# Quantitative Aptitude: Mensuration Questions Set 13

1. Four goats are tehtered at 4 corners of a square field of side 60 metres so that they just cannot reach one another.Find the area left ungrazed by the goats?
650 m
680 m
771 m
750 m
None of these
Option C
Lenght=60/2=30 m
Total area =22*30*30/7
Ungrazed area=Area of square field – area covreed by 4 goats
=3600 – 2829

2. If the sides of a traingle measures 64 cm , 72 cm and 20 cm,what is the measure of its radius?
6 cm
5 cm
9 cm
8 cm
Noe of these
Option D
Radius=64 *20 /64 + 72 +20 = 1280 / 156 = 8.20 cm

3. the width of a rectangle is 10 meters and its area is 120 square metre.If length of the rectagle is increased by 6 cm,what is the new perimeter of the rectangle?
42 cm
48 cm
45 cm
50 cm
56 cm
Option E
lenght=120/10 = 12
then,12+6=18 cm
P=2(l+b) = 2(10+18)=56 cm

4. What will be the cost of painiting a room whose area is 300 square metre ,if the rate of painiting per square metre is Rs 24?
Rs 1250
Rs 1540
Rs 1548
Cannot be determined
Nnone of these
Option D
Room shape not given and its parameter not given

5. If the length of rectangle is increased by 20 percent,by what percent should width be reduced to maintain same area?
10.25
12.50
13.35
16.66
None of these
Option D
Let l=100 and b=100
New l=120
Therefore,100*100=120*b
b=250/3
Percentage decrease =100-250/3

6. A rectangular gardenn is 30 m long and 20 m broad.It has 6 m wide pavements all around it both inside and outside.Find the total area of pavements?
1600 cm
1425 cm
1500 cm
1200 cm
None of these
Option D
Area=42*32 – 18*8
=1344 -144

7. The radius of a wheel of a truck is 70 cm.How many revolutions per minute the wheel will make in order to make speed of 66 km/hr?
260
255
250
275
280
Option C
Distance in 1 minute =66*(100/60)=1100 m
Circumference =2 *22/7 * 0.70 = 4.4 m
No of revolutions=(1100/4.40)

8. What is the volume of a cyclinder whose curved surface area is 700 cm^2 and height is 14 cm?
2816
2754
2984
2800
None of these
Option A
2*pie*r*h=700
2*3.14*r*14=700
r=7.96 = 8
Then,Volume=pie*r^2 * h

9. A hall has floor size of 15*6 sq cm.What is the height of the hall if the sum of the areas of base and roof is equal to sum of areas of four walls?
3.25
3.54
4.29
5.02
None of these
Option C
2lb=2h(l+b)
h=l*b / l+b

10. A goat is thetered to a cow with 16 cm long rope at corner of 31 cm long and 27 cm wide recatngular grass field.What area of field wll goat graze?
200.0
201.1
205.25
206.50
None of these
Option B
Area=(22*16*16/7)/4

## One Thought to “Quantitative Aptitude: Mensuration Questions Set 13”

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