List of top General Aptitude Questions on Data Interpretation asked in GATE CS

Let \(P\) be the partial order defined on the set \(\{1, 2, 3, 4\}\) as follows: \[ P = \{(x, x) \mid x \in \{1, 2, 3, 4\}\} \cup \{(1, 2), (3, 2), (3, 4)\} \] The number of total orders on \(\{1, 2, 3, 4\}\) that contain \(P\) is ...........\_\_\_.
Let \( A \) be the adjacency matrix of a simple undirected graph \( G \). Suppose \( A \) is its own inverse. Which one of the following statements is always TRUE?
When six unbiased dice are rolled simultaneously, the probability of getting all distinct numbers (i.e., \( 1, 2, 3, 4, 5, \) and \( 6 \)) is
Consider a system that uses 5 bits for representing signed integers in 2’s complement format. In this system, two integers \( A \) and \( B \) are represented as \( A = 01010 \) and \( B = 11010 \). Which one of the following operations will result in either an arithmetic overflow or an arithmetic underflow?
The probability of getting a distinct number while throwing dice six times?
 
The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year 3 was ₹1, which was half the cost/unit in Year 2. The cost/unit in Year 3 was one-third of the cost/unit in Year 1. Taxes were paid on the selling price at 10%, 13% and 15% respectively for the three years. Net profit is calculated as the difference between the selling price and the sum of cost and taxes paid in that year. The ratio of the selling price in Year 2 to the selling price in Year 3 is \(\underline{\hspace{1cm}}\).
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