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SSCCGL Quantitative Aptitude Solved Question Paper 2011

Multiple Choice Questions

If a³b = abc = 180, a, b, c are positive integers, then the value of c is

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Insert the missing number
3, 18, 12, 72, 66, 396 ?

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2 cube root of 40 space minus space 4 cube root of 320 space plus space 3 cube root of 625 space minus space 3 cube root of 5

is equal to

$negative 2 cube root of 340$
0
$cube root of 340$
$cube root of 340$

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The sum of 11² + 12² + .......+21² = ?

2926
3017
3215
3215

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In four consecutive prime numbers that are in ascending order, the product of the first three is 385 and that of the last three is 1001. The largest given prime number is

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H.C.F. of $2 over 3 comma space space 4 over 5 space and space space 6 over 7$ is

$48 over 105$
$2 over 105$
$1 over 105$
$1 over 105$

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There are five bells which start ringing together at intervals of 3, 6, 9, 12 and 15 seconds respectively. In 36 minutes, how many times will the bells ring simultaneously?

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n is a whole number which when divided by 4 gives the remainder 3. The remainder when 2n is divided by 4 is

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9.
A wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be

12.30 at night, after 130 days

12 noon, after 135 days

1.30 at night, after 130 days

1.30 at night, after 130 days

12 noon, after 135 days

A wall clock gains 2 min in every 12 hours, so it would gain 6 min in 36 hours.
and table clock losses two minutes in every 36 hours.
So, in every 36 hours they difference between them is 8 min.
They will be at the same time when the difference between them is 12 hours.
Hence, 8 min = 36 hours
So, 1 min difference = $36 over 8$
Or 12 x 60 min difference in $open parentheses 36 over 8 cross times 12 space cross times space 60 space equals space 3240 space hours close parentheses$
or 3240 hours is 135 days.
Hence both clocks will show same time at 12 noon after 135 days.

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10.

A and B started a business by investing ₹ 3,50,000 and ₹ 1,40,000 respectively. A gets 20% of the yearly profit for managing the business. Thereafter the profit is divided in the ratio of the capital. If A receives totally ₹ 38,000 more than B at the end of a year, then the profit is