The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 410. The simple interest on the same sum at the same rate and for the same time is-

If a^2x+2=1, where a is a positive real number other than 1, then x is equal to 

Travelling at 80km/hr, Praveen reaches his destination at a certain time. He covers 3/5th of his journey in 2/5th at the time. At what speed (in km/hr) should he travel to cover the remaining journey, so as to reach his destination on time? 

P, Q and R share the profit in a business in the ratio of 1/4, 1/6 and 7/12. Due to some reason, R takes retirement. What will be the new profit sharing ratio for P and Q if they retain their old ratios in the new shares of profit?

What will be come in place of question mark(?) in the following number series?
8,  14, 25, 46, 82 , ?

If then 3 : y : x equal to :

∆ABC is a right angle triangle BD⊥AC. If AD = 12 cm and DC = 8, then BD = ?

A container in the shape of a frustum of a cone having diameters of its two circular faces as 35 cm. and 30 cm and vertical height 14 cm. is completely filled with oil. If each cm3 of oil has mass 1.2g, then find the cost of oil in the container if its costs Rs. 40 per kg.