Quantitative Aptitude - Arithmetic Ability Questions

What is the value of sin (90° + 2A)[4 – cos2(90° – 2A)]?

If a - b = 2 and ab = 8, then what is the value of a3 - b3?

In ΔXYZ measure of angle Y is 90°. If cosecX = 17/15, and XY = 4cm, then what is the length (in cm) of side YZ?

If one-third of a number is 45, then what will be the 45% of that number?

The selling price of an item inclusive of a 10% profit was Rs.440. What would be the percentage loss if the item was sold for Rs. 370?

The ratio of present ages of Raman and Lamba is 7 : 5. After 6 years age of Raman will be 48 years. What is the present age (in years) of Lamba?

Dealer purchased an article for Rs. 900 and fixes the list price in such a way that he gains 20% after allowing 10% discount, then the list price is

The line passing through point (-3,1) and point (x,5) is parallel to the line passing through point (-2,-1) and point (6,3). What is the value of x?