List of top Questions asked in GATE Electronics and Communication Engineering

Let $w^4 = 16j$. Which of the following cannot be a value of $w$?
The rate of increase, of a scalar field $f(x,y,z) = xyz$, in the direction $v=(2,1,2)$ at a point $(0,2,1)$ is
How many rectangles are present in the given figure?
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures that have claws are ferocious.

Based only on the information provided above, which one of the following options can be logically inferred with certainty?
In a class of 100 students, (i) there are 30 students who neither like romantic movies nor comedy movies, (ii) the number of students who like romantic movies is twice the number of students who like comedy movies, and (iii) the number of students who like both romantic movies and comedy movies is 20. How many students in the class like romantic movies?