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SSCCGL Quantitative Aptitude Solved Question Paper 2010

Multiple Choice Questions

11.

If $2 straight x plus 2 over straight x space equals space 1 comma$ then the value of $straight x cubed space plus space 1 over straight x cubed$ is

$13 over 8$
$negative 11 over 8$
$11 over 8$
$11 over 8$

234 Views

12.
The greatest number among $square root of 5 comma space space space cube root of 4 comma space space fifth root of 2 space comma space root index 7 of 3 space$ is

$cube root of 4$
$root index 7 of 3$
$square root of 5$
$square root of 5$

square root of 5

LCM of the orders of the surds = LCM of 2, 3, 5 and 7 = 210
Now,
$5 to the power of 1 half end exponent space equals space 5 to the power of 105 over 210 end exponent space equals space left parenthesis 5 to the power of 105 right parenthesis to the power of 1 over 210 end exponent 4 to the power of 1 third end exponent space equals space 4 to the power of 70 over 210 end exponent space equals space left parenthesis 4 to the power of 70 right parenthesis to the power of 1 over 210 end exponent 2 to the power of 1 fifth end exponent space equals space 2 to the power of 42 over 210 end exponent space equals space left parenthesis 2 to the power of 42 right parenthesis to the power of 1 over 210 end exponent 3 to the power of 1 over 7 end exponent space equals space 3 to the power of 30 over 210 end exponent space equals left parenthesis 3 to the power of 30 right parenthesis to the power of 1 over 210 end exponent$
∴ The largest number
$equals space 5 to the power of 1 half end exponent space equals space square root of 5$

269 Views

13.

cube root of left parenthesis 13.608 right parenthesis squared space minus space left parenthesis 13.392 right parenthesis squared end root

is equal to

0.6
0.06
1.8
1.8

126 Views

14.

open square brackets fraction numerator 1 over denominator 1 space cross times space 2 end fraction space plus space fraction numerator 1 over denominator 2 space cross times 3 end fraction space plus space fraction numerator 1 over denominator 3 space cross times space 4 end fraction space plus.... space plus space fraction numerator 1 over denominator 99 space cross times space 100 end fraction close square brackets

is equal to

$1 over 9900$
$99 over 100$
$100 over 99$
$100 over 99$

146 Views

15.

The sum of all the digits of the numbers from 1 to 100 is

5050
903
901
901

187 Views

16.

A shopkeeper sells sugar in such a way that the selling price of 950g of sugar is the same as the cost price of 1 kg of sugar. What is his gain percent?

$5 5 over 19$
$5 1 fifth$
5
5

137 Views

17.

A person bought a horse and a carriage for Rs. 20000. Later, he sold the horse at 20% profit and the carriage at 10% loss. Thus, he gained 2% in the whole transaction. The cost price of the horse was

Rs. 7200
Rs. 7500
Rs. 8000
Rs. 8000

188 Views

18.

A sells an article to B at 15% profit. B sells it to C at 10% loss. If C pays Rs. 517.50 for it then A purchased it at

Rs. 500
Rs. 750
Rs. 1000
Rs. 1000

125 Views

19.

An article is sold at a certain fixed price. By selling it at $2 over 3$ of that price, one loses 10%. The gain per cent on selling it at the original price is

20
$33 1 third$
35
35

155 Views

20.

A sells an article to B for Rs. 45000 losing 10% in the transaction. B sells it to C to a price which would have given a profit of 10% to A. By what percent does B gain?