Recent activity by lambda / GATE Overflow for GATE CSE

5 answers

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GATE CSE 1987 | Question: 2c
State whether the following statements are TRUE or FALSE: It is possible to construct a binary tree uniquely whose pre-order and post-order traversals are given?

State whether the following statements are TRUE or FALSE:It is possible to construct a binary tree uniquely whose pre-order and post-order traversals are given?

6.5k views

answered Apr 17, 2018

3 answers

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GATE CSE 1987 | Question: 6a
A list of $n$ elements is commonly written as a sequence of $n$ elements enclosed in a pair of square brackets. For example. $[10, 20, 30]$ is a list of three elements and $[]$ is a nil list. Five functions are defined below: $car (l)$ returns the first element of its argument ... $f ([32, 16, 8], [9, 11, 12])$ $g ([5, 1, 8, 9])$

A list of $n$ elements is commonly written as a sequence of $n$ elements enclosed in a pair of square brackets. For example. $[10, 20, 30]$ is a list of three elements an...

2.9k views

answered Apr 14, 2018

3 answers

3

GATE CSE 1987 | Question: 16-a
A Boolean function $f$ is to be realized only by $\text{NOR}$ gates. Its $K$-map is given below: The realization is

A Boolean function $f$ is to be realized only by $\text{NOR}$ gates. Its $K$-map is given below:The realization is

4.2k views

answered Mar 28, 2018

11 answers

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GATE IT 2004 | Question: 35
In how many ways can we distribute $5$ distinct balls, $B_1, B_2, \ldots, B_5$ in $5$ distinct cells, $C_1, C_2, \ldots, C_5$ such that Ball $B_i$ is not in cell $C_i$, $\forall i= 1,2,\ldots 5$ and each cell contains exactly one ball? $44$ $96$ $120$ $3125$

In how many ways can we distribute $5$ distinct balls, $B_1, B_2, \ldots, B_5$ in $5$ distinct cells, $C_1, C_2, \ldots, C_5$ such that Ball $B_i$ is not in cell $C_i$, $...

11.5k views

comment edited Jan 30, 2018

6 answers

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GATE CSE 2007 | Question: 32
Let $f(w, x, y, z) = \sum {\left(0,4,5,7,8,9,13,15\right)}$. Which of the following expressions are NOT equivalent to $f$? P: $x'y'z' + w'xy' + wy'z + xz$ Q: $w'y'z' + wx'y' + xz$ ... $x'y'z' + wx'y'+ w'y$ P only Q and S R and S S only

Let $f(w, x, y, z) = \sum {\left(0,4,5,7,8,9,13,15\right)}$. Which of the following expressions are NOT equivalent to $f$?P: $x'y'z' + w'xy' + wy'z + xz$Q: $w'y'z' + wx'y...

10.4k views

commented Jan 27, 2018

5 answers

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GATE CSE 2007 | Question: 8, ISRO2011-31
How many $3$-to-$8$ line decoders with an enable input are needed to construct a $6$-to-$64$ line decoder without using any other logic gates? $7$ $8$ $9$ $10$

How many $3$-to-$8$ line decoders with an enable input are needed to construct a $6$-to-$64$ line decoder without using any other logic gates?$7$$8$$9$$10$

21.3k views

commented Jan 26, 2018

4 answers

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GATE CSE 2006 | Question: 57
Consider this C code to swap two integers and these five statements: the code void swap (int *px, int *py) { *px = *px - *py; *py = *px + *py; *px = *py - *px; } S1: will generate a compilation error S2: may generate a ... procedure correctly for some but not all valid input pointers S5: may add or subtract integers and pointers S1 S2 and S3 S2 and S4 S2 and S5

Consider this C code to swap two integers and these five statements: the codevoid swap (int *px, int *py) { *px = *px - *py; *py = *px + *py; *px = *py - *px; }S1...

21.0k views

commented Jan 10, 2018

9 answers

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GATE CSE 2006 | Question: 25
Let $S = \{1, 2, 3,\ldots, m\}, m >3.$ Let $X_1,\ldots,X_n$ be subsets of $S$ each of size $3.$ Define a function $f$ from $S$ to the set of natural numbers as, $f(i)$ is the number of sets $X_j$ that contain the element $i.$ That is $f(i)=\left | \left\{j \mid i\in X_j \right\} \right|$ then $ \sum_{i=1}^{m} f(i)$ is: $3m$ $3n$ $2m+1$ $2n+1$

Let $S = \{1, 2, 3,\ldots, m\}, m >3.$ Let $X_1,\ldots,X_n$ be subsets of $S$ each of size $3.$ Define a function $f$ from $S$ to the set of natural numbers as, $f(i)$ is...

11.1k views

comment edited Jan 10, 2018

4 answers

9

GATE CSE 2005 | Question: 46
Consider the set $H$ of all $3 * 3$ matrices of the type $\left( \begin{array}{ccc} a & f & e \\ 0 & b & d \\ 0 & 0 & c \end{array} \right)$ where $a,b,c,d,e$ and $f$ ... the matrix multiplication operation, the set $H$ is: a group a monoid but not a group a semi group but not a monoid neither a group nor a semi group

Consider the set $H$ of all $3 * 3$ matrices of the type $$\left( \begin{array}{ccc} a & f & e \\ 0 & b & d \\ 0 & 0 & c \end{array} \right)$$ where $a,b,c,d,e$ and $f$ a...

7.6k views

commented Jan 7, 2018

12 answers

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GATE CSE 2003 | Question: 64
Let S be a stack of size $n \geq1$. Starting with the empty stack, suppose we push the first n natural numbers in sequence, and then perform $n$ pop operations. Assume that Push and Pop operations take $X$ seconds each, and $Y$ seconds elapse between the end of one such ... S. The average stack-life of an element of this stack is $n(X+Y)$ $3Y+2X$ $n(X+Y)-X$ $Y+2X$

Let S be a stack of size $n \geq1$. Starting with the empty stack, suppose we push the first n natural numbers in sequence, and then perform $n$ pop operations. Assume th...

31.1k views

commented Jan 3, 2018

7 answers

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GATE IT 2007 | Question: 43
An error correcting code has the following code words: $00000000, 00001111, 01010101, 10101010, 11110000$. What is the maximum number of bit errors that can be corrected? $0$ $1$ $2$ $3$

An error correcting code has the following code words: $00000000, 00001111, 01010101, 10101010, 11110000$. What is the maximum number of bit errors that can be corrected?...

25.7k views

answer edited Dec 23, 2017

3 answers

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GATE IT 2004 | Question: 32
Let $A$ be an $n \times n$ ...

Let $A$ be an $n \times n$ matrix of the following form.$$A = \begin{bmatrix}3&1&0&0&0&\ldots&0&0&0\\1&3&1&0&0&\ldots&0&0&0\\0&1&3&1&0&\ldots&0&0&0\\0&0&1&3&1&\ldots&0&0&...

8.0k views

answered Dec 22, 2017

4 answers

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GATE IT 2005 | Question: 83b
Consider the context-free grammar $E\rightarrow E+E$ $E\rightarrow (E *E)$ $E\rightarrow \text{id}$ where $E$ is the starting symbol, the set of terminals is $\{id, (,+,),*\}$, and the set of non-terminals is $\{E\}$. For the terminal string $id + id + id + id$, how many parse trees are possible? $5$ $4$ $3$ $2$

Consider the context-free grammar$E\rightarrow E+E$$E\rightarrow (E *E)$$E\rightarrow \text{id}$where $E$ is the starting symbol, the set of terminals is $\{id, (,+,),*\}...

6.9k views

answered Dec 19, 2017

2 answers

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GATE IT 2008 | Question: 8
Consider the following Boolean function of four variables $f(A, B, C, D) = Σ(2, 3, 6, 7, 8, 9, 10, 11, 12, 13)$ The function is independent of one variable independent of two variables independent of three variable dependent on all the variables

Consider the following Boolean function of four variables$f(A, B, C, D) = Σ(2, 3, 6, 7, 8, 9, 10, 11, 12, 13)$The function isindependent of one variableindependent of tw...

6.4k views

commented Dec 6, 2017

5 answers

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GATE CSE 2016 Set 2 | Question: 02
Let $f(x)$ be a polynomial and $g(x)=f'(x)$ be its derivative. If the degree of $(f(x)+f(-x))$ is $10$, then the degree of $(g(x) - g(-x))$ is __________.

Let $f(x)$ be a polynomial and $g(x)=f'(x)$ be its derivative. If the degree of $(f(x)+f(-x))$ is $10$, then the degree of $(g(x) - g(-x))$ is __________.

10.5k views

comment edited Dec 4, 2017

7 answers

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GATE CSE 2004 | Question: 51
Consider the relation Student (name, sex, marks), where the primary key is shown underlined, pertaining to students in a class that has at least one boy and one girl. What does the following relational algebra expression produce? (Note: $\rho$ ... of girl students with marks not less than some boy student names of girl students with more marks than all the boy students

Consider the relation Student (name, sex, marks), where the primary key is shown underlined, pertaining to students in a class that has at least one boy and one girl. Wha...

17.9k views

commented Nov 21, 2017

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