first edition

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1. PQRS is a square with an area of 240 units. A, B, C and D are sides on the given square such that PA = QB = RC = SD. Also given that PA = 3AQ, then what is the area of the shaded region?

A. 75 B. 60 C. 55 D. 80

2. ABC is a right angled triangle, right angled at B. If AD is the angle bisector of

angle A and divides BC in two parts such that BD = 2 and CD = 3 units. Then what is the length of AD? A. 4√2 B. 2√6 C. 2√3 D. 2√7

3. ABCD is a rectangle as shown in the figure below. P is the midpoint of DC, Q

is the mid-point of AP, R is the midpoint of BQ and S is the midpoint of CR. What is the ratio of area of quadrilateral PQRS to the area of rectangle ABCD?

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A. 7/16 B. 3/16 C. 7/32 D. 9/32 4. PQRS is a trapezium in which PQ || SR. Angle RSP = 1200. Also, RS = PS =

1/3 QP. What is the measurement of angle PQR? A. 150 B. 22.50 C. 250 D. 300

5. In the figure given below, there is a regular octagon. If the measure of the shaded region is 6 units, then what is the area of the octagon?

A. 22 B. 24 C. 30 D. 34

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6. PA is the tangent to the circle with centre O while PC bisects the angle APB.What is the measure of angle ACP?

A. 300 B. 450 C. 600 D. 750

7. In the given figure, ABC is a triangle such that AB = 12, AC = 16 and BC = 20.Also, M is the mid-point of BC. AMDE is a square and MD intersects the sideAC at the point F. Then, what is the area of the quadrilateral AFDE?

A. 114/7 B. 27/7 C. 125/2 D. 12/3

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8. PQRS is a rectangle and a line L passes through the vertex P. The distance from

R to L is 4 while the distance from S to L is 12. Also, PS = 2PQ, then what is the length of QR?

A. 15 B. 25 C. 20 D. 10 9. In the figure given below, ABCD is a rectangle and M is the midpoint of CB.

DM is perpendicular to the diagonal AC. The, what is the ratio of AB: AD?

A. 2:1 B. √3 : 1 C. 3:2 D. 1: √2

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10. The two circles shown each have a radius of 2 units. There is a square fitted

snuggly between the horizontal line and the two touching circles. What is the area of the square?

A. 49/63 B. 64/81 C. 25/36 D. 16/25

11. ABCDEF is a regular hexagon and M and N are the mid points of opposite

edges as shown in the figure. If the area of the hexagon is 120 units. Then what is the product of the lengths of AD and MN?

A.160 B. 200 C. 100 D. 140

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12. In the given figure, the rectangle of length 12 cm encloses an equilateral

triangle of touching circles as shown. What is the shortest distance between the two grey circles?

A. 4 �3√3− 2� B. 4 �3√3− 1� C. 4 �√3 − 2� D. 4 �√3− 1� 13. In the figure shown below, there are two squares with sides 4 and 5 cm while a

triangle with area 8 cm2 and a shaded parallelogram. What is the area of the parallelogram?

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A.15 cm2 B. 16 cm2 C. 18cm2 D. 20 cm2 14. PQRS is a square with sides of length 4. M and N are the midpoints of the

sides PQ and PS respectively. X is a point on RN such that 3RX = 2XN. Then, what is the area of the triangle QMX? A.19/7 B. 27/11 C. 20/3 D. 16/5

15. In the given figure, ABCD is a trapezium and X and Y are the mid points of

AD and BC. If the area of the shaded region is 28 cm2. Then, what is the area of ABCD?

A. 48 B. 56 C. 30 D. 35 16. In the given figure, ABCDEF is a regular hexagon with P being the midpoint

of AB. Q and R are the points of intersection of PD and PE respectively with the diagonal CF. What is the ratio of area of triangle PFR and to that of area of trapezoid EDQR?

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A. ½ B. 1/3 C. ¼ D. 1/√3 17. In the given figure XY is the diameter of the smaller circle and S which is the

center of the larger circle lies on the smaller circle. If the radius of the larger circle is 2 units, then what is the area of the shaded region?

A. 8 B. 10 C. 4 D. 2 18. ABCD is quadrilateral in which AD = DC. Also, angle ADC = angle ABC =

900. If DM ⊥ AB and DM = 10, then what is the area of the quadrilateral ABCD?

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A. 100 B. 125 C. 81 D. 50 19. There is a circle inscribed inside a hexagon ABCDEF such that all the six sides

are tangents to the circle. If the lengths of AB, BC, CD, DE and EF are 4,5,6,7 and 8 units respectively, then what is the length of AF? A.9 B. 8 C. 7 D. 6

20. In the given figure PQRS is a square and QRM and SRN are equilateral

triangles. If SR = 2 units, then what is the length of MN?

A. 5√2 B. 3√2 C. 2√2 D. √2

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21. In the figure shown the bigger triangle is an equilateral triangle with 36 smaller equilateral triangles with area 2 cm2 each. What is area of triangle ABC?

A.22 𝑐𝑐𝑐𝑐2 B. 52 𝑐𝑐𝑐𝑐2 C. 20 𝑐𝑐𝑐𝑐2 D. 72 𝑐𝑐𝑐𝑐2

22. ABCD is an isosceles trapezium in which X is the midpoint of AB. If BX = 4 and angle CXD = 900. Then, what is the perimeter of the trapezium ABCD?

A. 21 𝑐𝑐𝑐𝑐2 B. 10 𝑐𝑐𝑐𝑐2 C. 24 𝑐𝑐𝑐𝑐2 D. 20 𝑐𝑐𝑐𝑐2

23. As shown in the figure, lines are drawn parallel to the bases and divide each of the other two sides of the triangle into 10 equal segments. What percentage of the area of the triangle is grey?

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A. 41.75 % B. 42.5% C. 45% D. 46%

24. The side of the square has length of 4 units. The semicircles go through the centre of the square and have their centres on the vertices of the square. The inner circles have their centres on the sides of the squares and touch the semicircles. Then what is the value of the shaded area?

A. 4 𝜋𝜋 (3 − 2√2) B. 𝜋𝜋 (3 − 2√2) C. 16 𝜋𝜋 (3 − 2√2) D. 𝜋𝜋 (3 + 2√2)

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25. Circles are drawn around the vertices of a square. There are two large circles and two small ones as shown in the figure. Then what is the ratio of the radius of a large circle to the radius of a small circle?

A. 2/9 B. 1 + √2 C. 1 D. 2.5

26. In triangle PQR, PS is the median. The measure of angle PRQ is 300 and the angle PSQ has measure of 450. What is the measure of angle QPS?

A. 450 B. 300 C. 250 D. 200

27. In the given figure, the square has a side length of 2 units. What is the radius of the smaller circle?

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A. 2+2√2.√2−1

𝐵𝐵. 2.√2+1

𝐶𝐶. 2√2.√2+1

𝐷𝐷. 2√2−2√2+1

28. ABC is a triangle with area 2 units. Sides ABC are extended to both sides to

points P, Q, R, S, T and U such that PA = AB = BS, TC = CA = AQ and UC = BC = RB. What is the area of the hexagon PQRSTU?

A. 26 B. 16 C. 21 D. 30

29. ABCD is a rectangle in which AM is the angle bisector of angle BAD and BD is a diagonal. If the distances between M and the sides BC and CD are respectively 8 and 1. Then, what is the length of CD?

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A. 8 + 2√2 B 11 - √2 C. 10 D. 8 + 3√2 E. 11 + 1/√2

30. The two regular hexagons are equal to each other as shown in the figure. What fraction of the parallelogram’s area is shaded?

A. 1/3 B. 1/2 C. ¼ D. 1/5 E. 1/6

31. In the figure shown PQR is an isosceles triangle with PQ = PR. Also, MN is perpendicular to PQ. If angle QMR = 1200 and angle PQM = 500, then what is the measure of angle MQR?

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A. 50 B. 100 C. 150 D. 200 E. 250

32. Triangle PQR is a right angled triangle at P and has PQ =2 and PR = 2√3. Altitude PL intersects median RM at F what is the length of PF?

A. √32

B. 3√37

C. 4√37

D. 5√39

33. ABC is a triangle inside which a circle is inscribed as shown in the figure. Also, segment ED is tangent to the circle. If AC = 5, AB = 6 and BC = 3, then, what is the perimeter of the triangle ADE?

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A. 7 B. 4 C. 9 D. 6 E. 8

34. The square ABCD has a side of length 2 and M is the midpoint of AB.

What is the area of the shaded region?

A. 1/4 B. 1 C. 1/2 D. 1/3

35. Square ABCD has an area of 4. E is the Midpoint of AB. Similarly, F, G, H and I are the mid points of DE, CF, DG and CH respectively. The area of ∆𝐼𝐼𝐷𝐷𝐶𝐶 𝑖𝑖𝑖𝑖

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A. ¼ B. 1/8 C. 1/16 D. 1/32

36. AD is the diameter of the circle and AB and AC are two chords drawn. If the measure of angle BAC = 60 and BE is perpendicular to AC then what is the length of chord BD given that AB = 18 and EC = 2 cm?

A. 6 √3 B. 6 √2 C. √3 D. 4 √3

37. The regular hexagon shown has a side length of 3 units. The sectors of circles each have a radius of 3 and centres in the vertices of the hexagon. What is the area of the shaded region?

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A. (6 𝜋𝜋 + 9 √3) B. 3 (6 𝜋𝜋 − 9 √3) C. (6 𝜋𝜋 + 3 √3) D. 3 (6 𝜋𝜋 + 10)

38. The two semicircles are drawn as shown in the figure. Chord CD is of

length 8 units is parallel to the diameter AB of the bigger semicircle and touches the smaller semicircle. The, what is the area of the shaded region?

A. 10 𝜋𝜋 B. 8 𝜋𝜋 C. 12 𝜋𝜋 D. 16 𝜋𝜋 39. In the diagram, PQRS is a rectangle. Point T is outside the rectangle so that ∆ PTQ is an isosceles right angled triangle with hypotenuse PQ. If PQ = 4 QR= 3 then what is the area of ∆𝑃𝑃𝑃𝑃𝑃𝑃?

A. 5 B. 6 C. 7 D. 8

40. A square PQRS with sides of length 20 cm is rolled without slipping along a

line. Initially P and Q are on the line and the first roll is around point Q. The rolling stops when P returns to the line. What is the length of the curve that P has travelled?

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A. 20 𝜋𝜋 ( 1 + √2) B. 20 𝜋𝜋 (√2) C. 10√2 𝜋𝜋(1 + √2) D. 𝜋𝜋 ( 1 + √2)

41. The coloured small squares have the same area. The side of a small square is

equal to 1. What is the side of the outer square?

A. 2√2 B. √2 C. 2 + 2√2 D. 2√2 + 4

42. As shown in the figure, there are two squares with side 2 units each with a

common vertex. The edge of one of them lies along the diagonal of the other. What is the area of the shaded region?

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A. 4-2√2 B. 1-2√2 C. 4-√2 D. None of these 43. Two congruent equilateral triangles with perimeters 24 cm are overlapped with

their sides parallel as shown in the figure. What is the perimeter of the resulting hexagon?

A. 11 cm B. 16 cm C. 12 cm D. 14 cm

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44. A square with a total area of 125 cm2 is divided into five parts as shown- four squares and an L shaped figure each having equal area. Then, what is the length of the shortest side of the L-shaped figure?

A. 1cm B. 1.2 cm C. 5√5-10 D. 3(√5 -1) cm 45. A rectangle in the figure is divided into six squares. The length of the smallest

square is 1 cm. Then, find the length of the side of the largest square?

A. 4 cm B. 7 cm C. 6cm D. 5cm

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46. In the given figure the ratio of radii of the sector and the incircle is 3:1. What is the ratio of their areas?

A. 3:2 B. 4:3 C. 5:3 D. 6:5

47. In the figure shown, if the area of the green portion is 1200 cm2, then what is

the area of the blue portion?

A. 1600 B.1200 C.1400 D. 1000 48. In the figure shown, there is a rectangular parallelopiped. If the lengths of PQ,

QR and PR are 10, 12 and 16 respectively. Then what is the length of the diagonal PA?

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A. 10 B. 5√10 C. 5√5 D. 5√15 49. ABCD is a rectangle. The numbers shown represent areas. What is the value of

x where x represents area of GHID?

A. 8 B. 11 C. 10 D. 12 50. ABCDEF is a regular hexagon and P is the midpoint of side AB. What is the

ratio of area of ∆PAD to area of hexagon ABCDEF?

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A. 15

B. 14

C. 13

D. 16

51. Three equal squares are placed together as shown in the figure. If the lines AE

and CH intersect at point P, then what is the measure of angle CPE?

A. 300 B. 450 C. 600 D. 500 52. If a and b are the perpendicular sides of a right angled triangle. If d1 is the

diameter of the incircle and d2 is the diameter of the circumcircle of this triangle, then what is the value of d1 + d2 ?

A. (a+b) B. 2(a+b) C. ½ (a+b) D. √𝑎𝑎𝑎𝑎

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53. In the given figure PQRS is a cyclic quadrilateral and the diagonal QS bisects the angle PQR. Also, PR = QR. If angle QSR = 800 and angle PRQ = 200, then what is the measure of angle QPS?

A. 100 B. 120 C.60 D.110

54. In ∆ABC, ED is the bisector of ∠BDA and DF is the bisector of ∠ADC. If

AE = 3, BE = 7, BD = 3DC and AC = 32, then what is the length of FC?

A.14 B.12 C.11 D.10 E.16

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55. ABCD is a pyramid such that all plane angles with vertex D are equal to 900. If

the area of lateral surfaces DAB, DAC and DBC are 4, 6 and 8 respectively. Then what is the volume of ABCD?

A. 10 B. 5 C. 8 D. 6 56. In the figure shown, rhombus PQRS is similar to rhombus STQU. If the area of

PQRS is 48 and angle QPS = 600, then what is the area of STQU?

A.10 B.15 C.18 D.16

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57. If the lengths of two altitudes of a triangle are 10 and 11 cm, then which of the following cannot be the length of the third altitude?

A. 5 cm B. 6 cm C. 7cm D. 10 cm 58. In the figure shown the inner triangle is equilateral with side length 2 units and

circles drawn around its vertices. What is the distance between the two points of intersection of the bigger circles?

A. 2√15 B. 3√15 C.3√10 D.4√20 59. If the lengths of the arcs AP and BP are 20 and 16 respectively, then what is

the value of angle AXP?

A. 300 B. 240 C. 180 D. 100

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60. In the given figure a square and an equilateral triangle are drawn. If the area of the square is 144 units, then what is the perimeter of the equilateral triangle?

A) 12(3 + √3 ) B) 4(1 + √3 ) C) 4(1 + √2 ) D) 4(2 + √3 )

61. A, B, C, D, and E are five points on a circle. Also, a tangent is drawn to the

circle at the point A. All the five angles marked with X are equal. Then, what is the measure of angle ABD?

A. 660 B. 70.50 C. 720 D. 750 62. ABC is a right angled triangle right angled at A. The bisectors of the acute

angles intersect at the point M. If the distance from M to the hypotenuse is 2√2, then what is the distance from M to A?

A. 4 B. 3 C. 8 D. 2√3

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63. In an isosceles triangle ABC, AB = AC = 20 and BC = 16. H is a point on BC

such that CH = 4. What is the length of AH? A. 4√2 B. 4√22 C. 8√11 D. 2√5 64. PQRS is a square with a side length of 2 units. Two equilateral triangles PQE

and PQF are drawn such that E is on the interior of PQRS and F is on the exterior of PQRS. Then, what is the area of triangle RFE?

A. √5 B. √7 C. √3 D. √5 65. We have a square ABCD with side length 1 unit such that isosceles triangle

ABE where AE = BE is drawn on the exterior of the square. If the lengths CD, AC and CE are in increasing geometric progression, then what is the area of triangle ABE?

A. √154− 1

2 B. √15

2− 1 C. √15

4 D. √15

2

66. A circle is circumscribed about a triangle PQR such that PQ = 6, QR = 8 and

PR = 9. Point M is chosen on this circle such that chord PM intersects QR at its midpoint N. What is the length of NM?

A. 4� 275

B. 16�12 C. �2

5 D. 16� 2

85

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67. There is a sector of 600 of a circle with radius 12 units inside which a square is inscribed such that two of its consecutive vertices lie on the arc of the sector. What is the area of the square?

A. 144(2 − √3) B. 24(2 − √3) C. 40(2− √3) D. 54(2 − √3) 68. A figure is formed such that it contains a square ABCD with side length 2 units

and four equilateral triangles drawn on the exterior of ABCD such that each triangle shares one distinct side with the square. What is the area of the smallest square which just contains this figure?

A. 2 + 2√3 B. 1 + √3 C. 4 + 2√3 D. 8 + 4√3 69. A right triangle DEF is such that DE = 12, EF = 16 and DF = 20 units. P, Q and

R are on sides DE, EF and DF such that EP = 4, EQ = 8 and FR = 6. What is the area of triangle PQR?

A. 65 B. 1012

C. 1045

D. 200 70. S1 is a square with side length 20 units. S2 is formed by connecting the

midpoints of sides of S1 and this process is continued such that Sn is formed by connecting the midpoints of the sides of SH-1. What is the value of ∑ [𝑆𝑆𝐻𝐻]∞

𝐻𝐻=1 where [H] denotes the area of the region H.

A. 800 B. 200 C. 135.9 D. 1000 71. A point P is inside a square ABCD such that AP = 4, BP = 6 and CP = 5. What

is the length of DP?

A. √2 B. √3 C. √5 D. √6

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72. A trapezium with bases of length 12 inches and 18 inches and height of 8 inches is revolved around the longer base to form a three dimensional figure. Then, what is the volume of the figure so formed?

A. 386𝜋𝜋 B. 768 𝜋𝜋 C. 748 𝜋𝜋 D. 400𝜋𝜋 73. PQRS is a quadrilateral in which PQ = 5, QR = 4 and RS = 10. Then, how

many integer values can PS take?

A.17 B. 18 C. 19 D. infinitely many 74. A1 is a solid figure formed when an equilateral triangle is rotated 3600 around

one of its sides. A2 is the solid figure formed when the same triangle is rotated 3600 around one of its altitudes. What is the ratio of the volume of A1 to the volume of A2?

A. √36

B. √33

C. √3 D. 2√3 75. It is given that the sum of the volumes of a regular hexagonal prism and a

regular hexagonal pyramid is 196. If the bases have the same areas and the height of the pyramid is 3 times that of the prism, then, what is the volume of the pyramid?

A. 98 B. 49 C. 92 D. 47

76. There is a rectangular prism with a square base kept inside a cylinder as shown

in the figure. The vertices of the prism lie on the circles of the cylinder’s bases. If the radius of the cylinder is 2 units while the total surface area is 20π. Then, what is the surface area of the inscribed prism?

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A. 16√2 +24 B. 24√2 +16 C. 12√2 + 8 D. 8√2 + 12

77. A. right circular cone has a slant height of 5. The measure of the vertex angle

i.e. the top angle of the triangular cross section is given by the function A(t) = t2 +7t +60 where A(t) is in degrees. Assuming that the slant height remains constant, what is the difference in areas of the cone’s base at t=5 and t=3?

A.125𝜋𝜋(3−2�2)24

B. 25𝜋𝜋/4 C. 3/2 D. 125𝜋𝜋(3−�2)24

78. The base of the triangular piece of paper ABC is 12 cm long. The paper is

folded down over the base of the paper. The area of the triangle that projects below the base 16% that of the area of the triangle ABC. The length of DE in cm, is

A. 9.6 B. 8.4 C. 7.2 D. 4.8

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79. There is a regular hexagon ABCDEF of side length 2. Diagonals AC, BD, CE, DF, EA and FB are drawn to form another hexagon in the middle. Then, what is the area of the smaller hexagon?

A. 1/√3 B. √3 C. 2√3 D. 2/√3/9 80. A regular dodecagon is inscribed in a circle of radius 4 units. What is its area? A. 48 B. 24 C. 28 D. 44 81. Three circles of radius 4 units each are stacked together so that each is

externally tangent to the other two. A smaller circle is placed in the middle so that it touches all the three larger circles. What is the perimeter of the smaller circle?

A. √3+12 3

B. 4√3−12 5

C. 8√3−12 3

D. 4 82. What is the length of the angle bisector to the hypotenuse drawn in a right

triangle with lengths 7, 24 and 25?

A. 84∗2√231

B. 24∗2√231

C. 44√231

D. 24∗2√231

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83. PQR is a triangle in which point T is on PQ and S is a point on PR. If PT:TQ =

4:5 and PS : SR = 2:3 and point U is the intersection of SQ and TR. Then, what is the ratio of lengths of QU to US?

A. 25:12 B. 25:3 C. 3:4 D. 4:3 84. In the given figure chords CE and DE are equal to each other while O is the

centre of the circle. If the measure of arc AB is 600, then what is the ratio of area of triangle CED to the area of triangle AOB?

A. √3/4 B. 3√3/2 C. 4/√3 D. √3/3 85. A right triangle with sides AB = 9, BC = 12 and AC = 15 is drawn. BF and BE

are the trisectors of angle ABC. What is the length of BE?

A. 12

4+3√3 B. 72

11+3√3 C. 72

4+3√3 D. 72

3√3

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86. If the slant height of a regular right hexagonal pyramid is 6 while its height is

10. What is the volume of the pyramid? A. 72√3 B. 96√3 C. 192√3 D. 160√3 87. In the given figure, there is a cube of side length 8 units. M is the midpoint of

AB and N is the midpoint of N. The face opposite to ABCD is a square PQRS. What is the area of the triangle MNQ?

A. 2√5 B. 4√10 C. 16√5 D. None of these 88. There is right circular cone of diameter 12 and height 6 units. Water is being

poured into this cone. When the cone is 1/9th filled then what is the distance of water’s surface from the top of the cone?

A. √143 B. √193 C. 2√243 D. √493

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89. In triangle ABC, BM and AN are medians. If BM = 15, AN = 18 and AB = 21. Then what is the perimeter of triangle OMN

A. 21.5 B. 24 C. 20.5 D. 25.5

90. There is an equilateral triangle of perimeter 3√3 inscribed inside another

equilateral triangle as given in the figure. AB = 1, then what is the area of the larger equilateral triangle?

A. 3√3

2 B. 9√3

4 C. 3√3 D. 3/2

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91. In the given figure, the regular octagon formed has a perimeter of 32 units. What is the area of the quadrilateral QOPH?

A. 8 + 4√8 B. 4√8 C. 6 + 4√8 D. 2 + 4√8 92. In the diagram, right angled triangles AED and BFC are constructed inside

rectangle ABCD so that F lies on DE. If AE = 21, ED = 72 and BF = 45 what is the length of AB?

A. 50 B. 48 C. 52 D. 54 E. 56 93. In the figure given below, ABC is a right triangle right angled at A and angle

DAC = 600. Also, AD ⊥ BC, ED ⊥ AB, EF ⊥ BC. Also, BC = 80 units. Find the value of BF + BE + BD + AB.

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A. 15 B. 35 C. 75 D. 80 94. In triangle PQR, PQ = 8, PR = 10 and QR = 9 units. Line segments AC and BD

are drawn parallel to side PR with A and B on PQ and C and D on side QR with BD closer to PR such that the triangle is divided into three equal areas. What is the length of BD?

A. 10√62

B. 5√63

C. 13√63

D. 10√63

95. In triangle ABC, DE and DF are parallel to AC and BC respectively. If BE is 5

and EC is 3 units, then what is the ratio of the area of triangle AFD to the area of the parallelogram DFCE?

A. 3/10 B. 7/15 C. 5/8 D. 3/2

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96. DEF is a right angled triangle right angled at E. Inside it a square PQRS is constructed as shown in the figure. If EP = 48 and EQ = 36, then what is the length of the segment DF?

A. 188 B.185 C. 187 D. 180 97. In an equilateral triangle, six perpendiculars are drawn from the midpoints of

the sides as shown in the figure. What fraction of the area of the initial triangle does the resulting hexagon cover?

A. 1/3 B. 2/5 C. 4/9 D. ½ 98. There is a rectangle ABCD in which S, T, U and V are the midpoints of sides

AB, BC, CD and DA respectively. If M is the midpoint of the segment UV, then what is ratio of area of triangle MST to area of the rectangle ABCD.

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A. 2 B.4 C. 1 D. 6

99. There are four semicircles drawn of radius 2 units as shown in the figure andtheir centres are at the midpoints of the sides of a square. What is the radius ofthe smaller circle that touches all the four semicircles?

A. 3√2− 2 B. 2√2− 2 C. √2 − 2 D. 2√2

100. In the figure shown below, it has two squares of sides 4 and 2 cmrespectively. What is the area of the shaded region?

A.8 B.4 C. 6 D.2

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ANSWER KEY:

1. A 11. A 21. A 31. A 41. C 51. B 61. C 71. C 81. C 91. A2. B 12. D 22. C 32. C 42. A 52. A 62. A 72. B 82. A 92. A3. C 13.B 23. C 33. E 43. B 53. B 63. B 73. A 83. A 93. C4. D 14. D 24. C 34. D 44. C 54. A 64. C 74. D 84. C 94.D5. B 15.B 25. B 35. B 45. B 55. C 65. A 75. A 85. C 95. A6. B 16.A 26. B 36. A 46. A 56. D 66. D 76. B 86. C 96. B7. C 17.D 27. D 37. B 47. A 57. A 67. A 77. B 87. C 97. D8. C 18. A 28. A 38. B 48. B 58. A 68. D 78. B 88. C 98. A9. D 19. D 29. A 39. C 49.B 59. D 69. C 79. C 89. A 99. B10. D 20.C 30. B 40. C 50. D 60. A 70. A 80. A 90. B 100. B