SSC CGL 7 June 2019 Shift-3

Instructions

For the following questions answer them individually

Question 51

The value of $$ 6 - 6 \div 6 \times 6 + (6 \div 6  of  6) \times 6 - \left(3\frac{2}{3} \div \frac{11}{30}  of  \frac{2}{3}\right) \div 5$$ is:

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Question 52

If $$\frac{6x}{(2x^2 + 5x - 2)} = 1, x > 0,$$ then the value of $$x^3 + \frac{1}{x^3}$$ is:

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Question 53

Two chords AB and CD of lengths 5 cm and 11 cm respectively are parallel and are on the sameside of the centre O of a circle. If the distance between the chords is 3 cm, then what is the diameter of the circle?

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Question 54

The table shows the production of different types of cars (in thousands).

The average production of cars in 2018 is approximately what percent less than the total production of type D cars in 2015 and type B cars in 2017 taken together ?

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Question 55

If $$\frac{1}{\operatorname{cosec}\theta-1}+\frac{1}{\operatorname{cosec}\theta+1}=2\sec\theta$$, $$0^\circ < \theta < 90^\circ$$, then the value of $$(\cot \theta + \cos \theta)$$ is:

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Question 56

$$\left(\frac{2\tan30^{\circ}}{1-\tan^230^{\circ}}\right)$$ = 

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Question 57

A journey of 96 km takes one hour less by a fast train (A) than by a slow train (B). If the average speed of B is 16 km/h less than that of A, then the average speed (in km/h) of A is:

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Question 58

The value of $$\sin^230^{\circ}\cos^245^{\circ}+4\tan^230^{\circ}+\frac{1}{2}\sin^290^{\circ}+2\cos90^{\circ}$$ is:

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Question 59

What is the compound interest on a sum of ₹8,100 for $$1\frac{1}{4}$$ years at 8% per annum,if the interest is compounded 5-monthly? (Nearest to ₹1)

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Question 60

In $$\triangle$$ABC, AM $$\perp$$ BC and AN is the bisector of $$\angle$$A. What is the measure of $$\angle$$MAN, if $$\angle$$B = $$55^\circ$$ and $$\angle$$C = $$35^\circ$$ ?

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