ExamSIDE
Questions
ExamSIDE.Com
Discrete Mathematics
Mathematical Logic
Probability
Set Theory & Algebra
Combinatorics
Linear Algebra
Graph Theory
Calculus
Joint Entrance Examination
JEE Main
Chemistry
Physics
Mathematics
JEE Advanced
Physics
Chemistry
Mathematics
WB JEE
Physics
Chemistry
Mathematics
Graduate Aptitude Test in Engineering
GATE CSE
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
GATE ECE
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics
GATE EE
Electric Circuits
Electromagnetic Fields
Signals and Systems
Electrical Machines
Engineering Mathematics
General Aptitude
Power System Analysis
Electrical and Electronics Measurement
Analog Electronics
Control Systems
Power Electronics
Digital Electronics
GATE ME
Engineering Mechanics
Strength of Materials
Theory of Machines
Engineering Mathematics
Machine Design
Fluid Mechanics
Turbo Machinery
Heat Transfer
Thermodynamics
Production Engineering
Industrial Engineering
General Aptitude
GATE CE
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Hydrology
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude
GATE PI
Fluid Mechanics
Metrology
Theory of Machines
Engineering Mathematics
Heat Transfer
Machine Tools and Machining
Industrial Engineering
Engineering Mechanics
Strength of Materials
Thermodynamics
Machine Design
Casting
Joining of Materials
Metal Forming
GATE IN
Engineering Mathematics
Medical
NEET
Biology
Chemistry
Physics
NEW
New Website Launch
Experience the best way to solve previous year questions with
mock tests
(very detailed analysis),
bookmark your favourite questions
,
practice
etc...
VISIT NOW
GATE CSE
Combinatorics
Discrete Mathematics
Previous Years Questions
START HERE
Marks 1
More
The number of arrangements of six identical balls in three identical bins is ___________.
GATE CSE 2022
GO TO QUESTION
The number of $$4$$ digit numbers having their digits in non-decreasing order (from left to right) constructed by using ...
GATE CSE 2015 Set 3
GO TO QUESTION
The recurrence relation capturing the optional execution time of the Towers of Hanoi problem with $$n$$ discs is
GATE CSE 2012
GO TO QUESTION
In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures ...
GATE CSE 2004
GO TO QUESTION
$$m$$ identical balls are to be placed in $$n$$ distinct bags. You are given that $$m \ge kn$$, where $$k$$ is a natural...
GATE CSE 2003
GO TO QUESTION
$$n$$ couples are invited to a party with the condition that every husband should be accompanied by his wife. However, ...
GATE CSE 2003
GO TO QUESTION
Let $$A$$ be a sequence of $$8$$ distinct integers sorted in ascending order. How many distinct pairs of sequence, $$B$$...
GATE CSE 2003
GO TO QUESTION
The minimum number of colors required to color the vertices of a cycle with $$n$$ nodes in such a way that no two adjace...
GATE CSE 2002
GO TO QUESTION
The solution to the recurrence equation $$T\left( {{2^k}} \right)$$ $$ = 3T\left( {{2^{k - 1}}} \right) + 1$$, $$T\lef...
GATE CSE 2000
GO TO QUESTION
The minimum number of cards to be dealt from an arbitrarily shuffled deck of 52 cards to guarantee that three cards are ...
GATE CSE 2000
GO TO QUESTION
The number of binary strings of $$n$$ zeros and $$k$$ ones such that no two ones are adjacent is:
GATE CSE 1999
GO TO QUESTION
Marks 2
More
There are 6 jobs with distinct difficulty levels, and 3 computers with distinct processing speeds. Each job is assigned ...
GATE CSE 2021 Set 1
GO TO QUESTION
The number of permutations of the characters in LILAC so that no character appears in its original position, if the two ...
GATE CSE 2020
GO TO QUESTION
The coefficient of $${x^{12}}$$ in $${\left( {{x^3} + {x^4} + {x^5} + {x^6} + ...} \right)^3}\,\,\,\,\,\,$$ is _________...
GATE CSE 2016 Set 1
GO TO QUESTION
The number of distinct positive integral factors of 2014 is _______ .
GATE CSE 2014 Set 2
GO TO QUESTION
A pennant is a sequence of numbers, each number being 1 or 2. An n-pennant is a sequence of numbers with sum equal to n....
GATE CSE 2014 Set 1
GO TO QUESTION
There are 5 bags labeled 1 to 5. All the coins in given bag have the same weight. Some bags have coins of weight 10 gm, ...
GATE CSE 2014 Set 1
GO TO QUESTION
When $$n = {2^{2k}}$$ for some $$k \ge 0$$, the recurrence relation $$$T\left( n \right) = \sqrt 2 T\left( {n/2} \right...
GATE CSE 2008
GO TO QUESTION
In how many ways can $$b$$ blue balls and $$r$$ red balls be distributed in $$n$$ distinct boxes?
GATE CSE 2008
GO TO QUESTION
The exponent of $$11$$ in the prime factorization of $$300!$$ is
GATE CSE 2008
GO TO QUESTION
Let $${x_n}$$ denote the number of binary strings of length $$n$$ that contains no consecutive $$0s$$. Which of the foll...
GATE CSE 2008
GO TO QUESTION
Let $${x_n}$$ denote the number of binary strings of length $$n$$ that contain no consecutive $$0s$$. The value of $${x_...
GATE CSE 2008
GO TO QUESTION
Suppose that a robot is placed on the Cartesian plane. At each step it is allowed to move either one unit up or one unit...
GATE CSE 2007
GO TO QUESTION
Suppose that a robot is placed on the Cartesian plane. At each step it is allowed to move either one unit up or one unit...
GATE CSE 2007
GO TO QUESTION
What is the cardinality of the set of integers $$X$$ defined below? $$X = $$ {$$n\left| {1 \le n \le 123,\,\,\,\,\,n} \r...
GATE CSE 2006
GO TO QUESTION
For each elements in a set of size $$2n$$, an unbiased coin in tossed. The $$2n$$ coin tosses are independent. An elemen...
GATE CSE 2006
GO TO QUESTION
Consider the polynomial $$P\left( x \right) = {a_0} + {a_1}x + {a_2}{x^2} + {a_3}{x^3},$$ where $${a_i} \ne 0,\forall i...
GATE CSE 2006
GO TO QUESTION
Let $$n = {p^2}q,$$ where $$p$$ and $$q$$ are distinct prime numbers. How many numbers $$m$$ satisfy $$1 \le m \le n$$ a...
GATE CSE 2005
GO TO QUESTION
Let $$G\left( x \right) = 1/\left( {1 - x} \right)2 = \sum\limits_{i = 0}^\infty {g\left( i \right)\,{x^1}} \,\,\,,$$ ...
GATE CSE 2005
GO TO QUESTION
What is the minimum number of ordered pairs of non-negative numbers that should be chosen to ensure that there are two p...
GATE CSE 2005
GO TO QUESTION
The recurrence equation $$\,\,\,\,\,\,\,T\left( 1 \right) = 1$$ $$\,\,\,\,\,\,T\left( n \right) = 2T\left( {n - 1} \rig...
GATE CSE 2004
GO TO QUESTION
In how many ways can we distribute 5 distinct balls, $${B_1},{B_2},......,{B_5}$$ in 5 distinct cells, $${C_1},{C_2},......
GATE CSE 2004
GO TO QUESTION
Mala has a colouring book in which each English letter is drawn two times. She wants to paint each of these 52 prints wi...
GATE CSE 2004
GO TO QUESTION
How many 4 digit even numbers have all 4 digits distinct?
GATE CSE 2001
GO TO QUESTION
Two girls have picked 10 roses, 15 sunflowers and 14 daffodils. What is the number of ways they can divide the flowers a...
GATE CSE 1999
GO TO QUESTION
Solve the following recurrence relation $$\,\,\,\,\,\,\,{x_n} = 2{x_{n - 1}} - 1\,\,n > 1$$ $$\,\,\,\,\,\,\,{x_1} = ...
GATE CSE 1998
GO TO QUESTION
In a room containing 28 people, there are 18 people who speak English, 15 people who speak Hindi and 22 people who speak...
GATE CSE 1998
GO TO QUESTION
The recurrence relation $$\,\,\,\,\,$$ $$T\left( 1 \right) = 2$$ $$T\left( n \right) = 3T\left( {{n \over 4}} \right)...
GATE CSE 1996
GO TO QUESTION
The number of substrings (of all length inclusive) that can be formed from a character string of length $$n$$ is
GATE CSE 1994
GO TO QUESTION
How many sub strings can be formed from a character string of length $$n$$?
GATE CSE 1989
GO TO QUESTION
Solve the recurrence equations: $$\,\,\,\,\,\,\,\,\,\,T\left( n \right) = \left( {{n \over 2}} \right) + 1$$ $$\,\,\,\,...
GATE CSE 1988
GO TO QUESTION
(a) Solve the recurrence equations $$\,\,\,\,\,\,\,\,\,T\left( n \right) = T\left( {n - 1} \right) + n$$ $$\,\,\,\,\,\,...
GATE CSE 1987
GO TO QUESTION
Joint Entrance Examination
JEE Main
JEE Advanced
WB JEE
Graduate Aptitude Test in Engineering
GATE CSE
GATE ECE
GATE EE
GATE ME
GATE CE
GATE PI
GATE IN
Medical
NEET
CBSE
Class 12