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 

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 train after travelling 150 Km. meets with an accident and then proceeds with 3/5 of its former speed and arrives at its destination 8 hours late. Had the accident occurred 360 Km. farther, it would have reached the destination 4 hours late. What is the total distance travelled by the train?

4/5 of a number is 10 more than two-thirds of the same number. What is that number?

The average of 5 consecutive integers starting with ‘M’ is ‘K’. What is the average of 6 consecutive integers stating with (m+1)?

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?

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 :