The determinant of a square matrix $A = \left[ {\begin{array}{*{20}{c}} 3&2\\\4&5 \end{array}} \right]$ is

• A) 15
• B) 7
• C) 8
• D) 0

A determinant does not change if we add a multiple of a row to another row.

• A) False
• B) True
• C)
• D)

Which of the following is the area of the parallelogram determined by the columns of A where A is a 2 x 2 matrix?

• A) A^(-1) ,that is inverse of A
• B) det A
• C) [A]
• D) |det A|

The determinant of a square matrix A = \left[ {\begin{array}{*{20}{c}} 3&2\\\4&5 \end{array}} \right] is

• A) 7
• B) 15
• C) 0
• D) 8

Which of the following is the volume of the parallelepiped determined by the columns of A where A is

• A) det A
• B) |det A|
• C) A^(-1) ,that is inverse of A
• D) [A]

If A is a square matrix, then the Minor of entry ith row and jth column is to be the determinant of the sub matrix that remains when the ith row and jth column of A are:

• A) Multiplied
• B) Added
• C) Divided
• D) Deleted

In general,

• A) det(A+B)≠ detA+detB
• B) det(A+B)=det(A)+det(B)
• C)
• D)

Couple is having a combination of two forces. They are different in magnitude.

• A) True
• B) False
• C)
• D)

If the forces on the couple are 5N each, then which of the following is the resultant of the forces acting on the couple>

• A) 10
• B) 25
• C) 2.5
• D) 0

As we have learnt that Moment of force is F × d, so formula for weight in relevance to moment of force will be--------.

• A) mg/d
• B) mg+d
• C) mg-d
• D) mg*d

The distance between the forces acting in the couple is ____________

• A) infinity
• B) zero
• C) a circular loop
• D) finite

A couple moment is a -------- vector.

• A) del
• B) scalar
• C) free
• D) gradient

Which of the following is correct for the moment of couple M caused by two forces of same magnitude F and is separated by a distance of r?

• A) M=-r.F
• B) M=r.F
• C) M=r*F
• D) M=-(r*F)

The torque depends upon........

• A) mass
• B) both force and moment arm
• C) force only
• D) moment arm only

A line along which a force act is called-----.

• A) a line of acting torque
• B) moment arm
• C) a line of action of force
• D) axis of rotation

The perpendicular distance between the axis of rotation and the line of action of the force is called the-------.

• A) moment arm
• B) displacement
• C) inertia
• D) velocity

Moment of force=--------.

• A) F - d, where F is force and d is moment arm
• B) F + d, where F is force and d is moment arm
• C) F/d, where F is force and d is moment arm
• D) F*d, where F is force and d is moment arm

When a meter rule is not pivoted at 50 cm, its weight ……..

• A) Won’t cause a turning effect
• B) Will cause a turning effect
• C) Will be zero
• D) Won’t have magnitude

The easiest way to open a heavy door is by applying the force---------.

• A) in the middle of the door
• B) near the hinges
• C) at the top of the door
• D) at the edge of the door far from hinges

The resultant force acting in the couple is ----.

• A) twice the magnitude of single force
• B) infinite
• C) zero
• D) Half the magnitude of single force