1
GATE CSE 2015 Set 2
+2
-0.6
Which one of the following hash functions on integers will distribute keys most uniformly over $$10$$ buckets numbered $$0$$ to $$9$$ for $$𝑖$$ ranging from $$0$$ to $$2020$$?
A
$$h\left( i \right) = {i^2}\,mod\,\,10$$
B
$$h\left( i \right) = {i^3}\,mod\,\,10$$
C
$$h\left( i \right) = \left( {11 * {i^2}} \right)\,\bmod \,10$$
D
$$h\left( i \right) = \left( {12 * i} \right)\,\bmod \,10$$
2
GATE CSE 2014 Set 3
+2
-0.6
Consider a hash table with 100 slots. Collisions are resolved using chaining. Assuming simple uniform hashing, what is the probability that the first 3 slots are unfilled after the first 3 insertions?
A
97 × 97 × 97)/1003
B
(99 × 98 × 97)/1003
C
(97 × 96 × 95)/1003
D
(97 × 96 × 95)/(3! × 1003)
3
GATE CSE 2014 Set 1
+2
-0.6
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
A
3, 0, and 1
B
3, 3, and 3
C
4, 0, and 1
D
3, 0, and 2
4
GATE CSE 2010
+2
-0.6
A hash table of length 10 uses open addressing with hash function h(k)=k mod 10, and linear probing. After inserting 6 values into an empty hash table, the table is as shown below Which one of the following choices gives a possible order in which the key values could have been inserted in the table?
A
46, 42, 34, 52, 23, 33
B
34, 42, 23, 52, 33, 46
C
46, 34, 42, 23, 52, 33
D
42, 46, 33, 23, 34, 52
GATE CSE Subjects
EXAM MAP
Medical
NEET