Karthik read $7^ 13$th of a book in 1st week and $5^ 9$ 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