Quantitative Aptitude - Arithmetic Ability Questions

A man travelled at 40 kmph. Had he increased his speed by 16 kmph, he would have covered 80 km more in the same time. Find the actual distance travelled?

What is the average of 90, 250, 240, 204, and 616?

The mean of 10 observations is 17. One more observation is included and the new mean becomes 16. The 11th observation is

If ax + by = 1 and bx + ay = 2aba2+b2 then x2+y2a2+b2 is equal to

The slopes of two lines are 1 and √3. What is the angle between these two lines?

What is the value of (sinA -­ 2sin3A)/(2cos3A -­ cosA)?

If 4(4x + 5) > 2x - 1 > 4x - 3, then the value of x is

If 5 ­ 3x < 4 ­ x and 5(2 ­ x) > 2 ­ 2x, then x can take which of the following values?