The ratio of Ram, Shyam, and Mohan's Working speed is 2: 3: 5 if they get Rs 40,000 for some work. Then find the share of Shyam(in Rupees)?

Hema takes a total of 9 hours 55 min to walk a certain distance and then cycling back to the same place from where she had started. She could walk both ways in 12 hours 30 min. The time she will take to cycle both ways is:

Two parallel chords are drawn in a circle of diameter 30 cm. The length of one chord is 24 cm and the distance between the two chords is 21 cm. The length of the other chord is 30 cm 

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

Rectangle ABCD is formed in a circle with centre D. IF AE=6 cm and AD=9 cm, then find the perimeter of the rectangle.

In an examination, 50% of the students passed in Science and 75% passed in Social Science, while 20% students failed in both the subjects. If 270 students passed in both subjects, find the total number of students who appeared in the exam?

A train runs at a speed of 80km/hr. If the length of the train is 400 m, how long will it take for it to cross an 400m bridge? 

Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9 % p. a. for the next five years and 13 % p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is ₹8,160, the money borrowed by him ( in ₹ ) was -