# GATE CSE 1994

 Question 1
FORTRAN implementation do not permit recursion because
 A they use static allocation for variables B they use dynamic allocation for variables C stacks are not available on all machines D it is not possible to implement recursion on all machines

Question 1 Explanation:
 Question 2
Let A and B be real symmetric matrices of size $n \times n$. Then which one of the following is true?
 A $AA'=I$ B $A=A^{-1}$ C $AB=BA$ D $(AB)'=BA$
Engineering Mathematics   Linear Algebra
Question 2 Explanation:

 Question 3
Backward Euler method for solving the differential equation $\frac{dy}{dx}=f(x, y)$ is specified by, (choose one of the following).
 A $y_{n+1}=y_n+hf(x_n, y_n)$ B $y_{n+1}=y_n+hf(x_{n+1}, y_{n+1})$ C $y_{n+1}=y_{n-1}+2hf(x_n, y_n)$ D $y_{n+1}= (1+h)f(x_{n+1}, y_{n+1})$
Engineering Mathematics   Calculus
Question 3 Explanation:
 Question 4
Let A and B be any two arbitrary events, then, which one of the following is TRUE?
 A $P (A \cap B) = P(A)P(B)$ B $P (A \cup B) = P(A)+P(B)$ C $P (A \mid B) = P(A \cap B)P(B)$ D $P (A \cup B) \leq P(A) + P(B)$
Discrete Mathematics   Probability Theory
Question 4 Explanation:
 Question 5
An unrestricted use of the "goto" statement is harmful because
 A it makes it more difficult to verify programs B it increases the running time of the programs C it increases the memory required for the programs D it results in the compiler generating longer machine code
C Programming   Conditional Statement
Question 5 Explanation:

There are 5 questions to complete.