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The probability that Mohan can solve a mathematical problem is 2/3 and Sohan can solve the same problem is 3/4. If both Mohan and Sohan work on this problem, then what is the probability that the problem gets solved.
Consider the following with reference to Article 18? (a) No title, not being a military or academic distinction, shall be conferred by the State. (b) The citizen of India shall accept any title from any foreign State. (c) No person who is not a citizen of India shall, while he holds any office of profit or trust under the State, accept without the consent of the President any title from any foreign State. (d) The person holding any office of profit or trust under the State shall, without the consent of the President, accept any present, emolument, or office of any kind from or under any foreign State.
Which of the following statements are TRUE? 1. The problem of determining whether there exists a cycle in an undirected graph is in P. 2. The problem of determining whether there exists a cycle in an undirected graph is in NP. 3. If a problem A is NP-Complete, there exists a non-deterministic polynomial time algorithm to solve A.
"Too often we try to solve human problem with non-human tools and in terms of non-human data. It is my simple thesis that a human problem requires a human solution. First we have to learn to recognise a human problem when we see one; and second, upon recognising it, we have to learn to deal with it as such and not as it were something else. A human problem to be brought to a human solution requires human data and human tools". Who said this?
Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer : Statement : "Best way to solve this problem of workers' dissatisfaction is to offer them cash rewards. If this type of incentive can solve the problem in CIDCO Company then why not here." - A Personnel Manager tells the Chairman of a company. Assumptions : I. The reason for workers' dissatisfaction in both the companies was similar. II. Monetary incentives have universal appeal.
Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer :

Statement : "Best way to solve this problem of workers' dissatisfaction is to offer them cash rewards. If this type of incentive can solve the problem in CIDCO Company then why not here." - A Personnel Manager tells the Chairman of a company.

Assumptions :
I. The reason for workers' dissatisfaction in both the companies was similar.
II. Monetary incentives have universal appeal.
State true or false? Statement: If a problem X is in NP and a polynomial time algorithm for X could also be used to solve problem Y in polynomial time, then Y is also in NP.
The following sentences form a paragraph. These four parts are numbered as P, Q, R and S. They are not given in their proper order. Read the sentences and choose the alternative that arranges them in correct order. P. Inverse problem refers to the scientific problem of estimating the different causes that led to a particular outcome.  Q. This is in contrast to the forward or the direct problem where scientists try to find the outcome that results from a series of causes. R. A scientist observing a photograph, for instance, would be faced with the inverse problem while trying to figure out the various causal factors that combined to form the final photograph. The inverse problem is applied to understand processes in a wide variety of sciences. S. Scientists trying to understand an observation may at times have to work backwards to estimate the causal factors behind it.
Consider the following statements:
1. Parliament shall, while a proclamation of Emergency is in operation, have the power to make laws of the whole or any part of territory of India with respect to any of the matters enumerated in the list
2. Parliament has exclusive power to make any law with respect to any matter not enumerated in the Concurrent List or State List
3. Parliament has power to make any law for the whole or any part of the territory of India for implementing any treaty, agreement, or convention with any other country
4. Parliament has power to legislate with respect to a matter in the State List in the national interest subject to the resolution passed by the Council of States by two-thirds majority
Which of these statements are correct?
Given a rod of length n and the selling prices of all pieces smaller than equal to n, find the most beneficial way of cutting the rod into smaller pieces. This problem is called the rod cutting problem. Which of these methods can be used to solve the rod cutting problem?