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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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5. $square root of 6 plus square root of 6 plus 6 plus.... end root end root$ is equal to

2

5

4

4

Let $straight x equals space square root of 6 plus square root of 6 plus square root of 6 plus.... end root end root end root$
On squaring both sides,
$straight x squared space equals space 6 plus square root of 6 plus square root of 6 plus square root of 6 plus..... end root end root end root$
$rightwards double arrow space space space straight x squared space equals space 6 space plus space straight x rightwards double arrow space space straight x squared minus straight x minus 6 space equals space 0 rightwards double arrow space space straight x squared minus 3 straight x plus 2 straight x minus 6 space equals space 0 rightwards double arrow space space straight x left parenthesis straight x minus 3 right parenthesis space plus space 2 left parenthesis straight x minus 3 right parenthesis space equals space 0 rightwards double arrow space space left parenthesis straight x space plus space 2 right parenthesis thin space left parenthesis straight x minus 3 right parenthesis space equals space 0$

$rightwards double arrow space space straight x space equals space 3 space space and space space straight x not equal to negative 2 space because space numbers space are space positive.$
Shortcut Method:
Co-Prime factors of 6 are (3, 2) as number is positive, therefore, answer would be highest co-prime factor i.e. 3.

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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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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

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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