Question
Find the number of words that can be formed by using all
letters of the word 'LAPTOP', if order of vowels remains same.Solution
Total words “LAPTOP”= 6 Number of vowels (A, O) = 2 But in these, we cannot change the order of vowels. Suppose the required ways be 'n' multiplied by 2! ways with 'n' must be given 6! => 2! × n = 6! => n = 360 ways
A 540-metre long train takes 9 seconds to cross a pole. If it takes 33 seconds to cross a bridge, then find the length of the bridge. (in km)
A 360 m long train crosses a platform twice its length in 2 min. Find the speed of the train.
Two trains start simultaneously from stations X and Y, moving toward each other. The first train travels at a speed of 60 km/h, w...
- Train βXβ is 360 metres long and takes 18 seconds to cross a pole. Speed of train βYβ is 22 m/sec. If both trains cross each other in 16 seconds wh...
- Train 'A' having a speed of 20 m/s can cross a man in 5 seconds. The length of train 'B' is 100 metres more than the length of 'A'. If the speed of 'B' is ...
A train running at 25 km/hr takes 36 seconds to pass a platform. Next, it takes 14 seconds to pass a man walking at 7 km/hr in the same direction. Find ...
A train moving at a speed of 'x' kilometers per hour passes a pole in 18 seconds and crosses a 240-meter long platform in 30 seconds. How far does the t...
Two trains of same length are running in parallel tracks in the same direction with speed 55 km/hr and 115 km/hr respectively. The latter completely cro...
A train, which is moving at the rate of 60 miles per hour, is brought to rest in 3 minutes with a uniform retardation, find this retardation, and also t...
A train 450 metre long takes 45 sec to cross a man running at a speed of 4 km/hr in the direction same to that of train. What is the speed of the train?