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GRE Math Test 1
Question 1:
y = x
^{2}
- 1
y = 8
Column A
Column B
y/5
x
The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 2:
p is a real number and p > 1
Column A
Column B
1/p
1/2 + 1/5
The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 3: If the ratio students to teachers on a committee of 21 members is 8 to 6, how many members of the committee are students?
8
9
12
14
16
Question 4: If a, b and c are odd integers, which of the following expressions must be an even integer?
a + b + c
ab + bc + ca
a(b + c)
a(b + c - 1)
(a - 2)bc
Question 5: The figure below shows two concentric circles each with center O. The radius of C1 is r
_{1}
, the radius of C2 is r
_{2}
, and r
_{1}
= (√2)·r
_{2}
Column A
Column B
Area of circle C2
Shaded area
The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 6: Find the solutions of the x
^{2}
+ 3x - 18 = 0 equation.
x
_{1}
= 3 and x
_{2}
= -5
x
_{1}
= 3 and x
_{2}
= -6
x
_{1}
= 3 and x
_{2}
= 6
x
_{1}
= 2 and x
_{2}
= -6
x
_{1}
= 2 and x
_{2}
= 6
Question 7: The height h of the trapezoid ABCD is equal to the average of its two parallel sides.
Column A
Column B
Area of ABCD
h
^{2}
The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 8: In the x,y coordinate system, line l passes through the point P(2, 1) and is perpendicular to line y = x + 1.
Column A
Column B
y intercept of line l
x intercept of line l
The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 9: In which of the following years was the difference between the revenues of company A and company B the lowest?
1971
1972
1974
1975
1976
Question 10: What is the approximate percentage of all employees of Company A that are operators?
12%
29%
35%
44%
63%