1

GATE CSE 2014 Set 3

Numerical

+1

-0

If $$\int_0^{2\pi } {\left| {x\sin x} \right|dx = k\pi ,} $$ then the values of $$k$$ is equal to _________ .

Your input ____

2

GATE CSE 2014 Set 3

MCQ (Single Correct Answer)

+2

-0.6

The value of the integral given below is
$$$\int_0^\pi {{x^2}\,\cos \,x\,dx} $$$

3

GATE CSE 2014 Set 3

Numerical

+2

-0

Suppose you want to move from 0 to 100 on the number line. In each step, you either move right by a unit distance or you take a shortcut. A shortcut is simply a pre specified pair of integers i, j with i < j. Given a shortcut i, j if you are at position i on the number line, you may directly move to j. suppose T(k) denotes the smallest number of steps needed to move from k to 100. Suppose further that there is at most 1 shortcut involving any number, and in particular from 9 there is a shortcut to 15. Let y and z be such that T(9) = 1+ min(T(y),T(z)). Then the value of the product yz is _______.

Your input ____

4

GATE CSE 2014 Set 3

MCQ (Single Correct Answer)

+2

-0.6

Consider the set of all functions $$f:\left\{ {0,\,1,.....,2014} \right\} \to \left\{ {0,\,1,.....,2014} \right\}$$ such that $$f\left( {f\left( i \right)} \right) = i,\,\,\,$$ for all $$0 \le i \le 2014.$$ Consider the following statements:

$$P$$. For each such function it must be the case that for every $$i$$, $$f\left( i \right) = i$$

$$Q$$. For each such function it must be the case that for some $$i$$, $$f\left( i \right) = 1$$

$$R$$. Each such function must be onto.

$$P$$. For each such function it must be the case that for every $$i$$, $$f\left( i \right) = i$$

$$Q$$. For each such function it must be the case that for some $$i$$, $$f\left( i \right) = 1$$

$$R$$. Each such function must be onto.

Which one of the following id CORRECT?

Paper analysis

Total Questions

Algorithms

3

Compiler Design

2

Computer Networks

6

Computer Organization

3

Data Structures

6

Database Management System

5

Digital Logic

4

Discrete Mathematics

14

Operating Systems

4

Programming Languages

2

Software Engineering

1

Theory of Computation

4

More papers of GATE CSE

GATE CSE 2023

GATE CSE 2022

GATE CSE 2021 Set 2

GATE CSE 2021 Set 1

GATE CSE 2020

GATE CSE 2019

GATE CSE 2018

GATE CSE 2017 Set 2

GATE CSE 2017 Set 1

GATE CSE 2016 Set 2

GATE CSE 2016 Set 1

GATE CSE 2015 Set 3

GATE CSE 2015 Set 2

GATE CSE 2015 Set 1

GATE CSE 2014 Set 2

GATE CSE 2014 Set 3

GATE CSE 2014 Set 1

GATE CSE 2013

GATE CSE 2012

GATE CSE 2011

GATE CSE 2010

GATE CSE 2009

GATE CSE 2008

GATE CSE 2007

GATE CSE 2006

GATE CSE 2005

GATE CSE 2004

GATE CSE 2003

GATE CSE 2002

GATE CSE 2001

GATE CSE 2000

GATE CSE 1999

GATE CSE 1998

GATE CSE 1997

GATE CSE 1996

GATE CSE 1995

GATE CSE 1994

GATE CSE 1993

GATE CSE 1992

GATE CSE 1991

GATE CSE 1990

GATE CSE 1989

GATE CSE 1988

GATE CSE 1987

GATE CSE
Papers

2023

2022

2020

2019

2018

2013

2012

2011

2010

2009

2008

2007

2006

2005

2004

2003

2002

2001

2000

1999

1998

1997

1996

1995

1994

1993

1992

1991

1990

1989

1988

1987