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GATE CE 2019 Set 1: Questions & Solutions
General Aptitude
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They have come a long way in ________ trust among the users.
- created
- creating
- creation
- create
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Answer :B
Solution:
They have come a long way in "creating" trust among the users.
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The CEO's decision to quit was as shocking to the Board as it was to _________.
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- myself
- me
- I
- my
Answer : B
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Solution :
"me"
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The lecture was attended by quite ________ students, so the hall was not very _________.
- few, quite
- a few, quite
- few, quiet
- a few, quiet
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Answer : D
Solution :
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a few, quiet
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If E = 10; J = 20; O = 30; and T = 40, what will be P + E + S + T?
- 82
- 164
- 120
- 51
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Answer : C
Solution:
P = 16 × 2 = 32
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E = 5 × 2 = 10
S = 19 × 2 = 38
T = 20 × 2 = 40
P + E + S + T = 120
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On a horizontal ground, the base of straight ladder is 6m away from the base of a vertical pole. The ladder makes an angle of 45° to the horizontal. If the ladder is resting at a point located at one-fifth of the height of the pole from the bottom, the height of the pole is ________ meter.
Answer :
Solution :
tan 45°=
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=
h-30 m
(Pole)
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P, Q, R, S and T are related and belong to the same family. P is the brother of S. Q is the wife of P. R and T are the children of the siblings P and S respectively. Which one of the following statements is necessarily FALSE?
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- S is the sister-in-law of Q
- S is the aunt of T
- S is the aunt of R
- S is the brother of P
Answer : B
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Solution :
Q-P-S
R
T
'T' is child of 'S'. So option (b) is right.
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A square has sides 5cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger square is ________ cm.
- 15.10
- 18.50
- 10.00
- 8.50
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Answer : C
Solution :
Given,
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(Area)B = 4 × (Area)A
? x2 = 4(x – 5)2
? x2 = 4[x2 + 25 – 10x]
? x2 = 4x2 + 100 – 40x
? 3x2 – 40x + 100 = 0
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? 3x2 – 30x – 10x + 100 = 0
? 3x(x – 10) – 10(x – 10) = 0
? x = 10 or
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In a sports academy of 300 people, 105 play only cricket, 70 play only hockey, 50 play only football, 25 play both cricket and hockey, 15 play both hockey and football and 30 play both cricket and football. The rest of them play all three sports. What is percentage of people who play at least two sports?
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- 23.30
- 50.00
- 28.00
- 25.00
Answer : D
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Solution :
Total = 300
C = 105
H = 70
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F = 50
C + H = 25
H + F = 15
C + F = 30
C + H + F = 300 – (295) = 5
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% of people playing at least 25 sports
=
25+15+30+5
×100
300
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75
=
×100=25%
300
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The increasing interest in tribal characters might be a mere coincidence, but the timing is of interest. None of this, though, is to say that the tribal hero has arrived in Hindi cinema, or that the new crop of characters represents the acceptance of the tribal character in the industry. The films and characters are too few to be described as a pattern.
Who does the word ‘arrived' mean in the paragraph above?
- reached a terminus
- came to a conclusion
- attained a status
- went to a place
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Answer : C
Solution :
The word 'arrived' mean in the above para is to “Attained a status"
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The new cotton technology, Bollgard-II, with herbicide tolerant traits has developed into a thriving business in India. However, the commercial use of this technology is not legal in India. Notwithstanding that, reports indicate that the herbicide tolerant Bt cotton had been purchased by farmers at an average of Rs 200 more than the control price of ordinary cotton, and planted in 15% of the cotton growing area in the 2017 Kharif season.
Which one of the following statements can be inferred from the given passage?
- Farmers want to access the new technology for experimental purposes
- Farmers want to access the new technology if India benefits from it
- Farmers want to access the new technology by paying high price
- Farmers want to access the new technology even if it is not legal
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Answer : D
Solution :
Farmers want to access the new technology even if it is not legal
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Civil Engineering
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In a soil specimen, the total stress, effective stress, hydraulic gradient and critical hydraulic gradient are s, s', i and ic, respectively. For initiation of quicksand condition, which one of the following statement is TRUE?
- s' = 0 and i ? ic
- s = 0 and i = ic
- s' ? 0 and i ? ic
- s' = 0 and i = ic
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Answer : D
Solution :
During quick sand condition, the effective stress is reduced to zero [i.e, s‘ = 0]
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Assuming that there is no possibility of shear buckling in the web, the maximum reduction permitted by IS 800-2007 in the (low-shear) design bending strength of a semi-compact steel section due to high shear is
- 25%
- 50%
- governed by the area of the flange
- zero
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Answer : D
Solution :
Maximum reduction permitted by IS 800-2007 is zero.
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The coefficient of average rolling friction of a road is fr and its grade is +G%. If the grade of this road is doubled, what will be the percentage change in the braking distance (for the design vehicle to come to stop) measured along the horizontal (assume all other parameters are kept unchanged)?
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×100
-
×100
-
×100
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×100
Answer : C
Solution :
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V
Case I: Braking distance
2g(f, +0.01G)
V
Case II: Braking distance
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2g(f, +0.02G)
Percentage change
_
V
-2g(f, +0.01G)
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V
2g(f, +0.01G)
=
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A circular duct carrying water gradually contracts from a diameter of 30cm to 15cm. The figure (not drawn to scale) shows the arrangement of differential manometer attached to the duct.
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When the water flows, the differential manometer shows a deflection of 8cm of mercury (Hg). The values of specific gravity of mercury and water are 13.6 and 1.0, respectively. Consider the acceleration due to gravity, g = 9.81 m/s². Assuming frictionless flow, the flow rate (in m³/s, round off to 3 decimal places) through the duct is ________.
Answer :
Solution :
h=x(-1)
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h-8136-1)
h = 100.8 cm = 1.008 m
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