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SSCCGL Quantitative Aptitude Solved Question Paper 2011

Multiple Choice Questions

121.

Three numbers are in the ratio 3 : 4 : 5. The sum of the largest and the smallest equals the sum of the second and 52. The smallest number is

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122.

If the radius of a circle is increased by 50%, its area is increased by

125%
100%
75%
50%

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123.

The value of $fraction numerator left parenthesis 3.2 right parenthesis cubed minus 0.008 over denominator left parenthesis 3.2 right parenthesis squared space plus space 0.64 space plus space 0.04 end fraction$ is

0
2.994
3.208
3

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124.

If a^1/3 = 11, then the value of a² - 331 a is

1331331
1331000
1334331
1330030

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125.

A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately with A beginning, the work would be completed in

$10 2 over 3 space days$
$10 1 half space days$
$10 1 fourth space days$
$10 1 third space days$

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126.

A and B together can do a work in 10 days. B and C together can do the same work in 6 days. A and C together can do the work in 12 days. Then A, B and C together can do the work in

28 days
14 days
$5 5 over 7 space days$
$8 2 over 7 space days$

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127.

A does half as much work as B in three-fourth of the time. If together they take 18 days to complete a work, how much time shall B take to do it alone?

30 days
35 days
40 days
45 days

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128.

If a wire is bent into the shape of a square, then the area of the square so formed 81 cm². When the wire is rebent into semicircular shape, then the area (in cm²) of the semi-circle will be $open parentheses Use space straight pi space equals space 22 over 7 close parentheses$

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129.
Marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it, if the water rises by 5.6 cm.

50

150

250

350

150

Let x be no of spherical marbles put into the cylindrical beaker.
Now,
Volume of one marble = $4 over 3 πr cubed$
$equals space 4 over 3 straight pi open parentheses fraction numerator 1.4 over denominator 2 end fraction close parentheses cubed$
Volume of x marbles = $straight x space cross times space open parentheses fraction numerator 1.4 over denominator 2 end fraction close parentheses cubed$
Volume of water increased in the cylindrical beaker = $straight pi space cross times space open parentheses 7 over 2 close parentheses squared space cross times space 5.6$

According to the question,
Volume of x marbles = Volume of water increased in the cylindrical beaker
$rightwards double arrow space space 4 over 3 space cross times space 0.7 space cross times space 0.7 space cross times space straight x space equals space 3.5 space cross times space 3.5 space cross times space 5.6 rightwards double arrow space space space space space space straight x space equals space fraction numerator 3.5 space cross times space 3.5 space cross times space 5.6 space cross times space 3 over denominator 4 space cross times space 0.7 space cross times space 0.7 space cross times 0.7 end fraction space equals space 150$

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130.

Water is flowing at the rate of 3 km/h through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time will the cistern be filled?