Quants Questions : Mensuration Set 1

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 rectangular field is 3375 m² and its length and breadth are in the ratio 5:3. Find the breadth ?
   A)125m
   B)45m
   C)225m
   D)65m
   
   Answer

   B)45m
   Explanation :
   5x × 3x = 3375
   15x² = 3375
   x² = 3375/15 = 225
   x = 15
   3x = 3*15 = 45
   
   
   
2. The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of a square is 48cms and the length of the rectangle is 7cm. Find the breadth of the rectangle?
   A)5cm
   B)4cm
   C)9cm
   D)6cm
   
   Answer

   A)5cm
   Explanation :
   P of Square = 4a = 48
   A = 48/4 = 12cm
   P of rectangle = 48/2 = 24cm =2(l+b)
   2(7+b) = 24
   B = 12-7 = 5
   
   
   
3. The area of a square is 7sqm less than half of the area of a rectangle. The length of the rectangle is 14m and breadth is 6m less than its length. What is the perimeter of the square ?
   A)42cm
   B)32cm
   C)22cm
   D)28cm
   
   Answer

   D)28cm
   Explanation :
   L = 14, b = 8
   L*b = 14*8 = 112
   Area of square = (112/2) – 7 = 56-7 = 49
   A = 7
   Perimeter = 4a = 4*7 = 28cm
   
   
   
4. A cow is tethered to a peg with 7m long rope at the corner of a 35m long and 20m wide rectangular grass field, What area of the field will the cow graze ?
   A) 38.47m²
   B) 35.64m²
   C) 43.65m²
   D) 40m²
   
   Answer

   A) 38.47m²
   Explanation :A = ¼(3.14r²) = (3.14*7*7)/4 = 38.47m²
   
   
   
5. Inside a square plot a circular garden is developed which exactly fits in the square plot and the diameter of the garden is equal to the side of the square plot which is 14m. What is the area of space left out in the square plot after developing the garden ?
   A) 32m²
   B) 40m²
   C) 42m²
   D) 35m²
   
   Answer

   C)42m²
   Explanation :
   area of space left  = 14*14 – (3.14*7*7)
   = 196 – 153.86
   = 42.14 = 42m²
   
   
   
6. The length of a rectangular floor is twice its breadth. If Rs.624 is required to paint the floor at the rate of Rs.8 psm. What is the breadth of the floor ?
   A)6.24m
   B)5.10m
   C)7.8m
   D)4.6m
   
   Answer

   A)6.24m
   Explanation :
   Area = 624/8 = 78 m²
   2x × x = 78
   2x² =78
   x² =78/2 = 39
   x= 6.24
   
   
   
7. 5m radius and 12m height solid metallic cylinder is melted and recast into small spherical balls of radius 5m. Find the no of cubes that can be made ?
   A)3
   B)2
   C)1
   D)5
   
   Answer

   B)2
   Explanation :
   Volume of cylinder = volume of cube
   (3.14*5*5*12) = N(4/3*3.14*5*5*5)
   N = (12*3)/(4*5) = 1.8 = 2
   
   
   
8. 2 cubes have their volume in the ratio 1:8, find the ratio of their surface area ?
   A)2:5
   B)4:1
   C)1:4
   D)3:7
   
   Answer

   C)1:4
   Explanation :
   a³ :b³  = 1:8
   a:b = 1:2
   Surface area = 6a² : 6b²  = 1:4
   
   
   
9. A square field has an area  of 7396 sq m,find the cost of fencing around it at Rs.22 per meter ?
   A)6754
   B)7568
   C)8765
   D)7943
   
   Answer

   B)7568
   Explanation :
   a²  = 7396
   a = 86
   length of wire = 4*86 = 344
   cost = 344*22 = Rs.7568
   
   
   
10. How many marbles of 10cm length and 7cm width are required to pave the floor of room 7m length and 4m breadth ?
    A)4000
    B)5100
    C)2800
    D)3200
    
    Answer

    A)4000
    Explanation :
    Area of floor = 700*400 = 280000
    Area of marble = 10*7 = 70
    N = 280000/70 = 4000