Quantitative Aptitude - Arithmetic Ability Questions

The average runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?

An article was sold at Rs. 950 allowing 5% discount on the marked price. The marked price of the article is

Some one rupee, 50 paisa and 25 paisa coins make up rupees 93.75 and their numbers are in the proportion of 3 : 4 : 5. Find the number of each type of coins?

If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?

If x2 + (1/x2) = 1, then what is the value of x48 + x42 + x36 + x30 + x24 + x18 + x12 + x6 + 1?

If sec (3x – 20°) = cosec (3y + 20°), then what is the value of tan (x + y)?

20 kg of a mixture of wheat and husk contains 5% husk. How many kg more of husk must be added to make the husk content 20% in the new mixture?

Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?