Research Aptitu...

A can do a work in 10 days and B can do the same work in 20 days. They work together for 5 days and then A goes away. In how many, more days will B finish the work?

In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?

Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420.

A sum of money doubles itself in 5 years. In how many years will it become fourfold (if interest is compounded)?

Divided Rs. 6000 into two parts so that simple interest on the first part for 2 years at 6% p.a. may be equal to the simple interest on the second part for 3 years at 8% p.a.

Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph, Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

Two trains are running in opposite directions towards each other with speeds of 54 kmph and 48 kmph respectively. If the length of the train is 250 m and they cross each other in 18 seconds, the length of the other train is

A train travelling at 48 kmph completely crosses- another train having half its length and traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

A train of length 150 m takes 10 seconds to pass over another train 100 m long coming from the opposite direction, if the speed of the first train be 30 Kmph. the speed of the second train is

If P_o and P_s are the vapour pressures of the solvent and solution respectively and n₁ ​ and  n₂ are mole fractions of solvent and solute respectively, then