Quantitative Aptitude - Arithmetic Ability Questions

In an acute-angled triangle ABC is Sin(B+A+C)=32 and tan(C+A-B)=1, then C is equal to

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

If x – 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x – 3y)?

Which one of the following is the minimum value of the sum of two integers whose product is 24?

What is the average of first 30 multiples of 9?

A car travels a certain distance at 34 km/h and comes back at 66 km/h. What is the average speed for total journey?

An 80 litre mixture of water and acid contains 20% acid. How much acid should be added to make the acid 60% in the new mixture?

If cosec∅+sin∅cosec∅-sin∅=53 then the value of sin∅is equal to