GRE SESSION-10-CLASS ASSIGNMENT (HAND OUTS-MODULE

GRE SESSION-10-CLASS ASSIGNMENT (HAND OUTS-MODULE-3-GEOMETRY)
1. In the figure above, Line l and m are parallels. If v = 2w, which of the following must be equal to
q?
(A) v + t
(B) v − t
(C) t
(D) 2v
(E) s + t
2. In the figure above, OA is perpendicular to OC and OB is perpendicular to OD. If x = 35, what is
the value of z?
(A) 55
(B) 45
(C) 35
(D) 30
(E) 25
3.
In the figure above, N lies on MO.
Quantity A
Y
Quantity B
2x-5
4. In the figure above, AE and BG intersect at C. If x = 80 and CF bisects –ECG, what is the value of
y?
5.
In the figure above, side AC of triangle ABC is on line ‘l’.
Quantity A
Quantity B
x
k
6. In the figure above, ∠WOY and ∠XOZ each have measure 80°.
Quantity A
Quantity B
r
t
7.
In the figure above, lines k, l and m are parallel. If y = 125, what is the value of
all possible answer.
(A) 90
(B) 95
(C) 100
(D)
z y
2
x y
? Find such
2
(E)
xz
2
8. In the figure above, lines ’l’ and m intersect. If y = 40, then which of the following is the value of
x. Select such all possible answer.
(A) 3600-6y
(B) 3y
(C) 1200
(D) 1320
(E) 1800
9. The figure above shows five lines. If L|| m, which of the following is equal to 900? Select all
possible answer.
(A) r
(B) s
(C) t
(D) u
(E) v
10. In the figure above, lines ‘l’ and k intersect at point Q. If m = 40 and p = 20, what is the value of
x? Select such all possible answer.
(A) 200
(B) 300
(C) p0
(D) 400
(E)
m p
3
In the figure above, AB, CD, and EF intersect at P, r = 90, s = 50, t = 60, u = 45, and w = 50
11. Quantity A
x0
Quantity B
600
12. If x = 20 and y = 30 in the figure above, what is the value of z? Select such all possible answer.
(A) 5x0-y0
(B) 700
(C) 800
(D) x0+y0
(E) 2x0+y0
13. Quantity A
x0
Quantity B
900
Triangle ABC is an isosceles right angle triangle.
14. Quantity A
Quantity B
Area of triangle ABD
Area of triangle BDC
15. Triangle ABC is a right angled triangle. Also AC = 25, CB = 24 and angle ADB is a right angle.
What is the length of DB?
(A) 6.72
(B) 4.8
(C) 4.5
(D) 2.4
(E) 2.2
16. In the figure above AD = 4, AB = 3 and CD = 9
Quantity A
Area of triangle ABE
Quantity B
Half of area of triangle CDE
17. In the figure above, lines l and m are parallel. If p (not shown) is another line in the plane, what
is the possible number of points at which p can intersect these four lines?
Select such all possible answer.
(A) None
(B) One
(C) Two
(D) Three
(E) Four
18. Quantity A
Quantity B
Each Interior angle of regular octagon
Each Exterior angle of regular octagon
19. In the figure above, x > 900 and y = z + 1. If z is an integer, what is the possible value of y? Select
such possible answer.
(A) 300
(B) 440
(C) 450
(D) 610
(E) 890
20. In triangle ABC above, if AD = 6, DC = 6.8
Quantity A
Area of triangle ABD
Quantity B
Area of triangle BCD
21. In the equilateral triangle RST above, what is the value of y?
22. Quantity A
x0+y0
Quantity B
900
23. An isosceles triangle has two sides of length 5 and 12. Which of the following could be the
perimeter of this triangle? Select such all possible answer.
(A) 22
(B) 29
(C) 30
(D) 17
(E) 60
24. Quantity A
x0+y0
Quantity B
2700
25. If k is an integer and 2 < k < 7, what is the different values of k, there a triangle with sides of
lengths 3, 7 and k? Select such all possible answer.
(A) 3
(B) 4
(C) 5
(D) 6
(E) 9
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