List of top Mathematics Questions asked in IIITH UGEE

Find the equation of the tangent line to the curve \( y = x^2 - 3x + 2 \) at the point \( (1, 0) \).
You are given a sequence of numbers: 2, 5, 10, 17, ... Identify the pattern and find the next three terms in the sequence. Can you express the nth term of this sequence in a general formula?
Explain the concept of a limit. Why is it important in calculus?
A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?
Choose the correct alternative that will continue the same pattern and fill in the blank spaces. 2, 7, 14, 23, —–, 47
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
This question is based on the below graph: Which number below represents the area of the shaded curve to the closest value? 
area of the shaded curve to the closest value
If log2 = 0.30103 and log3 = 0.4771, find the number of digits in (648)\(^5\).
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?

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: 

Consider a group of 20 people. If everyone shakes hands with everyone else, how many handshakes take place?
A pair of fair dice is rolled. What is the probability that the second die lands on a higher value than the first?
Explain the concept of a limit. Why is it important in calculus?
Find the equation of the tangent line to the curve \( y = x^2 - 3x + 2 \) at the point \( (1, 0) \).
You are given a sequence of numbers: 2, 5, 10, 17, ... Identify the pattern and find the next three terms in the sequence. Can you express the nth term of this sequence in a general formula?