant rate, produces x units of the product in 48 minutes, where x is a positive integer.
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
In the figure above, the diameter of the circle is 10.
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
Among the 9,000 people attending a football game at College C, there were x students from College C and y students who were not from College C.
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
If 7n−dd−3n = 1, which of the following statements describes d in terms of n?
d is 4 less than n
d is 4 more than n
d is 73 of n
d is 2 times n
d is 5 times n
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, the liquid A accounts for what percent of the weight of the resulting solution?
10%
13%
15%
19%
26%
The figure above represents a rectangular garden with a walkway around it. The garden is 18 feet long and 12 feet wide. The walkway is uniformly 3 feet wide, and its edges meet at right angles. What is the area of the walkway?
(a) square feet
Line k likes in the xy-plane. The x-intercept of line k is -4, and the line k passes through the midpoint of the line segment whose endpoints are (2, 9) and (2, 0). What is the slope of line k?
Give your answer as a fraction (e.g. a/b) in lowest terms
(a)
If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle?
Indicate all such lengths.
3
5
8
15
In the figure above, ABCD is a parallelogram.
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
A, B, C are 3 rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less respectively, than the length and width of rectangle C. the length and width of rectangle B are 20 percent greater and 20 percent less respectively, than the length and width of rectangle C.
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
Parallelogram OPQR lies in the xy-plane, as shown in the figure above. the coordinates of point P are (2, 4) and the coordinates of point Q are (8, 6). What are the coordinates of point R?
(3, 2)
(3, 3)
(4, 4)
(5, 2)
(6,2)
