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

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.

Q3. |
|
1) | 2 : 3 | 2) | 1 : 3 |
3) | 1 : 2 | 4) | 1 : 4 |
5) | None of these |
Answer : 1 : 2

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 cm3.
The volume of each of the smaller cubes = 13 = 1 cm3.
Therefore, one would get 125 smaller cubes.
The surface area of the larger cube = 6a2 = 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 cm3 cubes = 125 6 = 750.
Therefore, the required ratio = 150 : 750 = 1 : 5

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 = a3
Diameter of the sphere = a


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 :


Q7. |
|
1) | 72 cm2 | 2) | 216 cm2 |
3) | 432 cm2 | 4) | 108 cm2 |
5) | None of these |
Answer : 216 cm2

Q8. |
|
1) | 9:64 | 2) | 27:64 |
3) | 25:64 | 4) | 16:25 |
5) | None of these |
Answer : 25:64

Q9. |
|
1) | 5 cm | 2) | 8 cm |
3) | 10 cm | 4) | 12 cm |
5) | None of these |
Answer : 10 cm

Q10. |
|
1) | 36cm | 2) | 40cm |
3) | 60cm | 4) | 48cm |
5) | None of these |
Answer : 60cm
