Karthik read $7\over13$th of a book in 1st week and $5\over 9$ of the remaining book in $2^ {nd}$ week. If there were 96 pages unread after $2^ {nd}$ week, then how many pages were there in the book ?

Two trains running in opposite directions cross a man standing on the platform in 27 and 17 seconds respectively and they cross each other in 23 seconds. What is the ratio of their speeds?

Machine P can print one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours, while machine R can print the same in 12 hours. All the machines started printing at 9 a.m. Machine P is stopped at 11 a.m. and the remaining two machines complete the work. Approximately, at what time will the printing of one lakh books be completed?

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

A can complete a work in 12 days while working 8 hours per day. B can complete the same work in 8 days while working 10 hours a day. If A and B work together, while working 8 hours a day, then the work can be completed in ___ days.

In a $\Delta$ABC, points M and N respectively lie on side AB and AC such that area of triangle ABC is double than the area of trapezium BMNC. The ratio AM : MB is

In an examination, a student's average marks were 63. If he had obtained 20 more marks in Geography and 2 more marks in history, then his average would have been 65. How many subjects were there in the examination?

A booster pump can be used for filling as well as emptying a tank. The capacity of the tank is 2400 $m^3 $. The emptying capacity of the tank is 10 $m^ 3$ /min higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

A and B walking around a circular park at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, then how many times shall they meet each other before 9.30 a.m.?