Quants Questions : Mensuration Set 3

Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample From Mensuration that is important for all the competitive exams. We have included Some questions that are repeatedly asked in exams !!

1. The area of a square field is 4050 m²the length of its diagonal is
   A)76m
   B)90m
   C)84m
   D)80m
   E)None of these
   
   Answer

   B)90m
   Explanation :
   1/2 d² = 4050
   d² = 8100
   d = 90 m
   
   
   
2. The Surface area of cube is 216 m². Find it’s diagonal
   A)18.25m
   B)10.38m
   C)13.56m
   D)20.67m
   E)None of these
   
   Answer

   B)10.38m
   Explanation :
   6a² = 216
   a² = 216/6 = 36
   a= 6
   Diagonal = a√3 = 6*1.73 = 10.38m
   
   
   
3. The length of a rope by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is
   A)20m
   B)17m
   C)27m
   D)30m
   E)None of these
   
   Answer

   D)30m
   Explanation :
   22/7×r² =2826
   r² =(2826×7/22) = 899.18 = 900
   r = 30 m
   
   
   
4. The number of rounds that a wheel of diameter14m will make in going 2 km is 
   A)62 rounds
   B)50 rounds
   C)45 rounds
   D) 56 rounds
   E)None of these
   
   Answer

   C)45 rounds
   Explanation :N = 2000/(14*22/7) = 2000/44 = 45.45 = 45 rounds
   
   
   
5. The ratio of length to breadth of a rectangle is 7:6. The perimeter of the plot is 260m. Find the area of the plot ?
   A)4800sq.m
   B)5600sq.m
   C)4200sq.m
   D)2600sq.m
   E)None of these
   
   Answer

   C)4200sq.m
   Explanation :
   2(7x+6x) = 260
   26x = 260
   X = 260/26 = 10
   Area = 70*60 = 4200
   
   
   
6. In a parallelogram the length of adjacent sides are 13m and 11m. If the length of one diagonal is 18m, find the length of the other diagonal ?
   A)9m
   B)16m
   C)12m
   D)19m
   E)None of these
   
   Answer

   B)16m
   Explanation :
   d1²+d2² = 2(a²+b²)
   324+d2² = 2(169+121) = 580
   d2² =  580 – 324 = 256
   d  = 16m
   
   
   
7. The circumference of the 2 circle is 212cm and 412cm. What is the difference between the area of the 2 circles ?
   A)10048cm²
   B) 10480cm²
   C) 10070cm²
   D) 10140cm²
   E)None of these
   
   Answer

   A)10048cm²
   Explanation :
   2*3.14*r1 = 212
   R1 = 212/6.28 = 33.75 = 34cm
   2*3.14*r2 = 412
   R1 = 412/6.28 = 65.60= 66cm
   Diff = 3.14(66²-34²)
   = 3.14(4356-1156) = 3.14*3200
   = 10048
   
   
   
8. If the length of the rectangular field is increased by 10% and the breadth is reduced by 10%, now the area of rectangle will be 217 cm² .Find the area of the original rectangle ?
   A)210 cm²
   B)219 cm²
   C) 215 cm²
   D) 221 cm²
   E)None of these
   
   Answer

   B)219 cm²
   Explanation :
   % change = 10 – 10 – 10*10/100 =  -1%
   99x/100 = 217
   X = 217*100/99 = 219.19 = 219
   
   
   
9. The area of right angle triangle is 100sq cm. The ratio of base to its height is 4:5.Find the length of the hypotenuse ?
   A)20cm
   B)22cm
   C)28cm
   D)30cm
   E)None of these
   
   Answer

   A)20cm
   Explanation :
   Area = ½(4x*5x)
   100 = 20x^2/2
   X^2 = 100/10 =10
   x = 3.16
   4x:5x = 12.64:15.8
   Hypotenuse = √12.64²+15.8²
   = √409.40
   = 20.23 = 20
   
   
   
10. How many bricks, each measuring 20 cm x 8 cm x 5 cm, will be needed to build a wall of 10 m x 7 m x 20cm?
    A)16000
    B)11000
    C)12000
    D)17500
    E)None of these
    
    Answer

    D)17500
    Explanation :
    Number of bricks =Volume of the wall/Volume of  brick
    = 1000 x 700 x 20/20 x 8x 5
    = 17500
    
    
    

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