A crate of fruits contains one spoiled fruit for every 25 fruits. 60 % of the spoiled fruit were sold. IF the seller had sold 48 spoiled fruits, then the number of fruits in the crate were:

If cos²α + cos²β = 2, then the value of tan³ α + sin⁵ β is :

A tap takes 36 hours extra to fill a tank due to leakage equivalent to half of its inflow. The inflow can fill the tank in how many hours?

In a test consisting of 150 questions carrying 1 mark each, Saurabh answered 80 % of the first 75 question correctly. What percent of the other 75 question does he need to answer correctly to score 60 % overall? 

6 litres are drawn from a cask full of wine and it is then filled with water. 6 litres of the mixture are drawn and the cask is again filled with water. The quantity of wine now left in the cask is to that of the water in it as 121 : 23. How much does the cask hold?

What will come in place of question mark ( ? ) in the following series?
656, 352, 200, 124, 86, ? 

A moving train crosses a man standing on a platform and a bridge 640 metres long in 15 seconds and 35 seconds respectively. What will be the time taken by the train to cross a platform 1280 meters long?