# Tag Archives: Gate IT 2005

In the following table, the left column contains the names of standard graph algorithms and the right column contains the time complexities of the algorithms.… Read More
In a depth-first traversal of a graph G with n vertices, k edges are marked as tree edges. The number of connected components in G… Read More
A function f defined on stacks of integers satisfies the following properties. f(∅) = 0 and f (push (S, i)) = max (f(S), 0) +… Read More
The numbers 1, 2, …. n are inserted in a binary search tree in some order. In the resulting tree, the right subtree of the… Read More
How many pulses are needed to change the contents of a 8-bit up counter from 10101100 to 00100111 (rightmost bit is the LSB)? (A) 134… Read More
A two-way switch has three terminals a, b and c. In ON position (logic value 1), a is connected to b, and in OFF position,… Read More
A dynamic RAM has a memory cycle time of 64 nsec. It has to be refreshed 100 times per msec and each refresh takes 100… Read More
Using Booth’s Algorithm for multiplication, the multiplier -57 will be recoded as (A) 0 -1 0 0 1 0 0 -1 (B) 1 1 0… Read More
Which of the following expressions is equivalent to (A⊕B)⊕C (A) (A+B+C)(A¯+B¯+C¯) (B) (A+B+C)(A¯+B¯+C) (C) ABC+A¯(B⊕C)+B¯(A⊕C) (D) None Answer: (C) Explanation: (A ⊕ B) ⊕ C… Read More
The language {0n 1n 2n | 1 ≤ n ≤ 106} is   (A) regular (B) context-free but not regular. (C) context-free but its complement… Read More
Which of the following statements is TRUE about the regular expression 01*0? (A) It represents a finite set of finite strings. (B) It represents an… Read More
Let L be a regular language and M be a context-free language, both over the alphabet Σ. Let Lc and Mc denote the complements of… Read More
The determinant of the matrix given below is (A) -1 (B) 0 (C) 1 (D) 2 Answer: (A) Explanation:   Matrices don’t have value associated… Read More
If the trapezoidal method is used to evaluate the integral obtained 0∫1x2dx ,then the value obtained (A) is always > (1/3) (B) is always <… Read More
A bag contains 10 blue marbles, 20 green marbles and 30 red marbles. A marble is drawn from the bag, its colour recorded and it… Read More