SSC CGL Tier-2 12-January-2017 Maths

Instructions

For the following questions answer them individually

Question 71

If $$x = 11$$, the value of $$x^5 - 12x^4 + 12x^3 - 12x^2 + 12x  - 1$$ is 

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Question 72

If $$a = \frac{1}{a - 5}(a > 0)$$, then the value of $$a + \frac{1}{a}$$ is

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Question 73

If $$a + \frac{1}{b} = b + \frac{1}{c} = c + \frac{1}{a}$$(where a ≠ b ≠ c), then abc is equal to

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Question 74

If $$ax + by = 1  and  bx + ay = \frac{2ab}{a^2 + b^2}  then  (x^2 + y^2)(a^2 + b^2)$$ is equal to

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Question 75

If x, y, z are the three factors of $$a^3 - 7a - 6$$, then value of x + y + z will be

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Question 76

ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If $$\angle DBC = 35^\circ$$, Then $$\angle AED$$ measures

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Question 77

In a triangle ABC, $$\angle A = 70^\circ, \angle B = 80^\circ$$ and D is the incentre of $$\triangle ABC$$. $$\angle ACB = 2x^\circ$$ and $$\angle BDC = y^\circ$$. The values of x and y, respectively are

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Question 78

In a right angled triangle $$\triangle$$DEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is

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Question 79

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

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Question 80

PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. $$\triangle$$ABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm .Then the length of the line joining the mid points of the sides AB and BC is

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