Firstranker's choice
GATE 2018
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Q. 1 – Q. 5 carry one mark each.
Q.1 “Going by the _______ that many hands make light work, the school involved all the students in the task."
The words that best fill the blanks in the above sentence are
(A) principle, principal
(B) principal, principle
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(C) principle, principle
(D) principal, principal
Q.2 "Her _______ should not be confused with miserliness; she is ever willing to assist those in need."
The word that best fills the blank in the above sentence is
(A) cleanliness
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(B) punctuality
(C) frugality
(D) greatness
Q.3 Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?
(A) 1
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(B) 7
(C) 100
(D) 700
Q.4 A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m² of area. What is the area of the original rectangle in square meters?
(A) 1125
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(B) 2250
(C) 4500
(D)
Q.5 A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?
(A) 63
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(B) 72
(C) 81
(D) 90
Q. 6 – Q. 10 carry two marks each.
Q.6 For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0?
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(A) -3 and 3
(B) -1 and 1
(C) -1 and 3
(D) 1 and 3
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Firstranker's choice
GATE 2018
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Q.7 Given that a and b are integers and a + a² b³ is odd, which one of the following statements is correct?
(A) a and b are both odd
(B) a and b are both even
(C) a is even and b is odd
(D) a is odd and b is even
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Q.8 From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?
(A) 210 and 140
(B) 162.5 and 187.5
(C) 245 and 130
(D) 175 and 200
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Q.9 Which of the following functions describe the graph shown in the below figure?
(A) y = ||x| + 1| - 2
(B) y = ||x| - 1| - 1
(C) y = ||x| + 1| - 1
(D) y = ||x - 1| – 1|
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Q.10 Consider the following three statements:(i) Some roses are red.
(ii) All red flowers fade quickly.
(iii) Some roses fade quickly.
Which of the following statements can be logically inferred from the above statements?
(A) If (i) is true and (ii) is false, then (iii) is false.
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(B) If (i) is true and (ii) is false, then (iii) is true.
(C) If (i) and (ii) are true, then (iii) is true.
(D) If (i) and (ii) are false, then (iii) is false.
END OF THE QUESTION PAPER
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Firstranker's choice
GATE 2018
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Q. 1 – Q. 25 carry one mark each.
Q.1 Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is
(A) 1/72
(B) 1/55
(C) 1/36
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(D) 1/27
Q.2 The rank of the matrix
-4 1 -1
-1 -1 -1
7 -3 1 is
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(A) 1
(B) 2
(C) 3
(D) 4
Q.3 According to the Mean Value Theorem, for a continuous function f(x) in the interval [a,b], there exists a value ? in this interval such that ?ba f(x)dx =
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(A) f(?)(b-a)
(B) f(b)(?-a)
(C) f(a)(b-?)
(D) 0
Q.4 F(z) is a function of the complex variable z = x+iy given by F(z) = i z + k Re(z) + i Im(z).
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For what value of k will F(z) satisfy the Cauchy-Riemann equations?
(A) 0
(B) 1
(C) -1
(D) y
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Q.5 A bar of uniform cross section and weighing 100 N is held horizontally using two massless and inextensible strings S1 and S2 as shown in the figure.
The tensions in the strings are(A) T1 = 100 N and T2 = 0 N
(B) T1 = 0 N and T2 = 100 N
(C) T1 = 75 N and T2 = 25 N
(D) T1 = 25 N and T2 = 75 N
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Firstranker's choice
GATE 2018
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Q.6 If s1 and s3 are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is
(A) (s1 + s3)/2
(B) (s1 - s3)/2
(C) v( (s1 + s3)/2 )
(D) v( (s1 - s3)/2 )
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Q.7 The equation of motion for a spring-mass system excited by a harmonic force is
Mx¨ + Kx = F cos(?t),
where M is the mass, K is the spring stiffness, F is the force amplitude and ? is the angular frequency of excitation. Resonance occurs when ? is equal to
(A) v(M/K)
(B) v(1/(MK))
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(C) 2pv(K/M)
(D) v(K/M)
Q.8 For an Oldham coupling used between two shafts, which among the following statements are correct?
I. Rotation is transferred along shaft axis.
II. Torsional load is transferred along shaft axis.
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III. A velocity ratio of 1:2 between shafts is obtained without using gears.
IV. Bending load is transferred transverse to shaft axis.
(A) I and III
(B) I and IV
(C) II and III
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(D) II and IV
Q.9 For a two-dimensional incompressible flow field given by ü = A(xi – yj), where A > 0,
which one of the following statements is FALSE?
(A) It satisfies continuity equation.
(B) It is unidirectional when x ? 0 and y ? 8.
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(C) Its streamlines are given by x = y.
(D) It is irrotational.
Q.10 Which one of the following statements is correct for a superheated vapour?
(A) Its pressure is less than the saturation pressure at a given temperature.
(B) Its temperature is less than the saturation temperature at a given pressure.
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(C) Its volume is less than the volume of the saturated vapour at a given temperature.
(D) Its enthalpy is less than the enthalpy of the saturated vapour at a given pressure.
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Firstranker's choice
GATE 2018
Q.11 In a linearly hardening plastic material, the true stress beyond initial yielding
(A) increases linearly with the true strain
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(B) decreases linearly with the true strain
(C) first increases linearly and then decreases linearly with the true strain
(D) remains constant
Q.12 The type of weld represented by the shaded region in the figure is
(A) groove
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(B) spot
(C) fillet
(D) plug
Q.13 Using the Taylor's tool life equation with exponent n = 0.5, if the cutting speed is reduced by 50%, the ratio of new tool life to original tool life is
(A) 4
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(B) 2
(C) 1
(D) 0.5
Q.14 A grinding ratio of 200 implies that the
(A) grinding wheel wears 200 times the volume of the material removed
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(B) grinding wheel wears 0.005 times the volume of the material removed
(C) aspect ratio of abrasive particle used in the grinding wheel is 200
(D) ratio of volume of abrasive particle to that of grinding wheel is 200
Q.15 Interpolator in a CNC machine
(A) controls spindle speed
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(B) coordinates axes movements
(C) operates tool changer
(D) commands canned cycle
Q.16 The time series forecasting method that gives equal weightage to each of the m most recent observations is
(A) Moving average method
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(B) Exponential smoothing with linear trend
(C) Triple Exponential smoothing
(D) Kalman Filter
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Firstranker's choice
GATE 2018
Q.17 The number of atoms per unit cell and the number of slip systems, respectively, for a face-centered cubic (FCC) crystal are
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(A) 3, 3
(B) 3, 12
(C) 4, 12
(D) 4, 48
Q.18 A six-faced fair dice is rolled five times. The probability (in %) of obtaining “ONE” at least four times is
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(A) 33.3
(B) 3.33
(C) 0.33
(D) 0.0033
Q.19 A steel column of rectangular section (15 mm × 10 mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E = 200 GPa for steel, the critical axial load (in kN) is _______ (correct to two decimal places).
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Q.20 A four bar mechanism is made up of links of length 100, 200, 300 and 350 mm. If the 350 mm link is fixed, the number of links that can rotate fully is _______.
Q.21 If the wire diameter of a compressive helical spring is increased by 2%, the change in spring stiffness (in %) is _______ (correct to two decimal places).
Q.22 A flat plate of width L = 1 m is pushed down with a velocity U = 0.01 m/s towards a wall resulting in the drainage of the fluid between the plate and the wall as shown in the figure. Assume two-dimensional incompressible flow and that the plate remains parallel to the wall. The average velocity, Uavg of the fluid (in m/s) draining out at the instant shown in the figure is _______ (correct to three decimal places).
This download link is referred from the post: GATE Previous Last 10 Years 2010-2020 Question Papers With Solutions And Answer Keys
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