Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q1.  A rectangular container, whose base is square of side 15cm,stands on a horizontal table and holds water up to 3cm from the top. When a cube is placed in the water and is completely submerged, the water rises to the top and 54cm^3 of water overflows. What is its surface area? 
1)  448cm2  2)  464cm2 
3)  486cm2  4)  524cm2 
5)  None of these 
Answer : 486cm2
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Q2. 

1)  36 pie m3  2)  48 pie m3 
3)  50 pie m3  4)  54 pie m3 
5)  None of these 
Answer : 36 pie m3
Explanation :
Explanation :
Explanations:
Volume of the oil = 22/7x 62 x 14 = 504 x 22/7 m3.
Base radius of all the containers = 7 m
Volume of the spherical can = (4/3) x (22/7)x 63 m3.
Volume of the conical can = (1/3) x (22/7) x 62 x 6 m3 = 72 x (22/7)
Balance oil = Volume of the cylindrical can
= 504 (22/7)  288 (22/7) 72(22/7) = 144(22/7) m3.
Oil dropped = 1/4 th of the cylindrical can
= 1/4x 144 = 36 (22/7) m3.
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Q3. 

1)  2 : 3  2)  1 : 3 
3)  1 : 2  4)  1 : 4 
5)  None of these 
Answer : 1 : 2
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Q4. 

1)  1 : 6  2)  1 : 5 
3)  1 : 25  4)  1 : 125 
5)  None of these 
Answer : 1 : 5
Explanation :
Explanation :
The volume of the larger cube = 53 = 125 cm^{3}.
The volume of each of the smaller cubes = 13 = 1 cm^{3}.
Therefore, one would get 125 smaller cubes.
The surface area of the larger cube = 6a^{2} = 6(52) = 6 25 = 150
The surface area of each of the smaller cubes = 6 (12) = 6.
Therefore, surface area of all of the 125, 1 cm^{3} cubes = 125 6 = 750.
Therefore, the required ratio = 150 : 750 = 1 : 5
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Q5. 

1)  3 : 4  2)  21 : 11 
3)  11 : 25  4)  4 : 3 
5)  None of these 
Answer : 21 : 11
Explanation :
Explanation :
Let the side of the cube be ‘a’
Volume of the cube = a^{3}
Diameter of the sphere = a
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Q6.  The radius of a right circular cylinder is decreased by 5% but its height is increased by 10%. What is the percentage change in its volume ? 
1)  0.25%  2)  0.625% 
3)  0.725%  4)  1.25% 
5)  None of these 
Answer : 0.725%
Explanation :
Explanation :
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Q7. 

1)  72 cm2  2)  216 cm2 
3)  432 cm2  4)  108 cm2 
5)  None of these 
Answer : 216 cm2
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Q8. 

1)  9:64  2)  27:64 
3)  25:64  4)  16:25 
5)  None of these 
Answer : 25:64
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Q9. 

1)  5 cm  2)  8 cm 
3)  10 cm  4)  12 cm 
5)  None of these 
Answer : 10 cm
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Q10. 

1)  36cm  2)  40cm 
3)  60cm  4)  48cm 
5)  None of these 
Answer : 60cm
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