Quantitative Aptitude - Arithmetic Ability Questions

The value of 8(sin6θ + cos6θ) - 12(sin4θ + cos4θ) is equal to

If 4r = h + r2+h2 then r: h = ? (r not equal to 0)

A non-zero number is greater than 7 times its reciprocal by 9.3. What is the number?

4 hrs after a goods train passed a station, another train travelling at a speed of 60 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

The angles of depression of two ships from the top of a light house are 45° and 30° toward east. If the ships are 200m apart, the height of the light house is (take √3=1.73)

For the data given below. find the sum of mode. median and mean.6, 3, 8, 4, 3, 11, 7, 4, 5, 4.

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

The addition of a rational number and its reciprocal is 61/30. Calculate the number.