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Consider a system described by ẋ = Ax + Bu y = Cx + Du The system is completely output controllable if and only if Where: x = State vector (n-vector) u = Control vector (r-vector) y = Output vector (m-vector) A = n × n matrix B = n × r matrix C = m × n matrix D = m × r matrix
According to Naiya̅yikas we ascertain the relation of universal concomitance between x and y :  (A) We can determine the relation only if we can determine the relation of essential identity between x and y   (B) By perceiving that in all cases the presence of x is accompanied by the presence of y  (C) We can determine the relation only if we can determine the relation of cause and effect between x and y  (D) By not perceiving any instance where the presence of x is not accompanied by the presence of y or vice-versa.  Choose the correct answer from the options given below : 
Consider the following statements about velocity potential : 1. Velocity potential is a vector function similar to stream function. 2. It is a fully three dimensional function and not limited to two coordinates. 3. Velocity potential does not exist at stagnation points. 4. Velocity potential exists only if the flow is Irrotational. Which of these statements are correct?
The influence of shape of aggregate in strength and workability of concrete are given below in statements S1, S2, S3 and S4. Which of the statements are correct? S1: Rounded aggregate produces concrete with high workability and low strength. S2: Angular aggregate produces concrete with high workability and low strength. S3: Rounded aggregate produces concrete with low workability and high strength. S4: Angular aggregate produces concrete with low workability and high strength.
Which among the following type of relations are considered by Nya̅ya system as necessary relation between middle and major terms? (A) Species - species relation  (B) The causal relation  (C) Member - class relation  (D) Species - genus relation  Choose the correct answer from the options given below :
Consider the following three statements about link state and distance vector routing protocols, for a large network with 500 network nodes and 4000 links. [S1] The computational overhead in link state protocols is higher than in distance vector protocols. [S2] A distance vector protocol (with split horizon) avoids persistent routing loops, but not a link state protocol. [S3] After a topology change, a link state protocol will converge faster than a distance vector protocol. Which one of the following is correct about S1, S2, and S3?
The length of a rectangular field F is 3 km greater than the side of a square field M , and the width of field F is 3 km less then the side of field M. If the area of field M is m2 square km, what is the area of field F?
The perimeter of a rectangular field is fourth times of the perimeter of a square field. The ratio of the length of the rectangular field to the side of the square field is 6:1 and the diagonal of the square is 5√2 cm. Then, the area of the square field is what percentage of the area of the rectangular field?
With regard to the characteristic strength of concrete, consider the following statement: “Test strength of samples means the average strength of X samples. The strength of a sample should not vary by more than ± Y% of the average strength. What will be the values of X and Y here?
In rolling, there is the involvement of the vector math. So for rolling which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)