Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q1. 

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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Q2. 

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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Q3.  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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Q4. 

1)  72 cm2  2)  216 cm2 
3)  432 cm2  4)  108 cm2 
5)  None of these 
Answer : 216 cm2
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Q5. 

1)  9:64  2)  27:64 
3)  25:64  4)  16:25 
5)  None of these 
Answer : 25:64
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Q6. 

1)  5 cm  2)  8 cm 
3)  10 cm  4)  12 cm 
5)  None of these 
Answer : 10 cm
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Q7. 

1)  36cm  2)  40cm 
3)  60cm  4)  48cm 
5)  None of these 
Answer : 60cm
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Q8. 

1)  72 cm2  2)  216 cm2 
3)  432 cm2  4)  108 cm2 
5)  None of these 
Answer : 216 cm2
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Q9. 

1)  259200 cm3  2)  86400 cm3 
3)  720 cm3  4)  D.I 
5)  None of these 
Answer : 720 cm3
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Q10. 

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