2017 SSC CGL 12 Aug Shift-1

Instructions

For the following questions answer them individually

Question 61

If $$x(2x+3)=90$$ and $$7y^{\frac{-1}{2}}+2y^{\frac{-1}{2}}=y^{\frac{1}{2}}$$ (x and y are positive numbers), then what is the value of $$x^2 + y^2$$ ?

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Question 62

If $$\frac{x}{y}=\frac{4}{9}$$, then what is the value of $$\frac{(7x^2-19xy+11y^2)}{y^2}$$ ?

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Question 63

If $$x-3+[\frac{1}{(x-3)}]=4$$, what is the value of $$(x-3)^3+[\frac{1}{(x-3)^3}]$$ ?

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Question 64

If $$x^2+ y^2 + z^2 = xy + yz + zx$$, then what is the value of $$\frac{(7x+3y-5z)}{5x}$$ ?

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Question 65

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

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Question 66

In the given figure, DE$$\parallel$$BC and DE = 1/3 BC. If area of triangle $$ADE = 20 cm^2$$, then what is the area $$(in cm^2)$$ of triangle DEC? 

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Question 67

If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?

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Question 68

If sum of the areas of the circumcircle and the incircle of an equilateral triangle is $$770 cm^2$$, then what is the area $$(in cm^2)$$ of the triangle?

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Question 69

What is the value of $$sin(\frac{-\pi}{3})+cos(\frac{-\pi}{6})$$ ?

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Question 70

If θ is acute angle and tanθ - cotθ = 0, then what is the value of $$tan^{26}θ + cot^{100}θ$$ ?

Video Solution
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