1
GATE CSE 2024 Set 1
MCQ (Single Correct Answer)
+2
-0.66

Consider a binary min-heap containing 105 distinct elements. Let k be the index (in the underlying array) of the maximum element stored in the heap. The number of possible values of k is

A

53

B

52

C

27

D

1

2
GATE CSE 2024 Set 1
MCQ (More than One Correct Answer)
+2
-0

Let G be a directed graph and T a depth first search (DFS) spanning tree in G that is rooted at a vertex v. Suppose T is also a breadth first search (BFS) tree in G, rooted at v. Which of the following statements is/are TRUE for every such graph G and tree T?

A

There are no back-edges in G with respect to the tree T

B

There are no cross-edges in G with respect to the tree T

C

There are no forward-edges in G with respect to the tree T

D

The only edges in G are the edges in T

3
GATE CSE 2024 Set 1
MCQ (Single Correct Answer)
+1
-0.33

Let S be the specification : "Instructors teach courses. Students register for courses. Courses are allocated classrooms. Instructors guide students." Which one of the following ER diagrams CORRECTLY represents S?

GATE CSE 2024 Set 1 Database Management System - Er Diagrams Question 2 English 1 GATE CSE 2024 Set 1 Database Management System - Er Diagrams Question 2 English 2

A

(i)

B

(ii)

C

(iii)

D

(iv)

4
GATE CSE 2024 Set 1
MCQ (Single Correct Answer)
+1
-0.33

In a B+ tree, the requirement of at least half-full (50%) node occupancy is relaxed for which one of the following cases?

A

Only the root node

B

All leaf nodes

C

All internal nodes

D

Only the leftmost leaf node

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