Quantitative Aptitude - Arithmetic Ability Questions

In the first 43 overs of a cricket match, the run rate was 5 runs/over. Calculate the required run rate in the remaining 7 overs to reach the target of 285 runs?

One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 20 cm, what is the area of the rhombus?

If a3 + b 3 = 35 and ab = 6, then what is the value of a + b?

The marked price of a pen is Rs 3000. The shopkeeper gives two successive discounts of 15% and a% to the customer. If the customer pays Rs 2142 for the pen, then what is the value (in percentage) of a?

What is the area (in sq cm) of a rectangle if its diagonal is 25 cm and one of its sides is 24 cm?

What is the value of ( 1/3 + cosec30)?

A's salary was decreased by 50% and subsequently increased by 50%. How much percent does he lose?