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Consider a non-homogeneous system of linear equations representing mathematically an overdetermined system. Such a system will be

Consider a non-homogeneous system of linear equations representing mathematically an overdetermined system. Such a system will be Correct Answer consistent having many solutions

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In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if theyseem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Some polynomials are linear equations.
(II) Some linear equations are quadratic. Conclusion:
(I) Polynomials are quadratic.
(II) Linear equations are quadratic.
The Coordinator of an International Virtual Conference has planned six guest lectures on different areas-Cryptography, Fluid Dynamics, Big Data Analysis, Wavelet Theory, Differential Equations and Linear Algebra-to be organised only one on each day from Monday to Sunday.  Wavelet Theory should be organised immediately after Differential Equations.  Big Data Analysis should be organised on Wednesday and should not be followed by Linear Algebra.  Fluid Dynamics should be organised on Friday and there should be a gap of two days between Cryptography and Linear Algebra.  One day there will be no lecture (Saturday is not that day), and just before that day Linear Algebra will be organised. How many lectures are organised between Big Data Analysis and Wavelet Theory? 
Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ?
How can we find the solution of a nonhomogeneous system of equations without dealing with the rank of matrices?
Consider a discrete-time system which satisfies the additivity property, i.e., if the output for u1[n] is y1[n] and that for u2[n] is y2[n], then output for u1[n] + u2[n] is y1[n] + y2[n]. Such a system is : 1. Linear 2. Non-linear 3. Sometimes Linear and Sometimes non-linear
Consider the following statements: 1. The Chairperson of a Panchayat at the district level is elected in such manner as the Legislature of the State may provide. 2. Legislature of a State may provide for representation of members of the Legislative Assembly of the State representing constituencies which comprise wholly or partly a Panchayat area at a level other than the village level, in such Panchayat. 3. The Lok Sabha may provide for the representation of its members representing constituencies which comprise wholly or partly a Panchayat area at a level other than the village level, in such Panchayat. Which of the statements given above is/are correct?
In the given question, a part of the sentence is printed in bold. Below the sentence, three alternatives to the bold part are given which may help improve the sentence. Choose the option that reflects the correct use of the phrase in the context of the sentence. In case the given sentence is correct, your answer is (E) i.e. No correction required. At first glance, it seems implausible that such an intricately engineered bio system such as our could have come about merely as a result of random modifications. i. such an intricately engineered bio system as ours ii. such intricately engineered bio system such as our iii. such intricately engineered bio system such as ours
The solution of the simultaneous linear equations 2x + y = 6 and 3y = 8 + 4x will also be satisfied by which one of the following linear equations?
Suppose a database schedule 5 involves transactions T1, T2, .............Tn Consider the precedence graph of S with vertices representing the transactions and edges representing the conflicts. If S is serializable, which one of the following orderings of the vertices of the precedence graph is guaranteed to yield a serial schedule ?
Consider the following statements regarding Gini Coefficient. 1. Gini Coefficient only looks at the distribution of incomes or wealth among a nation's residents. 2. Gini Coefficient ranges from 0 to 1, with 0 representing perfect inequality and 1 representing perfect equality. Which of the above statements is/are correct?