SSC CGL Tier-2 30-November-2016 Maths

Instructions

For the following questions answer them individually

Question 71

If $$x^{2}$$ + $$y^{2}$$ + 6x + 5 = 4(x - y) then x - y is

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Question 72

If a = 299, b = 298, c = 297 then the value of $$2a^{3} + 2b^{3} + 2c^{3}- 6abc$$ is

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Question 73

if x+ $$\frac{1}{x}$$=$$\surd{3}$$ then the value of $$x^{18}+x^{12}+x^{6}+1$$

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Question 74

If x = 1 + $$\surd{2}$$+ $$\surd{3}$$, then the value of 2x^{4}- 8x^{3}- 5x^{2} + 26x - 28 is

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Question 75

If 2r =h+$$\sqrt{r^{2}+h^{2}}$$ then ratio r:h ($$r \neq 0$$) is

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Question 76

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

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Question 77

- PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and $$\angle RST$$ = $$65^\circ$$, the  $$\angle PTS $$ =

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Question 78

In ΔABC, AC = BC and ∠ABC = $$50^\circ$$, the side BC is produced to D so that BC = CD then the value of ∠BAD is

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Question 79

In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

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Question 80

ABC is a triangle, PQ is line segment intersecting AB in P and AC in Q and PQ II BC. The ratio of AP : BP = 3 : 5 and length of PQ is 18 cm. The length of BC is

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