SSC CGL Tier-2 25-October-2015 Maths

Instructions

For the following questions answer them individually

Question 71

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

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Question 72

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

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Question 73

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

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Question 74

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

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Question 75

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

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Question 76

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?

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Question 77

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

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Question 78

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

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Question 79

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

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Question 80

.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

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