A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the ratio of their volumes

1.  2:1:3

2.  2.5 : 1 : 3

3.  1 :2 : 3

4.  1.5:2:3

5.  2 : 3 : 1

View Answer  
5
Correct Answer :

1 :2 : 3


Explanation :
No Explanation available for this question

The internal and external diameters of a hollow hemi-spherical vessel are 24 cm and 25 cm respectively. The cost of painting 1 cm2 of the surface is Rs. 0.05. Find the total cost of painting the vessel all over. (Take re= 22/7)

1.  Rs. 97.65

2.  Rs. 86.4

3.  Rs. 184

4.  Rs. 96.28

5.  Rs. 102.84

View Answer  
5
Correct Answer :

Rs. 96.28


Explanation :
No Explanation available for this question

A solid is in the form of a right circular cylinder with a hemisphere at one end and a cone at the other end. Their common diameter is 3.5 cm and the heights of conical and cylindrical portion are respectively 6 cm and 10 cm. Find the volume of the solid. (Use π = 3.14)

1.  117 cm2

2.  234 cm2

3.  58.5 cm2

4.  68 cm2

5.  None of these

View Answer  
5
Correct Answer :

None of these


Explanation :
No Explanation available for this question

In the adjoining figure, AOBCA represents a quadrant of a circle of radius 3.5 cm with centre 0. Calculate the area of the shaded portion. (Use r = 22/7)  

1.  35 cm2

2.  7.875 cm2

3.  9.625 cm2

4.  6.125 cm2

5.  None of these

View Answer  
5
Correct Answer :

6.125 cm2


Explanation :
No Explanation available for this question

Find the area of the shaded region if the radius of each of the circles is 1 cm.  

1.   2-π/3

2.  √3-π

3.  √3-π /2

4.  √3-π/4

5.  None of these

View Answer  
5
Correct Answer :

√3-π /2


Explanation :
No Explanation available for this question

A right elliptical cylinder full of petrol has its widest elliptical side 2.4 m and the shortest 1.6 m. Its height is 7 m. Find the time required to empty half the tank through a hose of diameter 4 cm if the rate of flow of petrol is 120 m/min

1.  60 min

2.  90 min

3.  75 min

4.  70 min

5.  80 min

View Answer  
5
Correct Answer :

70 min


Explanation :
No Explanation available for this question

Find the area of the trapezium ABCD.   5/2(13 + 2√3 ) 5√3(13 + 5√3)/2 13(13 + 2√3 )  (2/5) (13 +2√3) None of these

1.  5/2(13 + 2√3 )

2.  5√3(13 + 5√3)/2

3.  13(13 + 2√3 )

4.  (2/5) (13 +2√3)

5.  None of these

View Answer  
5
Correct Answer :

5√3(13 + 5√3)/2


Explanation :
No Explanation available for this question

PARS is the diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal Semicircles are drawn with PQ and QS as diameters as shown in the figure alongside. Find the ratio of the area of the shaded region to that of the unshaded region  

1.  1 : 2

2.  25:121

3.  5 :18

4.  5:13

5.  5 : 12

View Answer  
5
Correct Answer :

5:13


Explanation :
No Explanation available for this question

In the right angle triangle PQR, find  Rr.  

1.  13/60

2.  13/45

3.  60/13

4.  23/29

5.  None of these

View Answer  
5
Correct Answer :

60/13


Explanation :
No Explanation available for this question

The radius of a right circular cylinder is increased by 50%. Find the percentage increase in volume

1.  120%

2.  75%

3.  150%

4.  130%

5.  125%

View Answer  
5
Correct Answer :

125\%


Explanation :
No Explanation available for this question
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