SSC CGL Tier-2 25-October-2015 Maths

Quadnlateral ABCD is circumscribed about a
circle. If the lengths of AB, BC, CD are 7 cm, 85
cm and 9.2 cm respectively, then the length
{in cm) of DA i

A right prism has a triangular base whose sides are 13 cm, 20 cm and 21 cm. If the altitude of the prism is 9 cm, then its volume is

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

The area of isosceles trapezium is 176 $$cm^{2}$$ and the height h is$$ \frac{2}{11}$$ th of the sum of its parallel sides if the ratio of the length of the parallel sides is 4:7, then the length of a diagonal {in cm) is

A and B are centres of twocircles of radii 11 cm and 6 cm, respectively. PQ is a direct common tangent to the circles. If $$\bar {AB}$$ = 13 cm, then length of  $$\bar {PQ}$$ will be

A, B and C can do work separately in 16, 32 and48 days respectively. They started the work together but B leaving off & days and C six daysbefore the completion of the work. In what time is the work finished?

AD is perpendicular to the internal bisector of$$ \angle ABC $$ of $$ \triangle$$ ABC. DE is drawn through D and parallel to BC to meet AC at E. If the length of AC is 12 cm, then the length of AE (in cm)is

The average of five consecutive positive integers is n, If the next two integers are also included, the
average of all these integers will

If a-$$\frac{1}{a-3}$$=5 then the value of $$(a-3)^{3}-\frac{1}{(a-3)^{3}}$$

.A plane divides a night circular cone into two parts of equal volume. If the plane is parallel to the base, then the ratio, in which the height of the coneis divided, is