List of top Mathematics Questions asked in International Institute of Information Technology Hyderabad Undergraduate Entrance Examination

Three pipes A, B, and C can fill a tank in 6 hrs. After working at it together for 2 hrs, C is closed and A and B can fill the remaining part in 7 hrs. The total number of hours taken by C alone to fill the tank is
When I was a child, there used to be a fair in my town during the Diwali and Id festivities. Among the many things I saw was a strange puppet show. There were three puppets, one of a man, another of a woman, and the third one of a rakshasa (demon). Whenever the rakshasa was brought close to the woman, she would turn her face away. But when the man was brought close to her, she would turn back and face the man.

This question is based on the below graph: Which number below represents the area of the shaded curve to the closest value? 

The function \( f(x) \) is defined as follows:  \[ f(x) = \begin{cases} 2+x, & \text{if } x \geq 0 \\ 2-x, & \text{if } x \leq 0 \end{cases} \] Then function \( f(x) \) at \( x=0 \) is: 

A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?
If log2 = 0.30103 and log3 = 0.4771, find the number of digits in (648)\(^5\).
Choose the correct alternative that will continue the same pattern and fill in the blank spaces. 2, 7, 14, 23, —–, 47
A pair of fair dice is rolled. What is the probability that the second die lands on a higher value than the first?
How many solutions are there to the equation \(x_1 + x_2 + x_3 + x_4 = 17\), where \(x_1, x_2, x_3, x_4\) are nonnegative integers?
Consider a group of 20 people. If everyone shakes hands with everyone else, how many handshakes take place?