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SSCCGL Quantitative Aptitude Solved Question Paper 2012

Multiple Choice Questions

In a division sum, the divisor is 4 times the quotient and twice the remainder. If a and b are respectively the divisor and the dividend, then

$fraction numerator 4 straight b minus straight a squared over denominator straight a end fraction equals 3$
$fraction numerator 4 straight b minus 2 straight a over denominator straight a squared end fraction space equals space 2$
$left parenthesis straight a plus 1 right parenthesis squared space equals space 4 straight b$
$left parenthesis straight a plus 1 right parenthesis squared space equals space 4 straight b$

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If 738A6A is divisible by 11, then the value of A is

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The product of two number is 1575 and their quotient is 9/7. Then the sum of the numbers is

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The value of $fraction numerator left parenthesis 8.3 right parenthesis to the power of 3.6 end exponent cross times space left parenthesis 9 right parenthesis to the power of 2.7 end exponent over denominator left parenthesis 81 right parenthesis to the power of 4.2 end exponent space cross times space left parenthesis 3 right parenthesis end fraction$ is

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square root of 6 plus square root of 6 plus 6 plus.... end root end root

is equal to

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The sum of the squares of two natural consecutive odd numbers is 394. The sum of the numbers is

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When (67⁶⁷ + 67) is divided by 68, the remainder is

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8.
A can do a piece of work in 24 days, B in 52 days and C in 64 days. All begin to do it together, but A leaves after 6 days and B leaves 6 days before the completion of the work. How many days did the work last?

720/29

20

18

18

720/29

Let the work be finished in x days.
∴ Work done by A in 6 days + Work done by B in (x - 6) days + Work done by C in x days = 1
Use formula:
$open parentheses fraction numerator No space of space days space straight a space person space does over denominator No space of space days space straight a space person space can space do end fraction plus fraction numerator begin display style No space of space days space straight a space person space does end style over denominator begin display style No space of space days space straight a space person space can space do end style end fraction plus fraction numerator begin display style No space of space days space straight a space person space does end style over denominator begin display style No space of space days space straight a space person space can space do end style end fraction space equals space 1 close parentheses$
$therefore space space 6 over 24 space plus space fraction numerator left parenthesis straight x minus 6 right parenthesis over denominator 52 end fraction space plus space straight x over 64 space equals space 1 rightwards double arrow space space space fraction numerator straight x minus 6 over denominator 52 end fraction plus straight x over 64 space equals space 1 minus 1 fourth space equals space 3 over 4 rightwards double arrow space space fraction numerator 16 left parenthesis straight x minus 6 right parenthesis space plus space 13 straight x over denominator 13 cross times 16 cross times 4 end fraction space equals space 3 over 4 rightwards double arrow space space 16 straight x space minus space 96 space plus space 13 straight x space equals space 13 space cross times space 16 space cross times 3 rightwards double arrow space space space 29 straight x space equals space 624 space plus space 96 space equals space 720 rightwards double arrow space space space space straight x space equals space 720 over 29$

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The square root of:
$fraction numerator left parenthesis 0.75 right parenthesis cubed over denominator 1 minus 0.75 end fraction space plus space left square bracket 0.75 space plus space left parenthesis 0.75 right parenthesis squared plus 1 right square bracket$ is

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10.

Given that $square root of 4096 space equals space 64 comma$ the value of $square root of 4096 space plus space square root of 40.96 end root space plus space square root of 0.004096 end root$ is