The population of a town is 3,11,250. The ratio of women to men is 43: 40. If there are 24% literate among women and 10% illiterate, among men, the total number of literate persons in the town is : 

Pipes P and Q can fill a tank in 18 and 27 minutes, respectively, whereas Pipe R can empty the full tank in 54 minutes.  P and Q were opened together for 6 minutes and then   closed and R was opened. The tank was emptied by R alone in :

A 160-meter-long train running at a speed of 90 km/h crosses a platform is 18 s. What is the length of the platform in metre?

A boat running downstreams covers a distance of 30 kms in 2 hours. While coming back the boat takes 6 hours to cover the same distance. If the speed  of the current is half that of the boat, what is the speed of that boat in kmph?

Direction: Given bar graph shows the number of plain books and lined books (in hundreds) available at three different stores and the table shows the percentage of total books (Plain + lined) that was sold by different stores.

Unsold books of store A is approximately is what percent more or less than total unsold books of store B and C together. 

The average age of 30 students is 9 years. If the age of their teacher is included, the average age become 10 years. The age of the teacher ( in years ) is

If x²+y²+z² = xy + yz + zx, then the value of $${3x^4+7y^4+5z^4}\over{5x^2y^2+7y^2z^2+3z^2x^2} $$ is