X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in :

If 2sin² θ – 3 sin θ + 1 = 0,   θ being positive angle, then the values of θ are : 

If bc+ab+ca=abc, then the value of $$ {b+c\over {bc(a-1)}}+{a-c\over {ac(b-1)}}+{a+b\over {ab(c-1)}}$$ is

A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 ° to 60 °. After this the time required by the vehicle to reach the bottom of the hill is 

Raghu sold an article for Rs. 180 after allowing a 20% discount on its marked price. Had he not allowed any discount, he would have gained 20%. What is the cost price of the article?

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is: 

Three pipes A , B and C takes 15, 24 and 36 minutes respectively to fill a tank. Pipe D can empty it in 1 hour. If all the four pipes are kept open then find the time taken to fill the tank. 

Madhur scored 101 marks in Hindi, 100 in Science, 96 in Sanskrit, 108 in Maths and 78 in English if the maximum marks in each subject is equal and Madhur secured 84 percent marks in all the subjects. What will be the maximum marks for each subject?