List of top Computer Science and IT Engineering Questions

f(x) and g(y) are functions of x and y, respectively, and \( f(x) = g(y) \) for all real values of x and y. Which one of the following options is necessarily TRUE for all x and y?

A series of natural numbers \(F_1, F_2, F_3, F_4, F_5, F_6, F_7, \ldots\) obeys \[ F_{n+1} = F_n + F_{n-1}, \text{for all integers } n \geq 2. \] If \(F_6 = 37\) and \(F_7 = 60\), then what is \(F_1\)?

A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while 40% received medical care from other healthcare providers. Given this information, which one of the following statements can be inferred with certainty?

Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?