1
GATE ME 2020 Set 1
MCQ (Single Correct Answer)
+1
-0.33
Define [x] as the greatest integer less than or equal to x, for each x ϵ (-∞, ∞). If y = [x], then area under y for x ϵ [1,4] is
A
1
B
3
C
4
D
6
2
GATE ME 2020 Set 1
MCQ (Single Correct Answer)
+1
-0.33
Multiplication of real valued square matrices of same dimension is
A
Associative
B
Commutative
C
Always positive definite
D
not always possible to commute
3
GATE ME 2020 Set 1
MCQ (Single Correct Answer)
+1
-0.33
The Laplace transform of function f(t) is L(t) $$ = \frac{1}{{\left( {{s^2} + {\omega ^2}} \right)}}$$. Then, f(t) is
A
$$f\left( t \right) = \frac{1}{{{\omega ^2}}}\left( {1 - \cos \omega t} \right)$$
B
$$f\left( t \right) = \frac{1}{\omega }\cos \omega t$$
C
$$f\left( t \right) = \frac{1}{\omega }\sin \omega t\;$$
D
$$\;f\left( t \right) = \frac{1}{{{\omega ^2}}}\left( {1 - \sin \omega t} \right)$$
4
GATE ME 2020 Set 1
MCQ (Single Correct Answer)
+1
-0.33
The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of 10 MPa. If one unit on the σ - τ plane is 1 MPa, the Mohr’s circle representation of the state-of-stress is given by
A
a circle with a radius equal to principal stress and its center at the origin of the σ - τ plane
B
a point on the σ axis at a distance of 10 units from origin
C
a circle with a radius of 10 units on the σ - τ plane
D
a point on the τ axis at a distance of 10 units from the origin
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