List of top Mathematics Questions asked in GATE Ecology and Evolution

Which one of the following plots represents \( f(x) = -\frac{|x|}{x} \), where \( x \) is a non-zero real number?
Note: The figures shown are representative.

The following empirical relationship describes how the number of trees \( N(t) \) in a patch changes over time \( t \): \[ N(t) = -2t^2 + 12t + 24 \] where \( t = 0 \) is when the number of trees were first counted. Given this relationship, the maximum number of trees that occur in the patch is

In a lake with a large population of fish, there are 4 blue fish for every red fish. Every fish has an equal probability of being caught. If you dip a net into this lake and pick up 4 individuals at random, the probability that you will get 2 fish of each colour is:

There are 9 different rock lizard species, each with a unique colour. Lizards of 2 different species sit on a rock at any given time. The number of possible colour combinations of rock lizards seen together on a rock is: