Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

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

330

305

355

355

330

square root of 7 plus 4 square root of 3 end root space equals space square root of 7 plus 2 cross times 2 cross times square root of 3 end root space equals space square root of 4 plus 3 plus 2 cross times 2 cross times square root of 3 end root space space space space space space space space space space space space space space space space space space space space space space equals space square root of left parenthesis 2 plus square root of 3 right parenthesis squared end root space equals space space 2 space plus space square root of 3 space space space space

square root of 4 plus 2 square root of 3 end root space equals space square root of 4 plus 2 cross times square root of 3 space cross times 1 end root space equals space square root of 3 plus 1 plus 2 cross times square root of 3 cross times 1 end root

equals space square root of left parenthesis square root of 3 plus 1 right parenthesis squared end root space equals space square root of 3 space plus 1

therefore space space space space square root of 7 plus 4 square root of 3 end root space minus space square root of 4 plus 2 square root of 3 end root space equals space 2 space plus space square root of 3 space minus space square root of 3 space minus space 1 space equals space 1

Now,

1 squared space plus space 2 squared space plus space...... plus 10 squared

equals space fraction numerator 10 space left parenthesis 10 plus 1 right parenthesis thin space left parenthesis 20 plus 1 right parenthesis over denominator 6 end fraction equals space fraction numerator 10 space cross times space 11 space cross times space 21 over denominator 6 end fraction space equals space 385

1 squared plus space 2 squared space plus space. space... plus 5 squared equals space fraction numerator 5 left parenthesis 5 plus 1 right parenthesis thin space left parenthesis 10 plus 1 right parenthesis over denominator 6 end fraction equals space fraction numerator 5 space cross times space 6 space cross times space 11 over denominator 6 end fraction space equals space 55

open square brackets because space space 1 squared space plus space 2 squared space plus space 3 squared space plus space.... plus straight n squared space equals space fraction numerator straight n left parenthesis straight n plus 1 right parenthesis thin space left parenthesis 2 straight n plus 1 right parenthesis over denominator 6 end fraction close square brackets therefore space space 6 squared plus 7 squared plus 8 squared plus 9 squared plus 10 squared space equals space 385 minus space 55 space equals space 330

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

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?