Quants Questions : Mensuration Set 2

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1. After measuring 100m of a rope, it was discovered that the metre rod was 2cm longer. The true length of the rod is
   A)95m
   B)98m
   C)96m
   D)93m
   
   Answer

   B)98m
   Explanation :
   100*2 = 200cm measured long
   Correct length = 100 – (200/100) = 100 -2 = 98m
   
   
   
2. A circle is drawn circumscribing a rectangle of sides 8cm and 6cm, find the area of the circle
   A)78.5cm²
   B)82.7cm²
   C)65.4cm²
   D)54.9cm²
   
   Answer

   A)78.5cm²
   Explanation :
   Diagonal of rectangle = Diameter of circle
   Diameter = √ (64+36)  = 10
   Radius = 5cm
   Area of circle = 3.14*5*5 = 78.5cm²
   
   
   
3. If the sides of a equilateral triangle is increased by 10% , 30%and 60%then a new triangle is formed. By what % perimeter of the triangle is increased ?
   A)40.50%
   B)32.45%
   C)33.33%
   D)35.67%
   
   Answer

   C)33.33%
   Explanation :
   Let a = side of the triangle
   Perimeter = 3a
   New perimeter = a*110/100 + a*130/100 + a*140/100
   = a(11+13+16)/10 = 4a
   % increased in perimeter = (4a – 3a/3a)*100
   = 100/3 = 33.33%
   
   
   
4. If length, breadth and height of a hall is 14m,8m,8m then find the diagonal of the hall ?
   A)15m
   B)17m
   C)19m
   D)18m
   
   Answer

   D)18m
   Explanation :
   Diagonal = √ (14²+8²+8²)
   = √ (196+64+64)
   = √324
   = 18m
   
   
   
5. The base and the other side of an isosceles triangle is 8cm and 12cm. Find its triangle ?
   A)45.2 cm²
   B)54.8 cm²
   C)40.5 cm²
   D)38.7 cm²
   
   Answer

   A)45.2 cm²
   Explanation :
   Area = b/4√ (4a² –b²)
   = 8/4√ (4*144 – 64)
   = 2(22.6) = 45.2cm²
   
   
   
6. Find the area of sheet required to prepare an 60m height cone with base radius 32cm.
   A) 138625cm²
   B) 158510cm²
   C) 149607cm²
   D) 128612cm²
   
   Answer

   D) 128612cm²
   Explanation :
   L = √(60² + 32²) = 68
   Area = 3.14*r(h+l)
   Area of sheet = 3.14*32(60+68) = 12861.44 = 128612cm²
   
   
   
7. A hall is 80m long 65m wide. It has to be designed by tiles of 15m*10m. Find no of tiles required  ?
   A)41
   B)37
   C)35
   D)33
   
   Answer

   C)35
   Explanation :No of tiles = 80*65/15*10 = 5200/150 = 34.7 = 35
   
   
   
8. Find the cost of carpenting a room 12 m long and 7 m broad with a carpet 10m long and 6m wide and at the rate of Rs.150 per meter.
   A)Rs.320
   B)Rs.210
   C)Rs.200
   D)Rs.235
   
   Answer

   B)Rs.210
   Explanation :
   Area of the room = 12 × 7 => 84 m²
   Area of carpet = 10*6 = 60 m²
   Cost = (84/60)*150 = 210
   
   
   
9. The side of a cube is 13 cm, Find its surface area?
   A) 1014cm²
   B) 1040cm²
   C) 1010cm²
   D) 1024cm²
   
   Answer

   A) 1014cm²
   Explanation :Surface area = 6a² = 6*13*13 = 1014cm²
   
   
   
10. The length of box 12 Cm long, 6 Cm breadth and 4Cm height. Find the maximum length of scale in that box?
    A)11
    B)14
    C)12
    D)9
    
    Answer

    B)14
    Explanation :
    Diagonal = √l²+b²+h²
    = √12²+6²+4²
    = √196 => 14 Cm
    
    
    

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