Geometry

26. The area of a rectangular R width 4 feet is equal to the area of a square S which has a perimeter of 24 feet. The perimeter of the rectangular R, in feet is--

• ক. 9
• খ. 16
• গ. 24
• ঘ. 26

27. If an angle of a parallelogram is 60 degrees, find the number of degree of remaining angles.

• ক. 60, 60, 60
• খ. 30, 60, 90
• গ. 60, 120, 120
• ঘ. 60, 120, 150

28. If the legs of a right triangle is 3 and 4, then the length of hypotenuse is approximately:

• ক. 3
• খ. 4
• গ. 5
• ঘ. 6

29. A rectangle area of 16 meters by 12 meters. is surrounded by a road of 3 meters wide. The area of the road is:

• ক. 78
• খ. 132
• গ. 204
• ঘ. 216

30. If the length and width of a ractangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot?

• ক. 44%
• খ. 24%
• গ. 36%
• ঘ. 40%

31. If two sides of the triangle below have lengths 5 and 6, the perimeterof the triangle could be which of the following? I. 11 II. 15 III.24

• ক. I only
• খ. II only
• গ. III only
• ঘ. II and III only

32. A circle wheel 28 inches in diameter rotates the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minute does the larger wheel make in terms of x?

• ক. 12x
• খ. 48x
• গ. 24x
• ঘ. 36x

33. The perimeter of rectangle is 200 meter. The breadth is 3/7 part of the length. What is the length?

• ক. 30m
• খ. 50m
• গ. 60m
• ঘ. 70m

34. The second angle of a right triangle is 30°. Then what is the third angle?

• ক. 50°
• খ. 60°
• গ. 70°
• ঘ. 80°

35. What is the area of a square (in sq. meter) if its perimeter is 40 meter?

• ক. 10
• খ. 100
• গ. 200
• ঘ. None of these

36. How many tiles each 1 foot square are necessary to form a 1 foot border around the inside of a room 24 feet by 14 feet?

• ক. 36
• খ. 37
• গ. 72
• ঘ. 74

37. A triangle has a base x and and an altitude y. A second triangle has a base twice the altitude of the first triangle and and an altitude twice the base of the first triangle. What is the area of the second triangle?

• ক. 2xy
• খ. 0.5xy
• গ. 0.66 xy
• ঘ. 4xy

38. If a triangle has base B and the altitude of the triangle is twice the base, then the area of the triangle is:

• ক. 1/2AB
• খ. AB
• গ. 1/2B2
• ঘ. B2

39. If the circumference of a circle is increased by 50%, its area will be increased by:

• ক. 50%
• খ. 100%
• গ. 125%
• ঘ. 225%

40. One side of a rectangular field is 4 meters and its diagonal is 5 meters. The area of the field is--

• ক. 12 sq. m
• খ. 15 sq. m
• গ. 20 sq. m
• ঘ. 4√5 sq. m

41. The diameter of a wheel is 63 cm. Distance traveled by the wheel in 100 revolutions is--

• ক. 99 meters
• খ. 198 meters
• গ. 63 meters
• ঘ. 136 meters

42. If the coordinates of A and B are (4, 1) and (-2, 7) respectively, then the coordinates of the midpoint of AB are--

• ক. (1, 4)
• খ. (-3, 4)
• গ. (3, -4)
• ঘ. None of these

43. ABCD is a square, EFGH is arectangle, AB = 3, EF = 4, FG = 6. Determine the area of the region outside of ABCD and inside of EFGH.

• ক. 24
• খ. 9
• গ. 18
• ঘ. 15

44. In square ABCD below, if DE = EB and DF = FC, then the area of the shaded region is what fraction of the area of square region ABCD?

• ক. 1/16
• খ. 1/8
• গ. 1/4
• ঘ. 1/6

45. If the area of a circle is 25π then diameter of the circle is--

• ক. 6
• খ. 10
• গ. 20
• ঘ. 25

46. What is the width of a rectangular field, whose length is 70 feet more than its width and the perimeter is 500 feet?

• ক. 60 feet
• খ. 70 feet
• গ. 80 feet
• ঘ. 90 feet

47. If a square region (PQRS) has an area of 4 square feet, what is the length of its diagonal(PR)?

• ক. 4 feet
• খ. 2 feet
• গ. 8 feet
• ঘ. 2√2 feet

48. Starting from Town S, Mr. Ahsan drove straight East for 3 kms, then he turned left and drove straight North for 4 kms and stopped at Town T. What is the straight-line distance from Town S to Town T?

• ক. √7 kms
• খ. 5 kms
• গ. 8 kms
• ঘ. 2√3 kms

49. A rectangular carpet, that is 9 feet by 12 feet, covers 60% of a rectangular floor. What is the area of the floor?

• ক. 300 square feet
• খ. 180 square feet
• গ. 108 square feet
• ঘ. 64.8 square feet

50. In the figure below, AB is perpendicular to BC and DB = DC. If AD = √10 cm and AC = 4 cm, what is the value of BC?

• ক. 5cm
• খ. 4 cm
• গ. 8 cm
• ঘ. 10 cm