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SSCCGL Quantitative Aptitude Solved Question Paper 2015

Multiple Choice Questions

91.

The value of :
$4 minus fraction numerator 1 over denominator 1 plus begin display style fraction numerator 1 over denominator 3 plus begin display style fraction numerator 1 over denominator begin display style fraction numerator 8 plus 1 over denominator 4 end fraction end style end fraction end style end fraction end style end fraction$ is

$1 over 8$
$1 over 64$
$1 over 16$
$1 over 16$

327 Views

92.

A manufacturer fixes his selling price at 33% over the cost of production. If cost of production goes up by 12% and manufacturer raises his selling price by 10%, his percentage profit is

$28 3 over 8 percent sign$
$30 5 over 8 percent sign$
$36 5 over 9 percent sign$
$36 5 over 9 percent sign$

505 Views

93.

There is a number consisting of two digits, the digit in the units' place is twice that in the tens' place and if 2 be subtracted from the sum of the digits, the difference is equal to $1 over 6$ th of the number. The number is

301 Views

94.

AB and CD are two parallel chords of a circle of lengths 10 cm and 4 cm respectively. If the chords are on the same side of the centre and the distance between them is 3 cm, then the diameter of the circle is

$2 square root of 21 space cm$
$square root of 21 space cm$
$2 square root of 29 space cm$
$2 square root of 29 space cm$

948 Views

95.

The numerical values of the volume and the area of the lateral surface of a right circular cone are equal. If the height of the cone be h and radius be r, the value of $1 over straight h squared space plus space 1 over straight r squared$ is

$1 third$
$1 over 9$
$9 over 1$
$9 over 1$

239 Views

96.

fraction numerator 6 squared plus 7 squared plus 8 squared plus 9 squared plus 10 squared over denominator square root of 7 plus 4 square root of 3 end root minus space square root of 4 plus 2 square root of 3 end root end fraction

is equal to

173 Views

97.

If tan A = n tan B and sin A = m sin B, then the value of cos²A is

$fraction numerator straight m squared minus 1 over denominator straight n squared plus 1 end fraction$
$fraction numerator straight m squared plus 1 over denominator straight n squared minus 1 end fraction$
$fraction numerator straight m squared plus 1 over denominator straight n squared plus 1 end fraction$
$fraction numerator straight m squared plus 1 over denominator straight n squared plus 1 end fraction$

239 Views

98.
300 grams of sugar solution has 40% of sugar in it. How much sugar should be added to make it 50% in the solution?

40 gram

10 gram

60 gram

60 gram

60 gram

In 300 gm of solution,
Percentage of sugar = 40%
∴ Sugar = $fraction numerator 300 space cross times space 40 over denominator 100 end fraction space equals space 120 space gm.$
Let x gm of sugar be added.
Now, according to the question
$fraction numerator 120 plus straight x over denominator 300 plus straight x end fraction space equals space 1 half rightwards double arrow space space space 240 space plus space 2 straight x space equals space 300 space plus space straight x rightwards double arrow space space 2 straight x space minus space straight x space space equals 300 space minus space 240 rightwards double arrow space space straight x space equals space 60 space gm.$

2156 Views

99.

A and B can do a piece of work in 30 and 36 days respectively. They began the work together but A left after some days and B finished the remaining work in 25 days. After how many days did A leave?

10 days
6 days
5 days
5 days

148 Views

100.

A boat moves downstream at the rate of 1 km in $7 1 half space$ minutes and upstream at the rate of 5 km an hour. what is the speed of the boat in the still water?