List of top General Aptitude Questions on Quantitative Aptitude asked in GATE CS

A day can only be cloudy or sunny. The probability of a day being cloudy is 0.5, independent of the condition on other days. What is the probability that in any given four days, there will be three cloudy days and one sunny day?

The values of Stock A and Stock B on a particular day are Rs. 50 and Rs. 80, respectively. An investor invests Rs. 100 in Stock A and Rs. 80 in Stock B. He sells all the stocks the next day when the value of Stock A is Rs. 55 and Stock B is Rs. 70. The profit made by the investor is Rs.

For positive real numbers \(S\) and \(K\), the function \(H_K(S)\) is defined as:
\[ H_K(S) = \max(S-K, 0) \]
The max function is defined as:
\[ \max(a,b) = \begin{cases} a, & \text{when } a > b \\ b, & \text{when } a \leq b \end{cases} \]
The graph below shows the plot of a function \(N(S)\) versus \(S\).

\(N(S)\) can be expressed as ______.