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Letx(t) be the input and y(t) be the output of a continuous time system. Match the system properties P<sub>1</sub>, P<sub>2</sub> and P<sub>3</sub> with system relations R<sub>1</sub>, R<sub>2</sub>, P<sub>3</sub>, P<sub>4</sub>.<br>Properties<br>P<sub>1</sub> : Linear but NOT time-invariant<br>P<sub>2</sub> : Time-invariant but NOT linear<br>P<sub>3</sub> : Linear and time-invariant<br>Relations<br>R<sub>1</sub> : y(t) = t<sup>2</sup>x(t)<br>R<sub>2</sub> : y(t) = t |x(t)|<br>R<sub>3</sub> : y(t) = |x(t)|<br>R<sub>4</sub> : y(t) = x(t - 5)

Correct Answer: (P<sub>1</sub>, R<sub>2</sub>), (P<sub>2</sub>, P<sub>3</sub>), (P<sub>3</sub>, R<sub>4</sub>)

Consider a system whose input r and output y are related by the equation $$y\left( t \right) = \int\limits_{ - \infty }^\infty {x\left( {t - \tau } \right)} h\left( {2\tau } \right)d\tau $$
Signal Processing mcq question image
Where h(t) is shown in the graph
Which of the following four properties are possessed by the system? BIBO: Bounded input gives a bounded output
Causal: The system is causal.
LP : The system is low pass.
LTI: The system is linear and time-invariant.

Facts related to public relations are given below
1. Internal relations
2. Customer relations
3. Concept of public relations
4. Internal coordination
Which of the above given is/are types of public relations?

Consider the following statements with reference to Kant and select the correct option.
1. Kant rejects the notion that space and time are concepts which have been derived from our experience of relations between things.
2. Kant accepts the notion that space and time are concepts which have been derived from our experience of relations between things.
3. Kant rejects the notion that space and time are concepts which are not derived from our experience of relations between things.

Let P be linearity, Q be time-invariance, R be causality and S be stability. A discrete-time system has the input-output relationship,
$$y\left( n \right) = \left\{ \matrix{ \matrix{ {x\left( n \right),} & {n \ge 1} \cr } \hfill \cr \matrix{ {0,} & {n = 0} \cr } \hfill \cr \matrix{ {x\left( {n + 1} \right),} & {n \le - 1} \cr } \hfill \cr} \right.$$
where x(n) is the input and y(n) is the output.
The above system has the properties

Wages of the workers are normally, the proportionality derived from their efficiency. But the concept of efficiency of labour is itself vague such as amount of physical output, output per man hour or output per man shift. But output is not the function of man alone. There are other factors which affect the output. Which among the following is/are not the factor(s) that would affect the output directly?
1. Physical condition of work
2. Nature of machinery
3. Technical process
4. Quality of raw material
5. System of management
6. Role of fellow workers
7. Competitors in the market

A word arranging device rearranges words step-by-step in a particular order according to set of rules. The device stops when the final result is obtained.
Input: but going for crept te light sir
Step 1: crept but going for te light sir
Step 2: crept going light but for te sir
Step 3: crept going light but for sir te
And Step 3 is the last step for this input. Now, find out an appropriate step in the following question following the above rules. Question:
Input: more fight cats cough sough acts idea
What will be the last step for this input ?

A word arrangement machine, When given an input line of words, rearranges it in every step following a certain rule. Following is an illustration of an input line of words and various steps of rearrangement.
Input: gone are take enough brought station
Step 1: take gone are enough brought station
Step 2: take are gone enough brought station
Step 3: take are station gone enough brought
Step 4: take are station brought gone enough
And Step 4 is the last step for this input. Now, find out an appropriate step in the following question following the above rule. Question:
Input: car on star quick demand fat
What will be the third step for this input ?

Consider the following statements for continuous-time linear time invariant (LTI) systems.
1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
2. There is no causal and BIBO stable system with a pole in the right half of the complex plane.
Which one among the following is correct?

Which of the following statements relating to the system of collective bargaining in United Kingdom is true?
1. It is covered under the Trade Unions and Labour Relations Act, 1974.
2. It is covered under the Trade Unions and Labour Relations (Consolidation) Act, 1992.
3. It is covered under the Employment Relations Act, 1999.
4. It is not covered under any legislation.

Which of the following statements about the definition of 'Trade Union' as given in the Trade Unions Act, 1926 is not true?
1. A trade union is any combination, whether temporary or permanent.
2. It regulates the relations between workmen and employer.
3. It does not regulate the relations between workmen and workmen.
4. It regulates relations between employers and employers.