For any positive integer n, prove that n^3-n is divisible by 6 by cbseassistance · March 24, 2018 For any positive integer , prove that n^3-n is divisible by 6 Loading... Taking too long? Reload document | Open in new tab Share this: Share on X (Opens in new window) X Share on Facebook (Opens in new window) Facebook Like this:Like Loading…
Find the greatest number that divides 445, 572 and 699 leaving remainders 4, 5 and 6 respectively March 24, 2018
105 goats, 140 donkeys and 175 cows have to be taken across a river. There is only one boat which will have to make many trips in order to do so. The lazy boatman has his own conditions for transporting them. He insists that he will take the same number of animals in every trip and they have to be of the same kind. He will naturally like to take the largest possible number each time. Can you tell how many animals went in each trip? March 24, 2018
Prove that if a positive integer is of the form 6q+5, then it is of the form 3q+2 for some integer q, but not conversely March 24, 2018