SSC CGL 7 June 2019 Shift-1

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?

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

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

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)?

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:

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:

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? 

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?

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:

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