Quantitative Aptitude - Arithmetic Ability Questions

The value of sinθ+sin∅cosθ+cos∅ + cosθ-cos∅sinθ-sin∅ is

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

Marked price of an item is Rs 900. On purchase of 2 items discount is 6%, on purchase of 3 items discount is 12%. Rajani buys 5 items, what is the effective discount?

In a Rhombus ABCD, measure of angle CAB is 25°, what is the measure of angle ABC?

The profit (in Rs.) after selling an article for Rs.524 is the same as the loss (in Rs.) after selling it for Rs.452. The cost price of the article is:

A cricketer, whose bowling average was 12.4 runs/wicket takes 5 wickets for 22 runs in a match, thereby decreases his average by 0.4. The number of wickets, taken by him before this match was:

A work can be completed by 18 boys in 24 days. If 6 boys leave after working for 12 days, then how many days will be needed to complete the remaining work?

A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?