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SSCCGL Quantitative Aptitude Solved Question Paper 2016

Multiple Choice Questions

51.

The height of an equilateral triangle is 18 cm. Its area is

$36 square root of 3 space square space metre$ .
$108 square root of 3 space square space cm.$
108 square cm.
108 square cm.

1027 Views

52.
If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm² then its volume is

1760 cm³

8800 cm³

2002 cm³

2002 cm³

2002 cm³

According to the question,
r + h = 20 cm.
Total surface area of cylinder
$equals space 2 πrh space plus space 2 πr squared equals space 2 πr left parenthesis straight h plus straight r right parenthesis$
$therefore space space space 2 πr space space cross times space 20 space equals space 880 rightwards double arrow space space space space πr space equals space 880 over 40 space equals space 22 rightwards double arrow space space space 22 over 7 space cross times space straight r space equals space 22$
$rightwards double arrow space space space straight r space equals space fraction numerator 22 cross times 7 over denominator 22 end fraction space equals space 7 space cm.$
$therefore$ r + h = 20
$rightwards double arrow space space straight h space equals space 20 space minus space 7 space equals space 13 space cm$
$therefore$ Volume of cylinder = $πr squared straight h$
$equals space 22 over 7 cross times 7 cross times 7 cross times 13 equals space 2002 space cm cubed$

430 Views

53.

A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is

$3 square root of 3 space colon space 4$
$4 space colon space 3 square root of 3$
$3 space colon space 4 square root of 3$
$3 space colon space 4 square root of 3$

2819 Views

54.

The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side (in cm) is

250 Views

55.

The four walls and ceiling of a room of length 25 m, breadth 12 m and height 10 m are to be painted. Painter A can paint 200 m2 in 5 days, Painter B can paint 250 m2 in 2 days. If A and B work together, they will finish the job in

6 days
$6 10 over 33 days$
$7 10 over 33 days$
$7 10 over 33 days$

659 Views

56.

The base of a right prism is a trapezium whose the length of parallel sides are 25 cm and 11 cm and the perpendicular distance between the parallel sides in 16 cm. If the height of the prism is 10 cm, then the volume of the prism is

1440 cu.cm
1540 cu.cm
2880 cu.cm
2880 cu.cm

589 Views

57.

The external and the internal radii of a hollow right circular cylinder of height 15 cm are 6.75 cm and 5.25 cm respectively. If it is melted to form a solid cylinder of height half of the original cylinder, then the radius of the solid cylinder is

6 cm
6.5 cm
7 cm
7 cm

708 Views

58.

The length and breadth of a rectangular piece of a land are in a ratio 5:3. The owner spent Rs. 6000 for surrounding it from all sides at Rs.7.50 per metre. The difference between its length and breadth is

50 metre
100 metre
150 metre
150 metre

575 Views

59.

The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (Take π=22/7)

14 : 11
28 : 11
7 : 22
7 : 22

212 Views

60.

A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of