Exams › GATE › Technical

Suppose we are given n keys, m hash 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?

1. m / n
2. n / m
3. 2n / m
4. n / 2m

Correct answer: n / m

Solution

The expected number of keys in a slot is calculated by dividing the total number of keys (n) by the number of slots (m). Since the hashing functions distribute keys uniformly across the slots, this results in an average of n/m keys per slot.

Related GATE Technical questions

• Which one of the following regular expressions correctly represents the language of the finite automaton given below?
• Which one of the following statements is TRUE?
• In a relational data model, which one of the following statements is TRUE?
• Consider the problem of reversing a singly linked list. To take an example, given the linked list below, head -> a -> b -> c -> d -> e -> NULL, the reversed linked list should look like head -> e -> d -> c -> b -> a -> NULL. Which one of the following statements is TRUE about the time complexity of algorithms that solve the above problem in O(1) space?
• Which one of the following facilitates transfer of bulk data from hard disk to main memory with the highest throughput?
• Let R1 and R2 be two 4-bit registers that store numbers in 2’s complement form. For the operation R1+R2, which one of the following values of R1 and R2 gives an arithmetic overflow?

⚔️ Practice GATE Technical free + battle 1v1 →