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SSCCGL Quantitative Aptitude Solved Question Paper 2011

Multiple Choice Questions

51.
The radius of a cylinder is 10 cm and height is 4 cm. The number of centimetres that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is

5

4

25

25

Let radius be increased by x cm.
∴ Volume of cylinder = $straight pi left parenthesis 10 plus straight x right parenthesis squared space cross times space 4$ ...(i)
Again, let height be increased by x cm.
∴ Volume of cylinder $equals space straight pi space cross times space 10 squared space cross times space left parenthesis 4 plus straight x right parenthesis$ ...(ii)
According to the question
Equation (i) = Equation (ii)
$rightwards double arrow space space space straight pi left parenthesis 10 plus straight x right parenthesis squared space cross times space 4 space equals space straight pi space cross times space 10 squared space cross times space left parenthesis 4 plus straight x right parenthesis rightwards double arrow space space space 100 space plus space 20 straight x space plus space straight x squared space equals space 100 plus 25 straight x rightwards double arrow space space space straight x squared space minus space 5 straight x space equals space 0 rightwards double arrow space space straight x left parenthesis straight x minus 5 right parenthesis space equals space 0 rightwards double arrow space space space straight x space equals space 5 space cm$

270 Views

52.

If a solid cone of volume $27 straight pi space cm cubed$ is kept inside a hollow cylinder whose radius and height are that of the cone, then the volume of water needed to fill the empty space is

$3 straight pi space cm cubed$
$18 straight pi space cm cubed$
$54 straight pi space cm cubed$
$54 straight pi space cm cubed$

300 Views

53.

In a triangle ABC, AB + BC = 12 Cm, BC + CA = 14 cm and CA + AB = 18 cm. Find the radius of the circle (in cm) which has the same perimeter as the triangle.

$5 over 2$
$7 over 2$
$9 over 2$
$9 over 2$

148 Views

54.

A playground is in the shape of a rectangle. A sum of ₹ 1,000 was spent to make the ground usable at the rate of 25 paise per sq. m. The breadth of the ground is 50 m. If the length of the ground is increased by 20 m, what will be the expenditure in rupees at the same rate per sq. m.?

1,250
1,000
1,500
1,500

146 Views

55.

Two cm of rain has fallen on a square km of land. Assuming that 50% of the raindrops could have been collected and contained in a pool having a 100 m x 10 m base, by what level would the water level in the pool have increased?

1 km
10 m
10 cm
10 cm

230 Views

56.

A cylindrical can whose base is horizontal and is of internal radius 3.5 cm contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the can exactly. The depth of water in the can before the sphere was put is

$35 over 3 space cm$
$17 over 3 space cm$
$7 over 3 space cm$
$7 over 3 space cm$

725 Views

57.

The lengths of three medians of a triangle are 9cm, 12cm and 15 cm. The area (in sq. cm) of the triangle is

527 Views

58.

The height of a circular cylinder is increased six times and the base area is decreased to one-ninth of its value. The factor by which the lateral surface of the cylinder increases is

2
$1 half$
$2 over 3$
$2 over 3$

439 Views

59.

The volume of a right circular cone is 1232 cm3 and its vertical height is 24 cm. Its curved surface area is

154 cm²
550 cm²
604 cm²
604 cm²

211 Views

60.

A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is $open square brackets Take space straight pi space equals space 22 over 7 close square brackets$