SSC CGL Tier-2 13th September 2019 Maths

If in $$\triangle PQR, \angle P = 120^\circ, PS \perp QR$$ at $$S$$ and $$PQ + QS = SR$$. then the measure of $$\angle Q$$ is:

The given pie-chart shows the break-up of total marks obtained by a student in five subjects A, B, C, D and E. The maximum marks in each subject is 150 and he obtained total of 600 marks.

In how many subjects did the student obtain more than his average score?

Walking at 60% of his usual speed, a man reaches his destination 1 hour 40 minuteslate, His usual time (in hours) to reach the destination is:

A man can row a distance of 900 metres against the stream in 12 minutes and returns to the starting point in 9 minutes. What is the speed (in km/h) of the man in still water?

If $$x + y + z = 6, xyz = -10$$ and $$x^2 + y^2 + z^2 = 30$$, then what is the value of $$(x^3 + y^3 + z^3)$$?

The value of $$\frac{(4.6)^4 + (5.4)^4 + (24.84)^2}{4.6)^2 + (5.4)^2 + 24.84}$$ is:

If $$\frac{\sin \theta}{1 + \cos \theta} + \frac{1 + \cos \theta}{\sin \theta} = \frac{4}{\sqrt{3}}, 0^\circ < \theta < 90^\circ$$, then the value of $$(\tan \theta + \sec \theta)^{-1}$$ is:

Sudha bought 80 articlesat the same price. She sold some of them at 8% profit and the remaining at 12% loss resulting in an overall profit of 6%. The mimber of items sold at 8% profit is:

The given pie-chart shows the break-up of total marks obtained by a student in five subjects A, B, C, D and E. The maximum marks in each subject is 150 and he obtained total of 600 marks.

The total marks obtained by the student in subjects C and E is approximately how much per cent more than what he obtained in A and D together?

If the selling price of an article is 32% more than its cost price and the discount offered on its marked price is 12%, then what is the ratio of its cost price to the marked price?