Exams › GATE › Technical

Consider a hash table with 9 slots. The hash function is h(k) = k mod 9. The collisions are resolved by chaining. The following 9 keys are inserted in the order: 5, 28, 19, 15, 20, 33, 12, 17, 10. The maximum, minimum, and average chain lengths in the hash table, respectively, are

1. 3, 0, and 1
2. 3, 3, and 3
3. 4, 0, and 1
4. 3, 0, and 2

Correct answer: 3, 0, and 1

Solution

The maximum chain length is 3 because the keys 5, 15, and 33 all hash to the same slot, creating the longest chain. The minimum chain length is 0 since some slots remain empty after all insertions. The average chain length is 1, calculated by dividing the total number of keys by the number of non-empty slots.

Related GATE Technical questions

• Let G = (V,E) be a directed graph where V is the set of vertices and E the set of edges. Then which one of the following graphs has the same strongly connected components as G ?
• Consider the following program in C language: #include <stdio.h> main() { int i; int *pi = &i; scanf("%d", pi); printf("%d ", i+5); } Which one of the following statements is TRUE?
• Let G be a graph with n vertices and m edges. What is the tightest upper bound on the running time of Depth First Search on G, when G is represented as an adjacency matrix?
• Let P be a quicksort program to sort numbers in ascending order using the first element as the pivot. Let t1 and t2 be the number of comparisons made by P for the inputs [1 2 3 4 5] and [4 1 5 3 2] respectively. Which one of the following holds?
• Which one of the following is TRUE ?
• Match the following: 1) Waterfall model 2) Evolutionary model 3) Component-based software engineering 4) Spiral development a) Specifications can be developed incrementally b) Requirements compromises are inevitable c) Explicit recognition of risk d) Inflexible partitioning of the project into stages

⚔️ Practice GATE Technical free + battle 1v1 →