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SSCCGL Quantitative Aptitude Solved Question Paper 2013

Multiple Choice Questions

61.

The diameter of a circular wheel is 7 m. How many revolutions will it make in travelling 22 km?

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62.
The area of an equilateral triangle is $9 square root of 3 space straight m squared.$ The length (in m) of the median is

$2 square root of 3$
$3 square root of 3$
$3 square root of 2$
$3 square root of 2$

3 square root of 3

Area of equilateral triangle = $9 square root of 3 space straight m squared$
$rightwards double arrow space space space fraction numerator square root of 3 over denominator 4 end fraction straight a squared space equals space 9 square root of 3 space straight m squared rightwards double arrow space space space straight a space equals space 3 space cross times space 2 space equals space 6 space straight m$

Length of median = $fraction numerator square root of 3 over denominator 2 end fraction straight a$
$rightwards double arrow space space fraction numerator square root of 3 over denominator 2 end fraction cross times 6 space equals space 3 square root of 3 space straight m$

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63.

If each edge of a cube is increased by 50%, the percentage increase in surface area is

125%
50%
100%
100%

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64.

How many tiles, each 4 decimetre square, will be required to cover the floor of a room 8 m long and 6 m broad?

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65.

If the surface areas of two spheres are in the ratio 4 : 9, then the ratio of their volumes will be

4 : 9
16 : 27
8 : 27
8 : 27

170 Views

66.

If x = y = 333 and z = 334, then the values of x³ + y³ + z³ - 3xyz is

0
667
1000
1000

278 Views

67.

If $fraction numerator straight x minus straight a squared over denominator straight b plus straight c end fraction plus fraction numerator straight x minus straight b squared over denominator straight c plus straight a end fraction plus fraction numerator straight x minus straight c squared over denominator straight a plus straight b end fraction space equals space 4 left parenthesis straight a plus straight b plus straight c right parenthesis$ , then x is equal to

$left parenthesis straight a plus straight b plus straight c right parenthesis squared$
$straight a squared plus straight b squared plus straight c squared$
ab + bc + ca
ab + bc + ca

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68.

If (x - a) (x - b) = 1 and a - b + 5 = 0, then the value of $left parenthesis straight x minus straight a right parenthesis cubed space minus space fraction numerator 1 over denominator left parenthesis straight x minus straight a right parenthesis cubed end fraction$ is

-125
1
125
125

137 Views

69.

If $square root of straight x space equals space square root of 3 space minus space square root of 5$ , then the value of $straight x squared minus 16 straight x plus 6$ is

0
-2
2
2

152 Views

70.

The value of $square root of 2 cube root of 4 square root of 2 cube root of 4 square root of 2 cube root of 4......... end root end root end root end root end root end root$ is