# GATE CSE 1997

 Question 1
The probability that it will rain today is 0.5. The probability that it will rain tomorrow is 0.6. The probability that it will rain either today or tomorrow is 0.7. What is the probability that it will rain today and tomorrow?
 A 0.3 B 0.25 C 0.35 D 0.4
Discrete Mathematics   Probability Theory
Question 1 Explanation:
 Question 2
The Newton-Raphson method is used to find the root of the equation $X^2-2=0$. If the iterations are started from -1, the iterations will
 A converge to -1 B converge to $\sqrt{2}$ C converge to $\sqrt{-2}$ D not converge
Engineering Mathematics   Numerical Method
Question 2 Explanation:

 Question 3
The determinant of the matrix $\begin{bmatrix} 6 & -8 & 1 & 1 \\ 0 & 2 & 4 & 6 \\ 0 & 0 & 4 & 8 \\ 0 & 0 & 0 & -1 \end{bmatrix}$
 A 11 B -48 C 0 D -24
Engineering Mathematics   Linear Algebra
Question 3 Explanation:
 Question 4
The concatenation of two lists is to be performed on O(1) time. Which of the following implementations of a list should be used?
 A Singly linked list B Doubly linked list C Circular doubly linked list D Array implementation of list
$\begin{array}{ll|ll}\hline \text{A.} & \text{All pairs shortest path} & \text{1.} & \text{Greedy} \\\hline \text{B.} & \text{Quick Sort} & \text{2.}& \text{Depth-First Search} \\\hline \text{C.}& \text{Minimum weight spanning tree} & \text{3.} & \text{Dynamic Programming} \\\hline \text{D.} & \text{Connected Components} &\text{4.} & \text{Divide and Conquer} \\\hline \end{array}$