Mensuration Questions and answers

  1. Aptitude
    1. Compound interest
    2. Boat and Stream
    3. Trains
    4. Percentage
    5. Discount
    6. Mixture and Allegation
    7. Unitary Method
    8. Work and Wages
    9. Pipes and Cisterns
    10. Linear Equations
    11. Approximation
    12. Word problems
    13. Number System
    14. Time and Distance
    15. Average
    16. Ratio and Proportions
    17. Profit and Loss
    18. Partnership
    19. Permutation and combination
    20. Probability
    21. Problem on ages
    22. Time and work
    23. Simple and compound interest
    24. Mensuration
    25. Number series
31). If h is height and \( \Large \alpha \) is semivertical angle of a right circular cone, then its volume is given by
A). \( \Large \frac{1}{3} \pi h^{3} \tan^{2} \alpha \)
B). \( \Large \frac{1}{3} \pi h^{2} \tan^{2} \alpha \)
C). \( \Large \frac{1}{3} \pi h^{3} \tan^{3} \alpha \)
D). \( \Large \frac{1}{3} \pi h^{2} \tan^{3} \alpha \)
32). If edges of a cuboid are 3 cm, 4 cm and 12 cm then length of its diagonal is .
A). \( \Large \sqrt{5} cm \)
B). \( \Large \sqrt{19} cm \)
C). 12 cm
D). 13 cm
33). The area of a rhombus with side 50 cm and one of the diagonals 80 cm is
A). \( \Large 1600 cm^{2} \)
B). \( \Large 500 cm^{2} \)
C). \( \Large 1200 cm^{2} \)
D). \( \Large 2400 cm^{2} \)
34). If radius of a cone is increased by 50% and its height is decreased by 20%, then volume of the cone
A). reduced by 20%
B). remains the same
C). increases by 50%
D). increases by 80%
35). A right pyramid 10 cm high has a square base of which the diagonal is 10 cm. The whole surface area is
A). \( \Large 200 cm^{2} \)
B). \( \Large 205 cm^{2} \)
C). \( \Large 210 cm^{2} \)
D). \( \Large 220 cm^{2} \)


36). Volume of a right circular cylinder and volume of a sphere (whose radius is same as that of cylinder) are equal, if height of the cylinder is
A). \( \Large \frac{4}{5}\ times\ of\ its\ radius \)
B). \( \Large \frac{4}{3}\ times\ of\ its\ radius \)
C). equal to its radius
D). equal to its diameter
37). Six cubes, each with 10 cm are joined end to end in a row. The surface area of resulting cuboid is
A). \( \Large 2600 cm^{2} \)
B). \( \Large 2400 cm^{2} \)
C). \( \Large 1400 cm^{2} \)
D). \( \Large 600 cm^{2} \)
38). If volume of a cube is \( \Large 729 cm^{3} \), then total surface area of the cube is
A). \( \Large 216 cm^{2} \)
B). \( \Large 384 cm^{2} \)
C). \( \Large 486 cm^{2} \)
D). \( \Large 512 cm^{2} \)
39). A plot of land is in the shape of a right angled isosceles triangle. Length of the hypotenuse side is \( \Large 50\sqrt{2} m \). If cost of fencing is Rs. 2 per meter, then cost of fencing the plot is
A). Rs.381
B). Rs.341
C). Rs,391
D). Rs.371
40). A 10m wide lawn is culivated all along the outside of a rectangular plot measuring \( \Large 100 m \times 50 m \). The total area of the lawn is
A). \( \Large 750 m^{2} \)
B). \( \Large 5000 m^{2} \)
C). \( \Large 2800 m^{2} \)
D). \( \Large 3400 m^{2} \)
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