1
GATE CSE 2022
+1
-0.33

Suppose we are given n keys, m has table slots, and two simple uniform hash functions h1 and h2. Further suppose our hashing scheme uses h1 for the odd keys and h2 for the even keys. What is the expected number of keys in a slot?

A
$${m \over n}$$
B
$${n \over m}$$
C
$${2n \over m}$$
D
$${n \over 2m}$$
2
GATE CSE 2022
Numerical
+1
-0.33

Suppose a binary search tree with 1000 distinct elements is also a complete binary tree. The tree is stored using the array representation of binary heap trees. Assuming that the array indices start with 0, the 3rd largest element of the tree is stored at index ___________.

3
GATE CSE 2022
Numerical
+1
-0.33

Consider the queues Q1 containing four elements and Q2 containing none (shown as the Initial State in the figure). The only operations allowed on these two queues are Enqueue (Q, element) and Dequeue (Q). The minimum number of Enqueue operations on Q1 required to place the elements of Q1 in Q2 in reverse order (shown as the Final State in the figure) without using any additional storage is ______________.

4
GATE CSE 2022
+1
-0.33

In a relational data model, which one of the following statements is TRUE?

A
A relation with only two attributes is always in BCNF.
B
If all attributes of a relation are prime attributes, then the relation is in BCNF.
C
Every relation has at least one non-prime attribute.
D
BCNF decompositions preserve functional dependencies.
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