# Geometry and algebra skill test for exams(sat,gre)

Find the number of sides of a regular polygon, if the difference between its interior and exterior angle is 1000.
6
4
10
9
12

1200
900
600
200
550

400
600
800
1000
500

700
450
800
1400
2600
In two similar triangles, the lengths of their corresponding sides are 7.8 and 6.5. Find the ratio of their areas.
6/5
121/144
25/49
36/25
16/9

1200
700
650
1050
600
How many lines of symmetry does a regular octagon have?
6
8
4
3
2
A wire is bent in the form of an equilateral triangle. The area of the triangle so formed is 25(3 square inches. If the same wire is bent to form a square, what will be its side?
15 inches
7.5 inches
5 inches
25 inches
12.5 inches
If the distance between (4,0) and (a,b) is twice the distance between (0,0) and (a,b), find the relation between a and b.
a2 = b2
2a2 + 2b2 + 8a = 16
a2 + b2 + 8a = 16
3a2 + 3b2 + 8a = 16
a2 + b2 = 16
If a parallelogram with area P, a rectangle with are R and a triangle with area T are all constructed on the same base and all have the same altitude, then a false statement is:
P=2T
P=R
None of these
Two non-intersecting circles, one lying inside another, are of diameters a and b. the minimum distance between their circumferences is c. the distance between their centres is:
a-b-c
a+b-c
A = {1, 2, 3} and B = {3, 8}, then (A ( B) × (A ( B) is _____.
{(3, 1), (3, 2), (3, 3), (3, 8)}
{(1, 3), (2, 3), (3, 3), (8, 3)}
{(1, 2), (2, 2), (3, 3), (8, 8)}
{(8, 3), (8, 2), (8, 1), (8, 8)}
A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone _____.
35
48
60
22
If x and y are the integers then the equation 5x+19y=64 has
No solution for x<300 and y<0
No solution for x>250 and y>?100
A solution for 250 A solution for ?59 A started a business with capital of \$15,000 and 6 months later B joined him with a capital of \$10,000. What is the share of B in a total profit of \$1600 at the end of one year?
\$ 300
\$ 400
\$ 1200
\$ 1500
\$ 600
In a mixture there is 40 % wine, a person stole some quantity out of this vessel and replaced with water. As a result, the total mixture now has 30 % wine. What part of the total was stolen?
1/2nd
1/3rd
1/4th
1/5th
1/6th
The ratio of two numbers is 3 : 7. If 4 is added to the greater number and 4 is subtracted from the smaller number, the greater number becomes three times the smaller one. Find the numbers.
12, 28
18, 42
24, 56
21, 49
15, 35
5 men or 12 boys can do a piece of work in 39 days. How many days will be taken by 16 men and 24 boys to do a work, which is twice as great as the original work?
12
15
17
20
18
Sophia has some hens and cows. If the number of heads equal 48 and number of feet equal 140, then how many cows she has?
22
24
23
26
29
 How many more people died from heart related problems in 1982 than in 1980?
110
180
80
40
130
The following question consists of two quantities, one in Column A and one in Column B. You are to compare the two quantities and choose from the given options. Column A Column B |x| + 4 |x + 4|
If the quantity in Column A is greater;
If the quantity in Column B is greater;
If the two quantities are equal ;
If the relationship cannot be determined from the information given
In the equation y = mx + 2, m is constant. If x = 8 when y = 26, then what is the value of x when y= 14?
2
8
12
4
11
Description:

time bound test,do these problems 20 problems in 15 minutes.
all the problems here are of various levels of difficulty.
please dont waste time and skip which u cant able to answer.
these questions are ideal for test takers of gre ,sat etc.

all important concepts will be revised after taking this test from geometry and algebra.

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Abhijit Banerjee
MATHEMATICS TEACHER FOR CLASS XI-XII ,AIEEE,IIT-JEE,GRE,SAT ,GMAT
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