1

GATE CSE 2020

Numerical

+2

-0.67

Consider the array representation of a binary min-heap containing 1023 elements. The minimum number of comparisons required to find the maximum in the heap is _______.

Your input ____

2

GATE CSE 2019

Numerical

+2

-0.67

Let T be a full binary tree with 8 leaves. (A full binary tree has every level full). Suppose two leaves a and b of T are chosen uniformly and independently at random. The expected value of the distance between a and b in T (i.e., the number of edges in the unique path between a and b) is (rounded off to 2 decimal places) _____.

Your input ____

3

GATE CSE 2016 Set 2

MCQ (Single Correct Answer)

+2

-0.6

Consider the following $$New-order$$ strategy for traversing a binary tree:

$$\,\,\,\,\,\,\, \bullet \,\,\,\,\,$$ Visit the root;

$$\,\,\,\,\,\,\, \bullet \,\,\,\,\,$$ Visit the right subtree using $$New-order;$$

$$\,\,\,\,\,\,\, \bullet \,\,\,\,\,$$ Visit the left subtree using $$New-order;$$

The New-order traversal of the expression tree corresponding to the reverse polish expression 3 4 * 5 - 2 ^ 6 7 * 1 + - is given by:

4

GATE CSE 2016 Set 2

Numerical

+2

-0

The number of ways in which the numbers $$1, 2, 3, 4, 5, 6, 7$$ can be inserted in an empty binary search tree, such that the resulting tree has height $$6,$$ is _____________.

$$Note:\,\,\,The\,\,height\,\,of\,\,a\,tree\,\,with\,\,a\,\,\sin gle\,\,node\,\,is\,\,0$$

Your input ____

Questions Asked from Trees (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2021 Set 1 (2)
GATE CSE 2020 (2)
GATE CSE 2019 (1)
GATE CSE 2016 Set 2 (2)
GATE CSE 2014 Set 2 (1)
GATE CSE 2014 Set 3 (3)
GATE CSE 2012 (1)
GATE CSE 2011 (1)
GATE CSE 2009 (1)
GATE CSE 2008 (5)
GATE CSE 2007 (4)
GATE CSE 2006 (5)
GATE CSE 2005 (6)
GATE CSE 2004 (3)
GATE CSE 2002 (1)
GATE CSE 2000 (1)
GATE CSE 1998 (1)
GATE CSE 1997 (1)
GATE CSE 1996 (2)
GATE CSE 1991 (1)

GATE CSE Subjects

Discrete Mathematics

Programming Languages

Theory of Computation

Operating Systems

Computer Organization

Database Management System

Data Structures

Computer Networks

Algorithms

Compiler Design

Software Engineering

Web Technologies

General Aptitude