FCI Assistant Grade III 2013 Morning Shift


For the following questions answer them individually

Question 101

The circumradius of the triangle formed by the straight line $$3x+4y=12$$ and the coordinate axes is

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Question 102

If $$x(3-\frac{2}{x})=\frac{3}{x}$$, then value of $$x^{2}+\frac{1}{x^{2}}$$ is

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Question 103

if $$a^{2}+b^{2}-c^{2}=0$$, then the value of $$\frac{a^{6}+b^{6}-c^{6}}{a^{2}b^{2}c^{2}}$$ is

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Question 104

If $$a, b, c, d$$ are four non-negative real numbers and $$a + b + c + d = 1$$, then the maximum value of $$ab + bc + cd$$ is the maximum value of a

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Question 105

If P and Q are the middle points of the sides AB and AC respectively of a triangle ABC, X is any point on BC and AX meets PQ at O, then the length AO is equal to

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Question 106

ABCD is a parallelogram with AB = 10 cm, AD = 6 cm. The bisector of $$\angle A$$ meets DC in E, and is extended to meet BC produced at F. CF is

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Question 107

The radius of a circleis 13 cm and AB is a chord which is ata distance of 12 cm from the centre. Then the length of the chord is

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Question 108

If $$x = 2 + \sqrt{3}$$, then the value of $$x^2 - 4x + 2$$ is

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Question 109

Radii of two circles are 7 cm and 3 cm. If one of these lies wholly inside the other, then the distance between their centres is

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Question 110

The sum of two angles is $$135^\circ$$ and their difference is $$\frac{\pi}{2}$$. The value of the greater angle in radius is

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