APPSC DAO 2011 Mensuration question paper

1. In a A ABC mdc= 120'. If M is the foot of the perpendicular from A on BC, then the points are in the order
(1) B - M - C
(2) M - B - C
(3) M - C - B
(4) C-M - B

2.If the angles A,B,C of a triangleare in the ratio 2 : 3 : 4, then angle B is
(1) 60°
(2) 30°
(3) 40°
(4) 90°

3. Three angles of a quadrilateral are respectively equal to 110°, 40° and 50' then the fourth angle is
(1) 70°
(2) 140°
(3) 160°
(4) 90°

4. A triangle can have
(1) two right angles
(2) two abtuse angles
(3) each angle less than 60°
(4) two acute angles

5. The sum of the interior angles of a pentagon is
(1) 360°
(2) 180°
(3) 540°
(4) 270°

6.The angles of a triangle are 2x + 35, 3x - 5 and 5x - 50 degrees.
Then x =
(1) 10°
(2) 20°
(3) 30°
(4) 40°

7.In ABC , b2 = a2 + c2, then the ricrhi. angle is
(1) A
(2) 1 R
(3) I C
(4) 1.±1 or Lq

8. The total surface area of a cylinder is
(1) 27rr
(2) 2R-rh
(3) 271-r(r+h)
(4) 27r(r+ h

9. A metal pipe is 77 cm long, The inner diameter of a cross section is 4 cm. Then the inner curved surface area is
(1)968 cm2
(2) 484 cm2
(3)102 cm2
(4)986 cm2

10. The curved surface area of a right circular cylinder of height 14 cm is 88 cm'. Then the diameter of the base of the cylinder is
(1)1 cm
(2)2 cm
(3)4 cm
(4)0.5 cm

11. A Joker's cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Then the area of the sheet required to make 10 such caps is
(1) 500 cm'
(2) 700 cm2
(3) 5500 cm

12. To make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet, the sheet required is
(1) 748m2
(2) 7.48m2
(3) 74.8m2
(4) 7480 m2

13. The radius and slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 cm2, then the radius is
(1) 10 cm
(2) 22 cm
(3) 20 cm
(4) 12 cm

14. If the radius and vertical height of a cone are 5 cm and 12 cm respectively, the curved surface area is
(I) 200 cm2
(2) 204 2/7
(3) 200 cm2
(4) 204 cm2

15. In two cones, if the curved surface area of one is twice that of the other and the slant height of the latter is twice that of the former, the ratio of their radii is
(1) 4 : 1
(2) 4 : 5
(3) 3 : 4
(4) 3 : 5

16. The surface area of the sphere of radius 7 cm is
(1) 394 cm2
(2) 2464 cm2
(3) 254 cm2
(4) 616 cm2

17. If the diameter of the moon is• approximately one fourth of the diameter of the earth, the ratio of their surface areas is
(1) 1 : 4
(2) 4 : 1
(3) 1 : 16
(4) 1 : 8

18. The radius of a sphere with surface area 154 cm2, is
(1) 7 cm
(2) 3.5 cm
(3) 14 cm
(4) 49 cm

19. A right circular cylinder just encsice¬a sphere of radius r. Then the ratio of surface area of the sphere and curved surface area of the cylinder is
(1) 1 : 1
(2) 1 : 2
(3) 2 3
(4) 2 : 1

20. The length, breadth and height of a room are in the ratio 3 2 .: 1. If its volume is 82944 dm3, then the length of the room is
(1) 60 dm
(2) 45 dm
(3) 72 dm
(4) 30 dm

21. The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. The volume of the wood used is
(1) 5700 cm3
(2) 5720 cm3
(3) 5000 cm3
(4) 5020 cm3

22.The inner radius of a pipe is 2 cm.How much water can 14 m of this pipe
hold?
(1) 0.176 m3
(2) 176m3
(3) 17.6m3
(4) 0.0176m3

23. A solid cylinder has a total surface area of 462 cm2. Its curved surface area is one-third of its total surface area. Then the radius of the cylinder is
(1) 7 cm
(2) 3.5 cm
(3) 14 cm
(4) 21 cm

24. Two cylindrical cans have bases of the same size. The diameter of each is 14 cm. One of the cans is 10 cm length and the other is 20 cm. Then the ratio of their capacities is
(1) 7 : 5
(2) 1 : 2
(3) 3 : 4
(4) 4 : 7

25. The volume of a circular cone is
(1) 4 pie r2h
(2) pie r2h
(3) 4/3 pie r2h

26. If the height of a cone is 15 cm and 1- = volume is 770 cm3, then the radius - - the base is
(1) 5 cm
(2) 7 cm
(3) 10 cm
(4) 12 cm

27. The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, then the height of the cone is
(1) 48 cm
(2) 32 cm
(3) 24 cm
(4) 12 cm

28. The base radii of two right circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes is
(1) 3 : 5
(2) 6 : 13
(3) 9 : 25
(4) 9 : 15

29. Two straight lines are parallel if their slopes are
(1) zero
(2) equal
(3) not equal
(4) undefined

30. If two lines intersect at right angles,then the product of their slopes is
(1) -1
(2) 1
(3) 0
(4) CC

31. If the area of a triangle ABC is 18 cm2, D ,E and F are the midpoints
of the sides BC, CA and AB respectively, then the area of the triangle DEF is
(1) 9 cm2
(2) 4 cm2
(3) 3.5 cm2
(4) 4.5 cm2

32. If the ratio of the bases of two triangles is a: b and the triangles are equal in area, then the ratio of their corresponding altitudes is
(1) a : b
(2) b : a
(3) a : 2b
(4) 2a : b

33. If in A ABC , AC2 = AB2 + BC2 , then
I ABC =
(1) 180°
(2) 90°
(3) 46°
(4) 50°

34. The lengths of the sides of certain triangles are given below. Which of them is a right angled triangle?
(1) 6 cm, 8 cm, 11 cm
(2) 5 cm, 8 cm, 10 cm
(3) 8 cm, 15 cm, 17 cm
(4) 7 cm, 23 cm, 24 cm

35. A rope of 2.2 m long has been put in the form of a circle. The area of the circle so formed is
(1) 4400 cm2
(2) 2620 cm2
(3) 2560 cm2
(4) 3850 cm2

36. If A ABC - A PQR , then AR: PQ =
(1) QR : BC
(2) AC: PR
(3) PR : AC
(4) BC : QR

37. If AB : ZY = BC : XY = AC : XZ then ABC is similar to
(1) XYZ
(2) ZXY
(3) ZYX
(4) YZX

38. If ABC - A PQR,AB = 3.6 cm. PQ = 2.4 cm and PR= 5.4 cm, then AC =
(1) 3.6 cm
(2) 5.4 cm
(3) 4.5 cm
(4) 8.1 cm

39.The slope of the line y = 5x + 3 is
(1) 3
(2) 0
(3) 5

(4) 3

40. Two straight lines are parallel if their slopes are
(1) zero
(2) equal
(3) not equal
(4) undefined

41. If two lines intersect at right angles,
then the product of their slopes is
(1) -1
(2) 1
(3) 0

42. The slope of a line perpendicular to the line 5x - 2y + 4 = 0 is

(1) -2/5
(2) -5/2
(3)2
(4)2/5

43.The slope of the line y = 5x + 3 is
(1) 3
(2) 0
(3) 5
5
(4) 3

44. Two straight lines are parallel if their slopes are
(1) zero
(2) equal
(3) not equal
(4) undefined

45. If two lines intersect at right angles,
then the product of their slopes is
(1) -1
(2) 1
(3) 0
(4) CC

46. If A = (4,2), B = (1, y ) and AB =5.
then the possible values of y are
(1) 2,1
(2) - 6,-2
(3) 5,2
(4) 3,5

47. One end of the diameter of a circle is (3,2) and the centre is (0,0) . Then the
coordinates of the other end of the diameter is
(1) (3, - 2)
(2) (- 3,2)
(3) (2,3)
(4) (- 3, - 2)

48. If R divides the join of P (3,2) and Q(6, - 1) in the ratio 1 : 2, then the coordinates of the point R is
(1) (1,6)
(2) (1, 2)
(3) (4,1)
(4) (2,3)

49. The equation of a line with the slope 2
and passing through a point (2, 3)
is
(1) 2x + 3y - 7 = 0
(2) x - 3y -- 13 = 0
(3) 2x + 3y - 13 = 0
(4) x + 2y = 9

50. Find the equation of a line passing through the point (4, 3) whose sum of the intercepts on the coordinate axes is -1
(1) x - 2y + 2 = 0
(2) x + 2y - 2 = 0
(3) y - 2x + 3 = 0
(4) 2y + x - 2 = 0

APPSC DAO 2011 Mensuration question paper

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