a^2-b^2 = (a+b)(a-b) so 100^2-99^2=(100+99)(100-99)=100+99
so 1000^2-999^2+998^2-997^2.......+4-1 = 100+99+98+97...1 = 100*101/2 = 101*50 = 5050
Pawan asks Kashish, 'It is 9 pm as per my watch right now. Do you know what will be the time 23, 999, 997 hours later?'
Kashish knows the answer. Do you ?
Which number is greater - (99^999 + 1)/(99^1000 + 1) OR (99^1000 +1)/(99^1001 + 1)
Note: Answer without calculation...