Quantitative Aptitude - Arithmetic Ability Questions

If secA/√(sec2A ­- 1) = x, then value of x is

If cos 135° = x, then the value of x is

A dealer allows a discount of 15%. A customer pays an amount of Rs. 318.75 for an article. At what price is the article listed?

Triangle DEF is right angled at E. If cot D = 5/12, then what is the value of sin F?

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)

A car travels a certain distance at 32 km/h and comes back at 68 km/h. What is the average speed for total journey?

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

The average of 21 numbers is 12. The average of the first 11 numbers is 9 and the average of the last 11 numbers is 15. What is the value of the middle number?