Quiz  /  Mensuration SSC MCQ Questions With Answers

  • 1. 
    The two adjacent sides of a parallelogram are 5 cm and 4 cm respectively, and if the respective diagonal is 7 cm then find the area of the parallelogram.

  • 8√6 cm2
  • 9√5 cm2
  • 12√6 cm2
  • 4√3 cm2

  • 2. 
    A chord AB of a circle of radius 12 cm makes an angle of 30° at the center of the circle. Find the difference between the areas of the major and minor segments of the circle. (Use π = 3.14)

  • 224.4 cm2
  • 448.8 cm2
  • 242.4 cm2
  • 848.4 cm2

  • 3. 
    The length of the diagonal of a cube is 5√3 cm. The volume of the cube is (in cm3)

  • 216
  • 64
  • 125
  • 140

  • 4. 
    A rectangular plot measuring 80 meters by 45 meters is to be enclosed by wire fencing. If the poles of the fence are kept 10 meters apart, how many poles will be needed?

  • 26
  • 25
  • 27
  • 24

  • 5. 
    Perimeter of a rhombus is 2p unit and sum of length of diagonals is m unit, then area of the rhombus is

  • \(\frac{1}{4}{m^2}p\;sq\;unit\)
  • \(\frac{1}{4}m{p^2}\;sq\;unit\)
  • \(\frac{1}{4}\left( {{m^2} - {p^2}} \right)sq\;unit\)
  • \(\frac{1}{4}\left( {{p^2} - {m^2}} \right)sq\;unit\)

  • 6. 
    The radius of a sphere and hemisphere are same. The ratio of their total surface area is

  • 3 : 1
  • 2 : 1
  • 3 : 2
  • 4 : 3

  • 7. 
    BE and CF are two altitudes of a triangle ABC. If AB = 8 cm, AC = 6 cm and CF = 3 cm, then the length of BE is

  • 4 cm
  • 7.5 cm
  • 9.6 cm
  • 7 cm

  • 8. 
    A rectangle has 20 cm as its length and 320 sq cm as its area. Its area is increased to 1 ¼ times its original area by increasing only its length. Its new perimeter is

  • 82 cm
  • 81 cm
  • 76 cm
  • 72 cm

  • 9. 
    Volumes of two hemispheres are in the ratio 64 : 343. Ratio of Total surface area of first hemisphere to Curved surface area of second hemisphere is:

  • 8 : 7
  • 16 : 7
  • 24 : 49
  • 48 : 49

  • 10. 
    The area of the largest circle (in cm2) that can be drawn inside a square of side 14 cm is

  • 256π
  • 49π
  • 36π
  • 81π

  • 11. 
    In a trapezium ABCD, if AB || CD, then AC2 + BD2 is equal to:

  • BC2 + AD2 + 2AB. CD
  • AB2 + CD2 + 2AD. BC
  • AB2 + CD2 + 2AB. CD
  • Insufficient data

  • 12. 
    The areas of three consecutive faces of a cuboid are 16 cm2, 9 cm2 and 25 cm2, then the volume (in cm3) of the cuboid is

  • 3000
  • 100
  • 80
  • 60

  • 13. 
    ABCD is a square of side 14 cm. With A, B, C and D as centres and radius 7 cm, four arcs are drawn. The area of the region within the square unbounded by the arcs is

  • 157.5 cm2
  • 176 cm2
  • \(\left( {\frac{\pi }{2}} \right)\) cm2
  • 42 cm2

  • 14. 
    The length of the unequal side of an isosceles triangle is 2x – 2y + 4z, and its perimeter is 4x – 2y + 6z. Then the length of each of the equal sides is

  • x + y
  • x + y + z
  • 2(x + y)
  • x + z

  • 15. 
    Area of parallelogram whose base is 8cm and height 5cm is

  • 80 sq cm.
  • 40 sq cm.
  • 20 sq cm.
  • None of these

  • 16. 
    A conical cup is filled with ice-cream. The ice-cream forms a hemispherical shape on its open top. The height of the hemispherical part is 7 cm. the radius of the hemispherical part equals the height of the cone. Then the volume of the ice-cream is (use π = 22/7)

  • 1078 cubic cm
  • 1708 cubic cm
  • 7108 cubic cm
  • 7180 cubic cm

  • 17. 
    What is the length of the side of an equilateral triangle, if its area is 64√3 sq cm?

  • 8 cm
  • 16 cm
  • 16√3 cm
  • 8√3 cm

  • 18. 
    The area of the greatest circle, which can be inscribed in a square whose perimeter is 360 cm, is

  • (22/7) × (45)2 cm2
  • (22/7) × (21/2)2 cm2
  • (22/7) × (45/2)2 cm2
  • (22/7) × (27/2)2 cm2

  • 19. 
    A hemisphere is kept on top of a cube. Its front view is shown in the given figure. The total height of the figure is 21 cm. The ratio of curved surface area of the hemisphere and total surface area of cube is 11 ∶ 42. What is the total volume (in cm 3) of figure?

  • 3318.33
  • 3462.67
  • 3154.67
  • 3248.33

  • 20. 
    A conical tent, having volume 1232 cu. m and the area of its base 154 sq. m, has to cover with a waterproof canvas. Find the length of the canvas required to cover the tent, if the canvas is 25m in width. \(\left( {Take\;\pi = \frac{{22}}{7}} \right)\)

  • 20 m
  • 22 m
  • 27 m
  • 25 m

  • 21. 
    The difference between the perimeter and the side of a square is 12 cm. The area of the square is:

  • 12 cm2
  • 16 cm2
  • 144 cm2
  • 36 cm2

  • 22. 
    If base and height of parallelogram are in ratio of 2:3 and area of parallelogram is 600 m2. Find height of parallelogram.

  • 28m
  • 30m
  • 32m
  • 36m

  • 23. 
    The height of a right circular cone is 21 cm and its base radius is 5 cm. Find it’s volume.

  • 500 cm3
  • 550 cm3
  • 560 cm3
  • 480 cm3

  • 24. 
    The perimeter of a square is 40 cm, find its area?

  • 100 sq cm
  • 25 sq cm
  • 50 sq cm
  • 160 sq cm

  • 25. 
    The area of trapezium is 1120m2. If the parallel sides are in ratio of 6 : 8 and distance between parallel side is 32m, then the length of smaller parallel side is

  • 40m
  • 36m
  • 32m
  • 30m

  • 26. 
    If the measures of one side and one diagonal of a rhombus are 13 cm and 24 cm respectively then its area in cm2 is:

  • 72
  • 96
  • 108
  • 120

  • 27. 
    In the given figure, PQRS is a rectangle, a semicircle with SR as the diameter is drawn. A circle is drawn a shown in the figure. If QR = 7 cm, then what is the radius (in cm) of the small circle?

  • 21 + 14√2
  • 21 - 14√2
  • Both 1 and 2
  • None of these

  • 28. 
    A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X, Y and Z are mid points of the edges of the cube. What is the total surface area (in cm2) of the pyramid?

  • 48[√3 + 1]
  • 24[4 + √3]
  • 28[6 + √3]
  • 32[3 + √3]

  • 29. 
    The ratio of circumference and diameter of a circle is 22 : 7. If the circumference be \(1\frac{4}{7}\)m, then the radius of the circle is:

  • ½ m
  • ¼ m
  • 1 m
  • 1/3 m

  • 30. 
    The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 64π sq cm?

  • 128 sq cm
  • 196 sq cm
  • 108 sq cm
  • 256 sq cm
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