GATE CY 2011 Question Paper (13-Feb-2011) (Shift-2)

The sum of n terms of the series $4+44+444+....$ is

Given that $f(y)=|y|/y$, and q is any non-zero real number, the value of $|f(q)\text{–}f(-q)|$ is

Three friends, R, S and T shared toffee from a bowl. R took $1/3^{rd}$ of the toffees, but returned four to the bowl. S took $1/4^{th}$ of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees were originally there in the bowl?

The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below.



The distances covered during four laps of the journey are listed in the table belowFrom the given data, we can conclude that the fuel consumed per kilometre was least during the lap

The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. Then a serum was made from their blood. Serums to fight with diphtheria and tetanus were developed this way.

It can be inferred from the passage, that horses were