List of top Data Science and Artificial Intelligence Questions asked in GATE AR

Consider performing depth-first search (DFS) on an undirected and unweighted graph G starting at vertex s. For any vertex u in G, d[u] is the length of the shortest path from s to u. Let (u, v) be an edge in G such that d[u] < d[v]. If the edge (u, v) is explored first in the direction from u to v during the above DFS, then (u, v) becomes a _____ edge.
Match the items in Column 1 with the items in Column 2 in the following table :
Column 1Column 2
(p)Principal Component Analysis(i)Discriminative Model
(q)Naïve Bayes Classification(ii)Dimensionality Reduction
(r)Logistic Regression(iii)Generative Model
Consider the following statements :
(i) The mean and variance of a Poisson random variable are equal.
(ii) For a standard normal random variable, the mean is zero and the variance is one.
Which ONE of the following options is correct ?
Three fair coins are tossed independently. T is the event that two or more tosses result in heads. S is the event that two or more tosses result in tails. What is the probability of the event T ∩ S?
Consider the matrix \(M=\begin{bmatrix} 2 & -1 \\ 3 & 1 \end{bmatrix}\).
Which ONE of the following statements is TRUE ?
R(UVWXYZ)
Which FD can be determined from the above FD Set
Which FD can be determined from the above FD Set?
How many 4 digit numbers can be formed using digit 1, 3, 4, 6, 7 but it should be divisible by 3.
Find the sum of 2 + \(\frac{1}{2}\)+ \(\frac{1}{3}\) + \(\frac{1}{4}\) + \(\frac{1}{8}\)+ \(\frac{1}{9}\) + \(\frac{1}{16}\) +\(\frac{1}{27}\).
Solve the following query:
from reader,team
What is the minimum number of comparison in place quicksort of 60 70 80 90 100 pivot is the last element?
Which algorithm sort the array in exactly using 2 swap [4,3,2,1,5]?
Match the following:
List IList II
1FIFOaStack
2Look up op.bQueue
3Last-In first outcHash table
When 3 coins are tossed,what is the prob of getting 2 heads 1 tail intersection 2 tails one head?
Find P(TIS) if P(T') = 0.6 P(SIT)=0.3 P(S(T')=0.3
A die is thrown repeatedly. Expected number of throws required until two consecutive throws shows an even number____.
Find P(\(\frac{T}{S}\)) If P(T')=0.6P(SIT)=0.3 P (S(T'))=0.3
If the probability of having boy or girl 0.3, what is probability of getting 2 girls 1 boy?

f(x) =λe-λx , x>= 0, λ>0 ,5E[x] = v(x), Find the value of λ.