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Home » Engineering » Mechanical Engineering » Aptitude Test - 2
1.Which of the following is a vector quantity?
A. Density
B. Mass
C. Volume
D. Density
2.What is the the effect of a force upon a body according to the principle of transmissibility of forces?
A. Different at various locations along its line of action
B. Minimum when acting at the body�s centre of gravity
C. Maximum when acting at the body�s centre of gravity
D. Different at various locations along its line of action
3.The moment of the resultant of two concurrent forces to a center in their plane is equal to
A. The algebraic sum of the moments of the components to the same centre
B. The algebraic sum of the moments of the components to a different centre
C. The difference in component moments with respect to a different centre
D. The algebraic sum of the moments of the components to the same centre
4.Which of the following conditions doesn�t affect the magnitude of the moment?
A. If the point of application of force is opposing the line of action
B. If the point of application of force is along the line of action
C. If the moment of centre is shifted along a line perpendicular to the line of action
D. If the point of application of force is opposing the line of action
5.Which of the following forces do not cause the rotation?
A. Non-Parallel
B. Non-concurrent
C. Parallel
D. Non-Parallel
6.The moment is the cross product of which of the following two vectors/scalars?
A. Force and Radius scalars
B. Radius and Force scalars
C. Force and Radius vectors
D. Force and Radius scalars
7.Which part of the truss section is made to employ the method of joints in the free body diagram?
A. Combination of joint and the whole structure
B. The whole structure
C. Truss
D. Combination of joint and the whole structure
8.Which element of the truss section is made to apply the method of sections in the free body diagram?
A. The whole structure
B. Any section can be used
C. Joints
D. The whole structure
9.Which of the following contains moving parts?
A. Beam
B. Frames
C. Machines
D. Beam
10.The change in the moment is equal to which of the following?
A. Rotational moment
B. Bending moment
C. Total weight
D. Rotational moment
11.Over a block of weight W, the theory of friction is described. Which of the following describes the surface on which of the following block is located?
A. Coloured red
B. Having density in negative
C. The motion of that block is always horizontal
D. Coloured red
12.Which of the following type of screws is used in the machines?
A. Round-threaded
B. Helical-threaded
C. Rectangle-threaded
D. Round-threaded
13.In the free body diagrams, the normal forces acting on the belt are in which of the following direction for calculating the equilibrium equations?
A. Horizontally Left
B. Horizontally Right
C. Vertically Upward
D. Horizontally Left
14.In the journal bearings calculations, the moment is the cross product of which of the following two vectors?
A. Force and Radius scalars
B. Radius and Force scalars
C. Radius and Force vectors
D. Force and Radius scalars
15.For two vectors A and B, what is A.B (if they have angle ? between them)?
A. |A||B| cos?
B. |A||B|
C. ?(|A||B|) cos?
D. |A||B| cos?
16.Which statement is right?
A. Communitive law: A.B =B.A
B. Multiplicative law: a(A.B) = Ax(aB)
C. Multiplicative law: A.(B+D) = (A.B) + (A.D)
D. Communitive law: A.B =B.A
17.What is Distributive law?
A. A.B =B.A
B. a(A.B) = A.(aB)
C. A.(B+D) = (A.B) + (A.D)
D. A.B =B.A
18.What is multiplication law?
A. A.B =B.A
B. a(A.B) = A.(aB)
C. A.(B+D) = (A.B) + (A.D)
D. A.B =B.A
19.Which is true for two vector A = A1i + A2j + A3k and B = B1i + B2j + B3k?
A. A.B = A1B1 + A2B2 + A3B3
B. AxB = A1B1 + A2B2 + A3B3
C. A.B = A1B2 + A2B3 + A3B1
D. A.B = A1B1 + A2B2 + A3B3
20.What is k.i?
A. 0
B. 1
C. -1
D. 0
21.What is {(i.i) + (-i.j) + (-k.k) + (k.i)}.(Ai +Bj + Cz)?
A. 1
B. 0
C. A + B + C
D. 1
22.? = cos-1(A.B/AB). What is the range of ??
A. 0?
B. 0?
C. 90?
D. 0?
23.What is the value of {(AxB).(C.D)x(AxB).(C.D)}? For the four vectors A, B, C and D, with A, B, C and D all lying in the same plane?
A. i + j + k
B. ?3(i + j + k)
C. 0
D. i + j + k
24.What is (AxB).(BxA); or A = A1i + A2j + A3k and B = B1i + B2j + B3k?
A. 0
B. A1B1A2B2i + A2B2A3B3j + A3B3A1B1k
C. A1B1A1B2i + A2B2A3B2j + A3B3A1B3k
D. 0
25.What is the dot product of two vectors which are having a magnitude equal to unity and are making an angle of 45�?
A. 0.707
B. -0.707
C. 1.414
D. 0.707
26.Mathematically, for two vectors A and B of any magnitude, the cross product of both, i.e. AxB = given by:
A. |A||B|sin�
B. |A||B|
C. |A||B|cos�
D. |A||B|sin�
27.Which among the following is the distributive law for the cross product of three vectors?
A. Px(Q+S) = (PxQ) + (PxS)
B. Px(QxS) = (PxQ) + (PxS)
C. Px(QxS) = (PxQ) x (PxS)
D. Px(Q+S) = (PxQ) + (PxS)
28.Which statement is true? (For three vectors P, Q and R)
A. Associative law for cross product: (PxQ)xS = Px(QxS)
B. Associative law for cross product: (PxQ)xS ? Px(QxS)
C. Associative law for cross product: (PxQ)xS > Px(QxS)
D. Associative law for cross product: (PxQ)xS = Px(QxS)
29.Which of the following is true?
A. i x i =1
B. j x i = -j
C. k x j = -i
D. i x i =1
30.Which of them is not correct?
A. j x j = 0
B. j x k = i
C. j x i = k
D. j x j = 0
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