Instructions

For the following questions answer them individually

Question 81

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

Question 82

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?

Question 83

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:

Question 84

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?

Question 85

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

Question 87

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:

Question 88

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:

Question 89

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?

Question 90

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?