SSC CGL 7 June 2019 Shift-1

Instructions

For the following questions answer them individually

Question 51

Three numbers are such that if the average of any two of them is added to the third number, the sums obtained are 164, 158 and 132 respectively. What is the average of the original three numbers?

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Question 52

If $$\cot \theta = \sqrt7$$, then the value of $$\frac{\cosec^2 \theta - \sec^2 \theta}{\cosec^2 \theta + \sec^2 \theta}$$ is:

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Question 53

If $$\tan^2 \theta - 3 \sec \theta + 3 = 0, 0^\circ < \theta < 90^\circ$$, then the value of $$ \sin \theta  + \cot \theta$$ is:

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Question 54

A boat can cover a distance of 7.2 km downstream and 3.2 km upstream in 2 hours.It can also cover 1.5 km downstream and 0.6 km upstream in 24 minutes. What is the speed of the boat when going downstream (in km/h)?

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Question 55

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


If the data related to the production of type E cars is represented by a pie-chart, then the central angle of the sector representing production of cars in 2013 will be:

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Question 56

A dealer buys an article at a discount of 20% on its list price and marks it at 25% above the list price. If he allows a 20% discount on the new list price, then his profit percent is:

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Question 57

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


The average production of type C cars during 2012 to 2016 is approximately what percent less than the total production of type D cars in 2012 and type E cars in 2014? 

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Question 58

The ratio of the present ages of A and is 8 : 15. Eight years ago,the ratio of their ages was 6 : 13. What will be the ratio of ages of A and B after 8 years from now?

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Question 59

A sum amounts to ₹18,600 after 3 years and to ₹27,900 after 6 years,at a certain rate percent p.a., when the interest is compounded annually. The sum is:

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Question 60

If x = 2 - p, then $$x^3 + 6xp + p^3$$ is equal to:

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