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Six students of a school – Radha, Raj, Rahul, Mira, Aarav and Arijit are selected from different classes – 7th, 8th, 9th, 10th, 11th and 12th standards (not necessarily in the same order) to perform individually in the school annual function. Their order of performances is decided as per their classes. The one who is in 12th class will perform first, then after that 11th class student will perform and so on. Mira will perform immediate after the Rahul but before Arijit. Mira does not study in 8th class. Raj will perform immediate after Aarav but Raj neither studies in 8th class nor in 7th class. Who will perform last in the school annual function?
A system provides output yi(t) when xi(t) is applied. If the system is said to be LTI then which of the following properties must satisfy? (i).If the input is x3 = ax1(t) + bx2(t), then output must be y3(t) = ay1(t) + by2(t) (ii).If the input is x(t – T), then the output must be y (t – T) (iii).If the input is x3 = ax1(t) + bx2(t), then output must be y3(t) = ay1(t) * by2(t) (iv).If the input is x(t – T), then the output must be y(t + T)
Suppose we want to design a synchronous circuit that processes a string of 0’s and 1’s. Given a string, it produces another string by replacing the first 1 in any subsequence of consecutive 1’s by a 0. Consider the following example. Input sequence: 00100011000011100 Output sequence: 00000001000001100 A Mealy Machine is a state machine where both the next state and the output are functions of the present state and the current input. The above mentioned circuit can be designed as a two-state Mealy machine. The states in the Mealy machine can be represented using Boolean values 0 and 1. We denote the current state, the next state, the next incoming bit, and the output bit of the Mealy machine by the variables s, t, b and y respectively. Assume the initial state of the Mealy machine is 0. What are the Boolean expressions corresponding to t and y in terms of s and b ?
In the question one statement is given, followed by two conclusions, I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statement. Statement: A function is a relation between a set of input elements and a set of possible output elements where each input is related to exactly one output. Conclusion I: Every input element is related to every output element. Conclusion II: Every input element is related to one element of the output.
Six performers Akash, Bishal, Nisha, Diksha, Esha and Firoz will perform on one day each of six days of the week starting from Monday and ending on Saturday. Nisha will perform on a Tuesday. Akash, Firoz and Bishal will perform one after the other in the same order. Diksha will not perform on a Monday or a Wednesday. How many performers perform after Akash?
As per the RBI Act, 1934, the following functions are described as the functions of a Central Bank:
1. Banking functions
2. Advisory functions
3. Supervisory functions
4. Promotional functions
Identify the correct combination:
Which of the following statements is/are correct? 1. A system is said to be Finite Impulse Response (FIR), if the output samples of the system depend only on the present input and a finite number of past or previous input samples. 2. If the output of a system y(n) depends only on the present input and past inputs, but not on past outputs, then it is called a non-recursive system. 3. If the output of a system y(n) depends only on the present input and past inputs, but not on past outputs, then it is called a recursive system.
In a computer ,a -- can perform both input and output functions
In a company there are 252 engineers, in which the ratio of the number of electronics engineers and computer engineers is 2 ∶ 1. The ratio of the number of electronics engineers and computer engineers becomes 1 ∶ 1 after recruitment of some more computer engineers. The average age of all the engineers is now 22 years and the average age of the computer engineers is 2 years less than the average age of electronics engineers. (A) The average age (in years) of electronics engineers is 21 (B) The average age (in years) of computer engineers is 21 (C) The average age (in years) of electronics engineers is 23 (D) The average age (in years) of electronics engineers is 25 (E) The average age (in years) of computer engineers is 23 Choose the correct answer from the options given below: 
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 ?