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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

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

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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%

125%

Shortcut Method:
Required percentage increase

equals space open parentheses 50 plus 50 plus fraction numerator 50 space cross times space 50 over denominator 100 end fraction close parentheses percent sign equals space 125 percent sign

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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

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66.

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

0
667
1000
1000

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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

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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

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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