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Answers by Bhagirathi

–2 votes
81
GATE IT 2008 | Question: 11
For problems X and Y, Y is NP-complete and X reduces to Y in polynomial time. Which of the following is TRUE? If X can be solved in polynomial time, then so can Y X is NP-complete X is NP-hard X is in NP, but not necessarily NP-complete
For problems X and Y, Y is NP-complete and X reduces to Y in polynomial time. Which of the following is TRUE?If X can be solved in polynomial time, then so can YX is NP-c...
39 votes
84
GATE IT 2005 | Question: 51
Let $T(n)$ be a function defined by the recurrence $T(n) = 2T(n/2) + \sqrt n$ for $n \geq 2$ and $T(1) = 1$ Which of the following statements is TRUE? $T(n) = \Theta(\log n)$ $T(n) = \Theta(\sqrt n)$ $T(n) = \Theta(n)$ $T(n) = \Theta(n \log n)$
Let $T(n)$ be a function defined by the recurrence$T(n) = 2T(n/2) + \sqrt n$ for $n \geq 2$ and$T(1) = 1$Which of the following statements is TRUE?$T(n) = \Theta(\log n)$...
20 votes
91
GATE CSE 1996 | Question: 2.12
The recurrence relation $T(1) = 2$ $T(n) = 3T (\frac{n}{4}) +n$ has the solution $T(n)$ equal to $O(n)$ $O (\log n)$ $O\left(n^\frac{3}{4}\right)$ None of the above
The recurrence relation$T(1) = 2$$T(n) = 3T (\frac{n}{4}) +n$has the solution $T(n)$ equal to$O(n)$$O (\log n)$$O\left(n^\frac{3}{4}\right)$ None of the above
24 votes
92
GATE CSE 1996 | Question: 1.5
Two dice are thrown simultaneously. The probability that at least one of them will have $6$ facing up is $\frac{1}{36}$ $\frac{1}{3}$ $\frac{25}{36}$ $\frac{11}{36}$
Two dice are thrown simultaneously. The probability that at least one of them will have $6$ facing up is$\frac{1}{36}$$\frac{1}{3}$$\frac{25}{36}$$\frac{11}{36}$
27 votes
93
GATE CSE 1996 | Question: 2.7
The probability that top and bottom cards of a randomly shuffled deck are both aces is $\frac{4}{52} \times \frac{4}{52}$ $\frac{4}{52} \times \frac{3}{52}$ $\frac{4}{52} \times \frac{3}{51}$ $\frac{4}{52} \times \frac{4}{51}$
The probability that top and bottom cards of a randomly shuffled deck are both aces is$\frac{4}{52} \times \frac{4}{52}$$\frac{4}{52} \times \frac{3}{52}$$\frac{4}{52} \t...
30 votes
95
GATE CSE 1994 | Question: 1.15
The number of substrings (of all lengths inclusive) that can be formed from a character string of length $n$ is $n$ $n^2$ $\frac{n(n-1)}{2}$ $\frac{n(n+1)}{2}$
The number of substrings (of all lengths inclusive) that can be formed from a character string of length $n$ is$n$$n^2$$\frac{n(n-1)}{2}$$\frac{n(n+1)}{2}$
3 votes
96
GATE CSE 1994 | Question: 25
An array $A$ contains $n$ integers in non-decreasing order, $A[1] \leq A[2] \leq \cdots \leq A[n]$. Describe, using Pascal like pseudo code, a linear time algorithm to find $i, j,$ such that $A[i]+A[j]=a$ given integer $M$, if such $i, j$ exist.
An array $A$ contains $n$ integers in non-decreasing order, $A \leq A \leq \cdots \leq A[n]$. Describe, using Pascal like pseudo code, a linear time algorithm to find $...
33 votes
97
GATE CSE 1991 | Question: 03,vii
The following sequence of operations is performed on a stack: $PUSH (10), PUSH (20), POP, PUSH (10), PUSH (20), POP, POP, POP, PUSH (20), POP$ The sequence of values popped out is $20,10,20,10,20$ $20,20,10,10,20$ $10,20,20,10,20$ $20,20,10,20,10$
The following sequence of operations is performed on a stack:$PUSH (10), PUSH (20), POP, PUSH (10), PUSH (20), POP, POP, POP, PUSH (20), POP$The sequence of values poppe...
4 votes
99
GATE CSE 1997 | Question: 1.1
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? $0.3$ $0.25$ $0.35$ $0.4$
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$...
3 votes
101
GATE CSE 1994 | Question: 3.4
Match the following items (i) Newton-Raphson (a) Integration (ii) Runge-Kutta (b) Root finding (iii) Gauss-Seidel (c) Ordinary Differential Equations (iv) Simpson's Rule (d) Solution of Systems of Linear Equations
Match the following items(i) Newton-Raphson(a) Integration(ii) Runge-Kutta(b) Root finding(iii) Gauss-Seidel(c) Ordinary Differential Equations(iv) Simpson's Rule(d) Solu...
0 votes
104
FSM
Suppose we have an encoding of a fsm ... 1.is it regular? 2.does the fsm accepts its own encoding ?
Suppose we have an encoding of a fsm ... 1.is it regular? 2.does the fsm accepts its own encoding ?
30 votes
105
GATE CSE 1998 | Question: 1.14
A multiplexer with a $4-bit$ data select input is a $4:1$ multiplexer $2:1$ multiplexer $16:1$ multiplexer $8:1$ multiplexer
A multiplexer with a $4-bit$ data select input is a$4:1$ multiplexer$2:1$ multiplexer$16:1$ multiplexer$8:1$ multiplexer
29 votes
106
GATE CSE 1998 | Question: 1.22
Give the correct matching for the following pairs: ... $\text{A-R B-P C-S D-Q}$ $\text{A-P B-R C-S D-Q}$ $\text{A-P B-S C-R D-Q}$
Give the correct matching for the following pairs: $$\begin{array}{ll|ll}\hline \text{(A)} & \text{$O (\log n)$} & \text{(P)} & \text{Selection} \\\hline \text{(B)} & \t...
22 votes
107
GATE CSE 1998 | Question: 2.8
Which of the following operations is commutative but not associative? AND OR NAND EXOR
Which of the following operations is commutative but not associative?ANDORNANDEXOR
49 votes
109
GATE CSE 2006 | Question: 52
The median of $n$ elements can be found in $O(n)$ time. Which one of the following is correct about the complexity of quick sort, in which median is selected as pivot? $\Theta (n)$ $\Theta (n \log n)$ $\Theta (n^{2})$ $\Theta (n^{3})$
The median of $n$ elements can be found in $O(n)$ time. Which one of the following is correct about the complexity of quick sort, in which median is selected as pivot?$\T...
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