28 Questions
In the first sentence, what is the correct word that best completes the statement?
principal, principle
Which word is the most suitable to fill in the blank in the second sentence?
frugality
What is the area of the original rectangle if it loses 650m² during its transformation into a square?
4500
If seven machines take 7 minutes to make 7 toys, how many minutes would 100 machines take to make 100 toys at the same rate?
1
If a number consists of two digits and the sum of the digits is 9, what is the number if its digits are interchanged after subtracting 45?
72
For integers 𝑎, 𝑏, and 𝑐, what would be the minimum and maximum values of 𝑎 + 𝑏 + 𝑐 if log |𝑎| + log |𝑏| + log |𝑐| = 0?
-1, 1
Which of the following correctly describes the values of 𝑎 and 𝑏 if 𝑎 + 𝑎^2𝑏^3 is odd?
𝑎 is even and 𝑏 is odd
If a train takes 25 seconds to pass a platform at 54 km/h and 14 seconds to pass a man at 9 km/h, what is the length of the train and the platform?
245 meters and 130 meters
Which function represents the graph shown in the figure provided?
𝑦 = ||𝑥| − 1| − 1
Based on the given statements, which one can be logically inferred?
If statement (i) is true and (ii) is false, then (iii) is true.
What is the value of R for a perfectly plastic material?
0.865
In a sheet metal blanking operation, what is the percentage scrap?
26.50%
What is the value of y(1) when using an explicit forward Euler method with dy/dt = y and y(0) = 1?
2.26
What is F(1) when F(s) is the Laplace transform of f(t) = 2t^2e^(-t)?
-0.20
What is the maximum bending stress in the simply supported beam under a uniformly distributed load of 10 kN/m?
3.7 MPa
What is the magnitude of the dynamic force transmitted from each mount to the ground for a machine subjected to F(t) = 50 cos(5t)?
-25.00 N
What is the change in specific entropy of the ideal gas from state 1 to state 2?
Not enough information provided
For a Pelton wheel with a given water jet velocity, when is the maximum output power obtained?
When the bucket speed exceeds water jet speed
What is the height in mm required for a 125 mm sine bar to measure a taper of 27° 32' on a flat work piece?
122.539 mm
In the context of two independent normal random variables X1 and X2, what is true about Y = X1 - X2?
Y is not normally distributed with mean 0 and variance 1
What is the value of the given integral ∯ 𝑟⃗ ∙ 𝑛⃗⃗ 𝑑𝑆 over the closed surface S bounding a volume V?
-V
After losing 20% of its impact velocity in each collision with the ground, what happens to the velocity of a point mass shot vertically up from ground level?
It decreases after each collision
For a superheated vapour, which of the following statements is correct?
Its volume is less than the volume of the saturated vapour at a given temperature.
In a linearly hardening plastic material, what happens to the true stress beyond initial yielding?
Increases linearly with the true strain
What type of weld is represented by the shaded region in the figure?
Plug
If the cutting speed is reduced by 50% in the Taylor’s tool life equation with exponent n = 0.5, what is the ratio of new tool life to original tool life?
4
What does a grinding ratio of 200 imply?
Grinding wheel wears 200 times the volume of material removed
In a face-centered cubic (FCC) crystal, what are the number of atoms per unit cell and slip systems, respectively?
4, 48
Test your knowledge on superheated vapour properties with this quiz question. Identify the correct statement related to superheated vapour characteristics. Part of a Mechanical Engineering practice set for GATE 2018.
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