Gate 2019
Q.1
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The fishermen, the flood victims owed their
lives, were rewarded by the government.
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(A) whom
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(B) to which
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(C) to whom
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(D) that
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Q.2
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Some students were not involved in the strike.
If the above statement is
true, which of the following conclusions is/are logically necessary?
1.
Some who were involved in the strike were students.
2.
No student was involved in the strike.
3.
At least one student was involved in the strike.
4.
Some who were not involved in the strike were students.
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(A)
1 and 2
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(B) 3
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(C) 4
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(D)
2 and 3
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Q.3
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The radius as well as the height of a circular
cone increases by 10%. The percentage
increase in its volume
is .
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|||
(A)
17.1
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(B) 21.0
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(C) 33.1
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(D) 72.8
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Volume of cone = πr²h/3
New radius = 11r/10
new height = 11h/10
So new V = π(11r/10)²)(11h/10)(1/3)
= π(121r/100)(11h/10)(1/3)
= π 1331rh/3000
Percentage increase = (New volume/Old volume * 100) -100
= (π/3 * 3/π *1331/1000 * rh/rh * 100) -100
= (1331/1000 * 100) -100
= 133.1 -100
= 33.1%
New radius = 11r/10
new height = 11h/10
So new V = π(11r/10)²)(11h/10)(1/3)
= π(121r/100)(11h/10)(1/3)
= π 1331rh/3000
Percentage increase = (New volume/Old volume * 100) -100
= (π/3 * 3/π *1331/1000 * rh/rh * 100) -100
= (1331/1000 * 100) -100
= 133.1 -100
= 33.1%
Q.4
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Five numbers 10, 7, 5, 4
and 2 are to be arranged in a sequence from left to right following the
directions given below:
1. No two odd or
even numbers are next to each other.
2. The second
number from the left is exactly half of the left-most number.
3. The middle number
is exactly twice the right-most number.
Which is the second number
from the right?
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(A) 2
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(B) 4
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(C) 7
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(D) 10
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Q.5
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Until Iran came along,
India had never been in
kabaddi.
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(A) defeated
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(B) defeating
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(C) defeat
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(D) defeatist
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Q. 6 – Q. 10
carry two marks each.
Q.6
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Since the last
one year, after a 125 basis point reduction in repo rate by the Reserve Bank
of India, banking institutions have been making a demand to reduce interest
rates on small saving schemes. Finally, the government announced yesterday a
reduction in interest rates on small saving schemes to bring them on par with
fixed deposit interest rates.
Which one of
the following statements can be inferred from the given passage?
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(A) Whenever the Reserve Bank of India reduces the
repo rate, the interest rates on small saving schemes are also reduced
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(B) Interest rates on small saving schemes are
always maintained on par with fixed deposit interest rates
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(C) The government sometimes takes into
consideration the demands of banking institutions before reducing the
interest rates on small saving schemes
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(D) A reduction in interest rates on small saving schemes follow only
after a reduction in repo rate by the Reserve Bank of India
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Q.7
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In a country of
1400 million population, 70% own mobile phones. Among the mobile phone
owners, only 294 million access the Internet. Among these Internet users,
only half buy goods from e-commerce portals. What is the percentage of these
buyers in the country?
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||||||
(A) 10.50
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(B)
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14.70
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(C)
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15.00
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(D)
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50.00
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Q.8
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The
nomenclature of Hindustani music has changed over the centuries. Since the
medieval period dhrupad styles were
identified as baanis. Terms like gayaki and baaj were used to refer to vocal and instrumental styles,
respectively. With the institutionalization of music education the term gharana became acceptable. Gharana originally referred to
hereditary musicians from a particular lineage, including disciples and grand
disciples.
Which one of
the following pairings is NOT correct?
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(A) dhrupad,
baani
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(B) gayaki,
vocal
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(C) baaj, institution
(D) gharana, lineage
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Q.9
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Two
trains started at 7AM from the same point. The first train travelled north at
a speed of 80km/h and the second train travelled south at a speed of 100
km/h. The time at which they were 540 km apart is AM.
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(A) 9
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(B) 10
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(C) 11
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(D) 11.30
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Q.10
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“I read
somewhere that in ancient times the prestige of a kingdom depended upon the
number of taxes that it was able to levy on its people. It was very much like the prestige of a
head-hunter in his own community.”
Based on the paragraph above, the prestige of a head-hunter depended upon
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(A) the prestige of the kingdom
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(B) the prestige of the heads
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(C) the number of taxes he could levy
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(D) the number of heads he could gather
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Q.1
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Which of the following commands in AUTOCAD
is used to create 3D solid between
various cross sections?
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(A) LOFT
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(B) MESH
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(C) XEDGES
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(D) PFACE
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Q.5
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In a mono-centric urban model, land rent is
expected to
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(A) diminish as one moves
towards the center
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(B) diminish as one moves
away from the center
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(C) remain constant across
the whole urban area
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(D)
be unrelated with distance from center
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Q.6
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Fineness modulus of sand
measures its
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(A) Compressive strength
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(B) Grading according to
particle size
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(C) Bulking of sand
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(D)
Ratio of coarse and fine sand
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Q.7
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The spherical surface of the geodesic dome
comprises of
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(A) Equilateral triangles
of various sizes
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(B) Isosceles triangles of
various sizes
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(C) Equilateral triangles
of uniform size
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(D)
Isosceles triangles of uniform size
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Q.8 The abrup
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t change or junction between two ecological zones
is termed as
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(A)
Ecolo
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gical niche (B) Ecosystem
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(C) Ecotyp
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e (D) Ecotone
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Q.9 Complementary
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colours in a Munsell pigment colour wheel refers
to
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(A) Colours in
al
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ternate
positions (B) Colours
opposite to one another
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(C) Colours adja
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cent to each other (D)
A pair of secondary colours
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Q.10
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The closing syntax, for an executable command line
in C or C++ program, is
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(A) :
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(B) ,
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(C) ;
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(D) .
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Q.13 The
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ingredient to be added to produce Aerated Cement
Concrete, is
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(A)
Alu
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minum (B)
Calcium chloride
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(C) Gyp
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sum (D) Sulphur
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Q.14 The cause of short
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column effect, during seismic occurrence, is due
to
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(A)
Centralized ru
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pture of the column (B) Tearing of reinforcement bars
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(C) Buckling of co
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lumn (D)
Stress concentration
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Q.15 The
front of
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solar protection
system consisting of fixed slats or grids, outside a building façade in
openings, is known as
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(A)
Bris
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e–soleil (B) Solarium
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(C) Mal
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qaf (D)
Trombe wall
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an architectural feature of a building that reduces heat gain within that building by deflecting sunlight.
Q.16
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The Indian property
inscribed by UNESCO on the World Heritage List in the year 2018 is
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(A) Mattanchery Palace,
Ernakulam
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(B) The Victorian Gothic
and Art Deco Ensembles of Mumbai
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(C) Ancient Buddhist Site,
Sarnath
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(D)
Mughal Gardens in Kashmir
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Q.17 Typical features of
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Buddhist architecture are
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(A) Mandapa,
Chatt
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ri, Amalaka, Torana (B) Stambha, Torana, Vimana , Harmika
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(C) Vedika, Chattri,
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Torana, Harmika (D) Vedika , Stupa, Chaitya, Vimana
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Q.18
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Identify the Queen closure
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(A)
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(B)
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(C)
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(D)
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Q.19 Identify
the
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role of Vermiculite in vertical
landscapes
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(A) Fertilizer
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(B)
Holding material
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(C) Binding material
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(D) Water retention element
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Q.21
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The illumination level of a room is 300
lux and the efficacy of the lamps is 60. The Light
Power Density (LPD) of the room in
Watt/m2 is .
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Q.22
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The load on a RCC column is 150 kN. The
soil bearing capacity is 80 kN/m2. Assuming a factor of safety of 1.2, the
side of the square column footing is meter
(rounded off to one decimal place).
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Soil Bearing Capacity
= ( Total load x safety factor ) / area of the column footing
area of the column footing = ( 150 x 1.2 ) / 80
= 2.25 sq.m
side of the square column footing = 1.5 m
Q.23
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A room is separated by a partition wall.
The average intensities of sound in the source and
receiving sides across the partition are
10-4 W/m2 and 10-7 W/m2 respectively. The transmission loss (TL) of the
partition wall is dB.
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Q.24
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If the purchase price of 2BHK flat rises
by 10 percent, the demand for such flats is observed to decrease by 8
percent. The price elasticity of the housing demand for 2BHK flats is
(rounded off to one decimal place).
|
Price elasticity of the housing demand = % change in quantity demand / % change in price
= 8/10
= 0.80
= 8/10
= 0.80
Q.25
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‘Threshold of enclosure’ created by
vertical surfaces or series of vertical elements in an urban plaza,
represented by the ratio of height and distance, is given by an angle of
degrees (rounded off to one decimal
place).
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Threshold of enclosure = 1/2
tan θ = 1/2
θ = 26.56
tan θ = 1/2
θ = 26.56
Q. 26 – Q. 55 carry two marks each.
Match the instruments in Column - I with
the various types of surveying in Column - II and select the appropriate
option.
Column - I
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Column - II
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P
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Cross staff
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1
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Indoor wall to wall measurement
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Q
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Alidade
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2
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Traversing
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R
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Sextant
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3
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Chain survey
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S
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Distomat
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4
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Plane table survey
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5
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Contour survey
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(A) P-3, Q-4, R-2, S-5 (B) P-2, Q-4, R-1, S-5
(C) P-5, Q-3, R-2, S-1 (D) P-3, Q-4, R-2, S-1
27.
Match the characteristics of settlement
systems in Column - I with their corresponding theory/rules in Column - II and
select the appropriate option.
Column - I
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Column - II
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P
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Primacy of settlements
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1
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Central place theory
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Q
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Settlement size and location
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2
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Gravity model
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R
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Random component in location of
settlements
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3
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Rank size rule
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S
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Interaction between settlements
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4
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Entropy of settlements
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5
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Core periphery model
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(A) P-4, Q-1, R-2, S-5 (B) P-2, Q-5, R-3, S-1
(C) P-3, Q-5, R-4, S-2 (D) P-3, Q-1, R-4, S-2
Match the architectural projects in Column
- I with the architect in Column - II, and select the appropriate option.
Column - I
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Column - II
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P
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India Habitat Centre, New Delhi
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1
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Christopher Charles Benninger
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Q
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United World Colleges (UWC),
Mahindra College, Pune
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2
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Charles Correa
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R
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Brain & Cognitive Science
Centre – MIT, Cambridge
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3
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Joseph Allen Stein
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S
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Habitat 67, Montreal
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4
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Norman Foster
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5
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Moshe Safdi
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(A) P-3, Q-1, R-2, S-5 (B) P-1, Q-2, R-5, S-3
(C) P-2, Q-1, R-5, S-4 (D) P-3, Q-4, R-1, S-5
29.
Match the Name of the book provided in
Column - I with the corresponding author in Column - II and select the
appropriate option.
Column - I
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Column - II
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P
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Earthscape
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1
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Ian McHarg
|
Q
|
Synthesis of Form
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2
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John O Simonds
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R
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Design with Nature
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3
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Christopher Alexander
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S
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The City of Tomorrow and its
Planning
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4
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Lewis Mumford
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5
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Le Corbusier
|
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(A) P-2, Q-3, R-1, S-5 (B) P-5, Q-2, R-3, S-4
(C) P-5, Q-3, R-1, S-4 (D) P-2, Q-1, R-4, S-5
Match the thermal properties in the Column
- I and their respective units in Column - II and select the appropriate
option.
Column - I
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Column - II
|
||
P
|
Thermal Resistance
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1
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J kg-1 ºC-1
|
Q
|
Thermal Transmittance
|
2
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W m-1 ºC-1
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R
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Specific Heat
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3
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W m-2 ºC-1
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S
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Thermal Conductivity
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4
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m2 ºC W-1
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5
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J m-3 ºC-1
|
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(A) P-4, Q-1, R-5, S-2 (B) P-4, Q-3, R-1, S-2
(C) P-5, Q-3, R-1, S-4 (D) P-3, Q-4, R-2, S-1
31.
Match the application in the field of
construction in the Column - I and the respective items in Column - II and
select the appropriate option.
Column - I
|
Column - II
|
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P
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Polytetrafluoroethylene (PTFE)
membrane
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1
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Tendon
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Q
|
Isolated compression component
inside a network of continuous tensile
member
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2
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TMT
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R
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Cable used for pre-stressed
concreting
|
3
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Tensegrity
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S
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Reinforcement bar used in RCC
construction
|
4
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TMD
|
5
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Teflon
|
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(A) P-5, Q-1, R-4, S-3 (B) P-4, Q-3, R-1, S-5
(C) P-5, Q-3, R-1, S-2 (D) P-3, Q-4, R-2, S-1
Match the following types of masonry joints
in Column - I with their corresponding description in Column - II, and select
the appropriate option.
(A) P-1, Q-3, R-2, S-4 (B) P-4, Q-3, R-2, S-5
(C) P-3, Q-4, R-5, S-2 (D) P-4, Q-3, R-1, S-5
Match the following in Column - I with
their suitable description in Column - II, and select the appropriate option.
Column - I
|
Column - II
|
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P
|
Tolerance
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1
|
100 mm
|
Q
|
Precast concrete rings for wells
|
2
|
Non modular dimension
|
R
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M
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3
|
Acceptable variation
|
S
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Weather joints
|
4
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3D- prefabricate
|
5
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Resilient sealants
|
||
(A) P-2, Q-4, R-1, S-3 (B) P-2, Q-4, R-3, S-5
(C) P-1, Q-2, R-3, S-4 (D) P-3, Q-4, R-1, S-5
Match the units provided in Column - I with
their corresponding items in Column - II, and select the appropriate option.
Column - I
|
Column - II
|
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P
|
dB
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1
|
Sound Intensity
|
Q
|
Phon
|
2
|
Absorption of sound
|
R
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W/m2
|
3
|
Frequency of sound
|
S
|
Sabine
|
4
|
Loudness
|
5
|
Sound pressure level
|
||
(A) P-5, Q-1, R-4, S-3 (B) P-2, Q-3, R-4, S-5
(C) P-1, Q-2, R-3, S-4 (D) P-5, Q-4, R-1, S-2
Match the scientific names of the trees
provided in Column - I with the corresponding color of their bloom in Column -
II, and select the appropriate option.
Column - I
|
Column - II
|
||
P
|
Cassia fistula
|
1
|
White
|
Q
|
Lagerstroemia flos-reginae
|
2
|
Red
|
R
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Cordia sebastena
|
3
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Blue
|
S
|
Plumeria alba
|
4
|
Yellow
|
5
|
Mauve
|
||
(A) P-4, Q-5, R-4, S-1 (B) P-1, Q-5, R-2, S-3
(C) P-5, Q-4, R-1, S-3 (D) P-4, Q-5, R-2, S-1
Match the items in Column - I and their
respective location in building/site in Column - II, and select the appropriate
option.
Column - I
|
Column - II
|
||
P
|
Nahani Trap
|
1
|
Between waste water pipe and
main house drain
|
Q
|
Gully Trap
|
2
|
Between septic tank and soak pit
|
R
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Bottle Trap
|
3
|
Junction of house drain and sewer
|
S
|
Intercepting Trap
|
4
|
Bathroom and kitchen floor
|
5
|
Below the wash basin
|
||
(A) P-4, Q-5, R-2, S-3 (B) P-5, Q-1, R-3, S-2
(C) P-4, Q-1, R-5, S-3 (D) P-3, Q-4, R-5, S-2
As per the Handbook on Barrier Free and
Accessibility, CPWD - 2014, match the design guidelines in Column - I with
their appropriate standards in Column - II and select the appropriate option.
Column - I
|
Column - II
|
||
P
|
Minimum clear width of ramp
|
1
|
600 mm
|
Q
|
Maximum height of wash basin
(rim) above finished floor level
|
2
|
1500 mm
|
R
|
Minimum length of grab rail
|
3
|
750 mm
|
S
|
Minimum clear width for
maneuvering space (wheelchair)
|
4
|
900 mm
|
5
|
1800 mm
|
||
(A) P-3, Q-4, R-1, S-5 (B) P-5, Q-3, R-2, S-4
(C) P-5, Q-3, R-1, S-2 (D) P-1, Q-4, R-3, S-1
Match the contemporary Urban Design
Movements listed in Column - I with the corresponding principles listed in
Column - II and select the appropriate option.
Column - I
|
Column - II
|
||
P
|
Park Movement
|
1
|
Self-contained, self-sufficient
community surrounded by green belts
|
Q
|
New Urbanism
|
2
|
Revival of the relationship between
man and nature
|
R
|
City Beautiful Movement
|
3
|
Relationship between work and
living, environmental sustainability
|
S
|
Garden City and New Town Movement
|
4
|
Unity, cohesion and balanced relationship
between urban
components and elements
|
5
|
Technical and socio economic processes
resulting in growth, energy production and waste
elimination
|
||
(A) P-2, Q-3, R-4, S-1 (B) P-1, Q-5, R-3, S-2
(C) P-5, Q-3, R-1, S-2 (D) P-2, Q-5, R-4, S-1
Match the figures of vaults in Column - I with their corresponding types in Column - II and select the appropriate option.
(A) P-3, Q-4, R-1, S-2 (B) P-3, Q-1, R-4, S-5
(C) P-2, Q-1, R-5, S-3 (D) P-2, Q-3, R-1, S-5
Q.40
|
A colony of 50 people is served by a
septic tank. The rate of water supply is 90 lpcd in the colony and 40% of it
is going to the septic tank. The retention period of the tank is 24 hours.
The length of the septic tank is meter
(rounded off to two decimal places).
Assume, storage capacity/person = 0.085m3
(3 years) Space for digestion = 0.0425 m3/person
Depth of tank = 1.4 m Length: Width = 2:1
|
Total water supply = 50 x 90 = 4500 ltr/day
40% to septic tank = 40 x 4500 / 100 = 1.8 cu.m/day
Storage capacity = 0.085 x 50 = 4.25 cu.m
space for digestion = 0.0425 x 50 = 2.125 cu.m
Total volume required = 1.8 + 4.25 + 2.125
= 8.175 cu.m (volume of tank)
40% to septic tank = 40 x 4500 / 100 = 1.8 cu.m/day
Storage capacity = 0.085 x 50 = 4.25 cu.m
space for digestion = 0.0425 x 50 = 2.125 cu.m
Total volume required = 1.8 + 4.25 + 2.125
= 8.175 cu.m (volume of tank)
area of tank = 8.175/1.4 = 5.8 sq.m
length = 3.14 m (2:1)
width = 1.70 m
length = 3.14 m (2:1)
width = 1.70 m
Q.41
|
A cone, with a base of 10 cm diameter and
axis of 12 cm, is lying on Horizontal Plane (HP) along its generator. The
internal angle which the base of the cone makes with the HP is
degrees.
|
tan θ = 12/5
θ = 67.38
θ = 67.38
Q.42
|
A public utility building of 5000 m2 was
constructed 5 years before, on a site of 1 hectare. The present value of open
land in that location is Rs. 100/m2 and present construction cost of such
building is Rs. 2500/m2. If the value of the building is assumed to be
depreciating at a constant rate of 6 percent per annum, then the present
value of the property using ‘Valuation by Cost Method’ is (in Rs. lakhs) (rounded off to one
decimal place).
|
Q.43
|
A residential area of 20 hectares is
planned for three different types of plots of 500 m2,
300 m2 and 200 m2 with numbers of plot in each category are 100, 120
and 150 respectively. The rest of the area is allocated for roads and
facilities such as schools, shops and parks. Each plot has one dwelling unit
and the average household size is 5 persons.
The net residential density of the area
in persons per hectare is .
|
area = 20 x 10000 = 2,00,000 sq.m
500 sq.m - 100 - 50,000 sq.m - 100 x 5 = 500 household
300 sq.m - 120 - 36,000 sq.m - 120 x 5 = 600
500 sq.m - 100 - 50,000 sq.m - 100 x 5 = 500 household
300 sq.m - 120 - 36,000 sq.m - 120 x 5 = 600
200 sq.m - 150 - 30,000 sq.m - 150 x 5 = 750
1,16,000 sq.m 1850 household
net residential density = 1850 / 11.6 = 159.45 = 160 pph
1,16,000 sq.m 1850 household
net residential density = 1850 / 11.6 = 159.45 = 160 pph
Q.44
|
In a single lane road, traffic volume of
1000 vehicle/h moving at 20 km/h, comes to a halt due to an accident. If jam
density is 150 vehicle/km, the velocity of the shock wave generated
(in absolute value) is km/h.
|
Q.45
|
In a site map, a rectangular residential
plot measures 150 mm × 40 mm, and the width of the front road in the map
measures 16 mm. Actual width of the road is 4 m. If the permissible
F.A.R. is 1.2, the maximum built-up area
for the residential building will be _ m2.
|
Q.46
|
The internal dimension of a room is 10m ×
10m × 4m (height). The total area of the doors and windows are 16 m2. Keeping
the doors and windows closed, the reverberation time of the room becomes 1.2
second. Assume all the interior surfaces including doors and windows have
same sound absorption coefficient. If all the doors and windows of the room
are kept fully open, the reverberation time will be second (rounded off to two decimal
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Q.48 Solar panels are
proposed to be installed on a building roof top to generate electricity. The
size of each solar panel is 2 m2. The efficiency of each panel is 75%. The
orientations of the solar panel and related solar data are given in the table
below.
Orientation
|
No. of Panel
|
Average daily solar
radiation in W/m2
|
Average solar hours
per day
|
South
|
10
|
400
|
4
|
West
|
5
|
300
|
2
|
As per the above proposal kWh solar power will be generated daily.
(rounded off to one decimal place)
Q.49
|
A power shovel is having 1.8 m3
excavation output per batch of operation. The average cycle time of the batch
operation is 45 seconds. The lost time per hour of the excavation activity is
10 minutes. Assume six working hours of operation per day. The amount of soil
excavated by the power shovel per day is m3
(rounded off to two decimal places).
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Q.50
|
A room having dimension 12 m × 10 m × 3.5
m is required to be mechanically ventilated by air-conditioner. The
temperature difference between outdoor ambient air and the supply air is 12
°C. Consider three air exchanges per hour. The volumetric specific heat of
the air is
1250 J/m3 °C. Assume one ton of
refrigeration (TR) is equal to 3.5 kW. The capacity of the air-conditioner
for the room in TR will be .
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Q.51 A
simply supported beam AB has a clear span of 7 meter. The bending moment
diagram (BMD) of the beam due to a single concentrated load is shown in the figure
below.
The magnitude of the concentrated load in
kN is .
Q.52
|
For a symmetrical trapezoidal open drain
in a landscape with grass and loose rock surface, the velocity of flow of
water is m/sec, (rounded off to two decimal places), given the following
data.
Water edge width at the top = 750 mm Water edge width at the bottom
= 450 mm Water depth =
600 mm
Manning’s coefficient of roughness = 0.05 Slope along the drain = 1
in 250
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Q.53
|
The stack pressure is created by 10 m
height of stack and 15°C temperature difference. The
motive force due to the stack pressure
over a cross section area of 2.5 m2 is N.
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Q.54
|
An industrial building contains 3000 kg
of combustible materials, in dry state, distributed over three rooms of area
100 m2, 500 m2 and 300 m2 each, in a proportion of 30%, 50% and 20% of the
contents, respectively. Calorific value of the material is 4400 kCal/kg.
The Total Fire Load of the rooms is equal
to kCal/ m2.
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