Question
If (6000) 5 = 7.776Â
src='https://static.ixambee.com/public/images/quesimg/Question Bank/Quantitative Aptitude/Surds and indices/77619_342937.gif'>  10 k then what is the value of k?Solution
(6000) 5Â = 7.776Â 
 10 k or (6 103)5 =  10k or 65 1015 = 65  10(k-3) or 1015 = 10(k-3) or k = 15+3 = 18
A ship, when moving against the current, can travel a distance of 240 km in 8 hours. If the ship's speed in calm waters is 40 km/hr, how many hours will...
A boat can cover a distance of 64 km downstream in 4 hours less time than it takes to travel the same distance upstream. If the current of the stream fl...
A man swims 2km/h against the stream and goes 1 km in 10 minutes along the stream, how much time will it take to cover 5 km in still water?
A boat can travel 18 km downstream in 2 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water?
The speed of boat 'X' in upstream is 18 km/hr and speed of boat 'Y' in downstream is 30 km/hr. If the difference between speeds of boat 'X' and 'Y' in s...
A boat takes 20 hours to travel 260 km downstream. The speed of the boat in still water is 125% greater than the speed of the stream. If the boat comple...
A boat covers a distance of 150 km while moving in a downstream in 5 hours. When the boat covers a distance of 60 km in still water in 3 hours, then Wha...
A boat can cover 40 km upstream and 60 km downstream in 13 hour. Also it can cover 50 km upstream and 72 km downstream in 16 hour. Find the speed of boa...
A boatman rows 216 km upstream in 6 hours and 432 km downstream in 6 hours. How long will it take to row 324 km in still water?
The velocity of a boat when moving downstream is 18 km/h greater than the speed of the stream. If it takes the boat 8 hours to travel 192 km downstream,...
Relevant for Exams:
