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      Home > Quizzes and Fun Tests > GRE Practice Tests > GRE Practice Test - Math revision- Algebra

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Coverage
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The GRE Practice Test - Math - Algebra has been developed to test the basic concepts and skills related to Algebra. This test covers the concepts of linear algebra, equation solving, finding roots for the equation and applying formulae to solve equations.
1. If z = 2, then z^4 (z^4 - z ) =?
a.110
b.192
c.162
d.182
2. If x=2, then [((3 - 1)/(3-x))(( 3 - 1)/(4-x))(( 3 - 1)/(5-x))]
a.1/3
b.50/3
c.20/3
d.4/3
3. Find the value of following expression :
[{ 5.79 5.79 5.79 + 4.21 4.21 4.21} { 5.79 5.79 - 5.79 4.21 + 4.21 4.21}]
a.21.790
b.10.00
c.15.19
d.11.111
4. If one root of the quadratic equation 8x - 28x + y = 0 is six times the other.Find the value of y.
a.10
b.2
c.8
d.9
5. If 16x + 24x + r = 0 have equal roots, find the value of r.
a.8
b.12
c.9
d.10
6. Solve for x and y :
(x - 2) / 6 = (y - 2) / 7 = (x - y) / 3
a.x = 2, y = -2
b.x = 2, y = 2
c.x = -2, y = -2
d.x = -2, y = 2
7. The average of 5 quantities is 30. The average of three of them is 20. What is the average of remaining two numbers?
a.54
b.45
c.40
d.60
8. The average of 11 results is 75. The average of first six is 60 and that of last six is 70. What is the seventh result?
a.54
b.82
c.62
d.45
9. If 5 points are marked at an equal distance between two poles, which are 20 m apart, what is the distance between any two of the points?
a.4m
b.5m
c.2m
d.3m
10. Solve for a : 3 - 23 + 3 = 0
a.-1
b.1
c.0
d.-2
11. Evaluate : 100 - 6[3 + 27/3 + 4(10-14)]
a.120
b.-20
c.-120
d.10
12. Sum of two numbers is 85 and their LCM is 102. Find them.
a.7, 78
b.6, 17
c.34, 3
d.34, 51
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