Mensuration

Mensuration

Easy Questions
Moderate Questions
Difficult Questions

Aptitude

Simplification
Number System
Fractions
Elementary Algebra
LCM and HCF
Approximation
Unitary Method
Linear Equation
Quadratic Equation
Discount
Average
Surds and Indices
Percentage
Square root and cube root
Order of Magnitude
Work and Wages
Odd Man Out and Series
Algebra
Profit and Loss
Stocks and Shares
True Discount
Ratio, Proportion
Partnership
Alligation or Mixture
Time and Work
Pipes and Cistern
Speed, Time and Distance
Problem on Trains
Height and Distance
Banker's Discount
Boats and Streams
Races and games
Problems on Ages
Clocks and Calendars
Simple interest
Compound Interest
Sets and Functions
Area and Perimeter
Volume and Surface Area of Solid Figures
Sequences and Series
Plane Geometry
Logarithm
Probability
Permutation and Combination
Statistics
Mensuration
Trigonometry
Aptitude miscellaneous
  1. If the radius of a circle is increased by 20% then how much will its area be increased by ?








  1. View Hint View Answer Discuss in Forum

    Required increase = 20 + 20 +
    20 × 20
    		 %
    100

    = 44%

    Correct Option: B

    Required increase = 20 + 20 +
    20 × 20
    		 %
    100

    = 44%

  1. A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water (in litres) will fall into the sea in a minute?








  1. View Hint View Answer Discuss in Forum

    Volume of water flowed in an hour = 2000 × 40 × 3 cubic metre
    = 240000 cubic metre
    ∴ Volume of water flowed in 1 minute

    =
    240000
    		 = 4000 cubic metre
    60

    = 4000000 litre

    Correct Option: B

    Volume of water flowed in an hour = 2000 × 40 × 3 cubic metre
    = 240000 cubic metre
    ∴ Volume of water flowed in 1 minute

    =
    240000
    		 = 4000 cubic metre
    60

    = 4000000 litre

  1. The height of an equilateral triangle is 4√3cm. The ratio of the area of its circumcircle to that of its in-circle is








  1. View Hint View Answer Discuss in Forum

    Radius of the circumcircle =
    2
    		 × 4√3 cm = 2r cm
    3

    Radius of the in circle =
    1
    		 × 4√3 cm = r cm
    10

    ∴ Required ratio = π(2r)² : πr² = 4 : 1

    Correct Option: B

    Radius of the circumcircle =
    2
    		 × 4√3 cm = 2r cm
    3

    Radius of the in circle =
    1
    		 × 4√3 cm = r cm
    10

    ∴ Required ratio = π(2r)² : πr² = 4 : 1

  1. A circle is inscribed in a square whose length of the diagonal is 12√2 cm. An equilateral triangle is inscribed in that circle. The length of the side of the triangle is








  1. View Hint View Answer Discuss in Forum


    Side of square =
    1
    		 × 12√2 cm = 12 cm
    √2

    ∴ Radius of circle =
    12
    		 = 6 cm
    2

    AB = 2x cm
    ∴ FH = x cm
    ∴ From ∆OFH,
    cos 30° =
    FH
    OF

    ⇒
    √3
    		 =
    x
    26

    ⇒ x =
    6 × √3
    		 = 3√3
    2

    ∴ Length of side = 6√3 cm

    Correct Option: C


    Side of square =
    1
    		 × 12√2 cm = 12 cm
    √2

    ∴ Radius of circle =
    12
    		 = 6 cm
    2

    AB = 2x cm
    ∴ FH = x cm
    ∴ From ∆OFH,
    cos 30° =
    FH
    OF

    ⇒
    √3
    		 =
    x
    26

    ⇒ x =
    6 × √3
    		 = 3√3
    2

    ∴ Length of side = 6√3 cm

  1. The radius of the incircle of a triangle whose sides are 9 cm, 12 cm and 15 cm is








  1. View Hint View Answer Discuss in Forum

    9² + 12² = 15²
    ∴ The triangle is right angled

    AB = 9, BC = 12 cm
    OD = OE = OF = x cm
    AD = AF = 9 – x
    EC = CF = 12 – x
    ∴ AC = AF + FC
    = 9 – x + 12 – x = 15
    ⇒ 21– 2x = 15
    ⇒ 2x = 21 – 15 = 6

    ⇒ x =
    6
    		 = 3 cm.
    2

    Correct Option: C

    9² + 12² = 15²
    ∴ The triangle is right angled

    AB = 9, BC = 12 cm
    OD = OE = OF = x cm
    AD = AF = 9 – x
    EC = CF = 12 – x
    ∴ AC = AF + FC
    = 9 – x + 12 – x = 15
    ⇒ 21– 2x = 15
    ⇒ 2x = 21 – 15 = 6

    ⇒ x =
    6
    		 = 3 cm.
    2