1
GATE CSE 1996
MCQ (Single Correct Answer)
+2
-0.6
A binary search tree is generated by inserting in order the following integers: 50, 15, 62, 5, 20, 58, 91, 3, 8, 37, 60, 24 The number of nodes in the left subtree and right subtree of the root respectively is
A
(4, 7)
B
(7, 4)
C
(8, 3)
D
(8, 3)
2
GATE CSE 1996
MCQ (Single Correct Answer)
+1
-0.3
An advantage of chained hash table (external hashing) over the open addressing scheme is
A
Worst case complexity of search operations is less
B
Space used is less
C
Deletion is easier
D
None of the above
3
GATE CSE 1996
MCQ (More than One Correct Answer)
+2
-0.6
A binary search tree is used to locate the number 43. Which of the following probe sequences are not possible?
A
61 52 14 17 40 43
B
2 3 50 40 60 43
C
10 65 31 48 37 43
D
17 77 27 66 18 43
4
GATE CSE 1996
Subjective
+2
-0

A library relational database system uses the following schema

USERS (User #, User Name, Home Town)

BOOKS (Books # Book Title, Author Name)

ISSUED (Book #, User #, Date)

Explain in one English sentence, what each of the following relational algebra queries is designed to determine.

(a) $$\sigma_{ \text{User#}=6}\left(\pi_{\text{User#, Book Title}}\left(\left(\text{USERS} \bowtie \text{ISSUED}\right) \bowtie \text{BOOKS}\right)\right)$$

(b) $$\pi_{\text{Author Name}}\left(\text{BOOKS} \bowtie \sigma_{\text{Home Town=Delhi}} \left(\text{USERS} \bowtie \text{ISSUED}\right)\right)$$
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