# GATE CSE 1998

 Question 1
A die is rolled three times. The probability that exactly one odd number turns up among the three outcomes is
 A $\dfrac{1}{6}$ B $\dfrac{3}{8}$ C $\dfrac{1}{8}$ D $\dfrac{1}{2}$
Discrete Mathematics   Probability Theory
Question 1 Explanation:
 Question 2
Consider the following set of equations
$x+2y=5\\ 4x+8y=12\\ 3x+6y+3z=15$
This set
 A has unique solution B has no solution C has finite number of solutions D has infinite number of solutions
Engineering Mathematics   Linear Algebra
Question 2 Explanation:

 Question 3
Which of the following statements applies to the bisection method used for finding roots of functions:
 A converges within a few iterations B guaranteed to work for all continuous functions C is faster than the Newton-Raphson method D requires that there be no error in determining the sign of the function
Engineering Mathematics   Numerical Method
Question 3 Explanation:
 Question 4
Consider the function y=|x| in the interval [-1, 1]. In this interval, the function is
 A continuous and differentiable B continuous but not differentiable C differentiable but not continuous D neither continuous nor differentiable
Discrete Mathematics   Functions
Question 4 Explanation:
 Question 5
What is the converse of the following assertion?
I stay only if you go
 A I stay if you go B If I stay then you go C If you do not go then I do not stay D If I do not stay then you go
Discrete Mathematics   Propositional Logic
Question 5 Explanation:

There are 5 questions to complete.