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SSCCGL Quantitative Aptitude Solved Question Paper 2010

Multiple Choice Questions

111.
If a and b be positive integers such that a² - b² = 19, then the value of a is

19

20

9

10

a² - b² = 19
(a - b) (a + b) = 1 x 19
∴ a - b = 1 ...(i)
a + b = 19 ...(ii)
Adding (i) and (ii), we get,
2a = 20
a = 10

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112.

0.001 is equal to

$1 over 1000$
$1 over 999$
$1 over 99$
$1 over 9$

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113.

$fraction numerator 4.41 space cross times space 0.16 over denominator 2.1 space cross times space 1.6 space cross times space 0.21 end fraction$ is simplified to

1
0.1
0.01
10

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114.

If a and b are two odd positive integers, by which of the following integers is (a⁴ - b⁴) always divisible?

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115.

If a = 11 and b = 9, then the value of $open parentheses fraction numerator straight a squared plus straight b squared plus ab over denominator straight a cubed minus straight b cubed end fraction close parentheses$ is

$1 half$
2
$1 over 20$
20

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116.

A drum of kerosene is $3 over 4$ full. When 30 L of kerosene is drawn from it, it remains $7 over 12$ full. The capacity of the drum is

120 L
135 L
150 L
180 L

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117.

By what least number should 675 be multiplied so as to obtain a perfect cube number?

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118.

$open parentheses 1 1 half space plus space 11 1 half space plus space 111 1 half space plus space 1111 1 half close parentheses$ is equal to

1236
$1234 1 half$
618
617

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119.

If $open parentheses 3 over 5 close parentheses cubed space open parentheses 3 over 5 close parentheses to the power of negative 6 end exponent space equals space open parentheses 3 over 5 close parentheses to the power of 2 straight x minus 1 end exponent comma$ then x is equal to