List of top Questions asked in GATE AR

Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk.
Based on the given passage, which of the following can be inferred?

Which of the following statements is/are correct?

As per the Census of India 2011, non-notified slums is/are categorised as

Mass Rapid Transit System is a

Which of the following statements is correct for Urban Cool Island (UCI)?

Which of the following statements is/are correct?

Match the Biosphere Reserves in Group-I with their corresponding features in Group-II.

Group I	Group II
(P) Gulf of Mannar	(1) Ridge, Glacier
(Q) Sunderbans	(2) Sub-tropical/Tropical Forest, Stepped Hill
(R) Nanda Devi	(3) Swamp forest, Mangrove
(S) Nilgiri	(4) Coral Reefs, Seagrass bed
	(5) Salt Marsh, Flat Terrain

Match the elements in Group-I with the corresponding buildings in Group-II.

Group I	Group II
(P) Lightweight Structure	(1) Taipei 101, Taipei by Lee and Wang
(Q) Base Isolator	(2) The Gherkin, London by Foster & Partners
(R) Tuned-mass Damper	(3) Museum of New Zealand Te Papa Tongarewa, Wellington by Ivan Mercep
(S) Diagrid	(4) Paper Log Houses, Kobe by Shigeru Ban
	(5) Metropolitan Cathedral of Christ the King, Liverpool by Lutyens and Gibberd

Match the elements in Group-I with the corresponding religious buildings in Group-II.

Group I	Group II
(P) Bell capital	(1) Mosque
(Q) Mehrab	(2) Hindu Temple
(R) Gopuram	(3) Greek Temple
(S) Pediment	(4) Romanesque Church
	(5) Egyptian Temple

Match the features in Group-I with the corresponding software tools in Group-II.

Group I	Group II
(P) Raster Graphics Editing	(1) OpenStudio
(Q) Energy Modeling	(2) GIMP
(R) Visual Programming Interface	(3) STAAD
(S) Chemotropism	(4) Grasshopper
	(5) Radiance

Let \(u=\begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \\ 5 \end{bmatrix}\), and let σ₁, σ₂, σ₃, σ₄, σ₅ be the singular values of the matrix M= uu^T (where u^T is the transpose of u).The value of \(Σ^{5}_{i=1}σ_i\) is

Consider a joint probability density function of two random variables X and Y
\(f_{x,y}(x,y) = \left\{ \begin{array}{ll} 2xy, & 0\lt x \lt2 , & 0\lt y\lt x\\ 0 & \text{otherwise } \end{array} \right.\)
Then, E[Y | X = 1.5] is ______.

Consider the two neural networks (NNs) shown in Figures 1 and 2, with ReLU activation (ReLU(z) = max{0, z}, ∀z ∈ R). R denotes the set of real numbers. The connections and their corresponding weights are shown in the Figures. The biases at every neuron are set to 0. For what values of p, q, r in Figure 2 are the two NNs equivalent, when x₁, x₂, x₃ are positive ?

Consider the following two tables named Raider and Team in a relational database maintained by a Kabaddi league. The attribute ID in table Team references the primary key of the Raider table, ID.

Raider
ID	Name	Raids	RaidPoints
1	Arjun	200	250
2	Ankush	190	219
3	Sunil	150	200
4	Reza	150	190
5	Pratham	175	220
6	Gopal	193	215

Team
City	ID	BidPoints
Jaipur	2	200
Patna	3	195
Hyderabad	5	175
Jaipur	1	250
Patna	4	200
Jaipur	6	200

The SQL query described below is executed on this database :
SELECT *
FROM Raider, Team WHERE Raider.ID=Team.ID AND City="Jaipur" AND
RaidPoints > 200;
The number of rows returned by this query is ______.

The fundamental operations in a double-ended queue D are :
insertFirst (e) - Insert a new element e at the beginning of D.
insertLast (e) - Insert a new element e at the end of D.
removeFirst () - Remove and return the first element of D.
removeLast () - Remove and return the last element of D.
In an empty double-ended queue, the following operations are performed :
insertFirst (10)
insertLast (32)
a ← removeFirst()
insertLast (28)
insertLast (17)
a ←removeFirst()
a ← removeLast ()
The value of a is _______.

Details of ten international cricket games between two teams "Green" and "Blue" are given in Table C. This table consists of matches played on different pitches, across formats along with their winners. The attribute Pitch can take one of two values: spin-friendly (represented as S) or pace-friendly (represented as F). The attribute Format can take one of two values: one-day match (represented as 0) or test match (represented as T).
A cricket organization would like to use the information given in Table C to develop a decision-tree model to predict outcomes of future games between these two teams.
To develop such a model, the computed InformationGain(C, Pitch) with respect to the Target is ______ (rounded off to two decimal places).
Table C

Match Number	Pitch	Format	Winner (Target)
1	S	T	Green
2	S	T	Blue
3	F	O	Blue
4	S	O	Blue
5	F	T	Green
6	F	O	Blue
7	S	O	Green
8	F	T	Blue
9	F	O	Blue
10	S	O	Green

Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables :

	P(.)
U = 0	0.5
U = 1	0.5

	P(V = 0\| .)	P(V = 1\| .)
U = 0	0.5	0.5
U = 1	0.5	0.5
	P(W = 0\| .)	P(W = 1\| .)
U = 0	1	0
U = 1	0	1

		P(Z = 0\| .)	P(Z = 1\| .)
V = 0	W = 0	0.5	0.5
V = 0	W = 1	1	0
V = 1	W = 0	1	0
V = 1	W = 1	0.5	0.5

The value of P(U = 1, V = 1, W = 1,Z= 1) = ______. (rounded off to three decimal places)

Given the two-dimensional dataset consisting of 5 data points from two classes (circles and squares) and assume that the Euclidean distance is used to measure the distance between two points. The minimum odd value of k in k-nearest neighbor algorithm for which the diamond (◊) shaped data point is assigned the label square is ________.

Consider two events T and S. Let \(\bar{T}\) denote the complement of the event T. The probability associated with different events are given as follows :
P(\(\bar{T}\)) = 0.6, P(S|T) = 0.3, P(SI\(\bar{T}\)) = 0.6
Then, P(TIS) is ______
(rounded off to two decimal places)

Consider the following figures representing datasets consisting of two-dimensional features with two classes denoted by circles and squares.

Which of the following is/are TRUE ?