16) There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B. (At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely? a) 26 hrs b) 25 hrs c) 5 hrs d) 27 hrs

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How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? Can you help Alok find the answer? a) 100 b) 125 c) 75 d) 85

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10) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 Where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur? a) 17 b) 21.25 c) 12.25 d) 12.06 Ans: b

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If one always ought to act so as to produce the best possible circumstances, then morality is extremely demanding. No one could plausibly claim to have met the requirements of this "simple principle." . . . It would seem strange to punish those intending to do good by sentencing them to an impossible task. Also, if the standards of right conduct are as extreme as they seem, then they will preclude the personal projects that humans find most fulfilling. From an analytic perspective, the potential extreme demands of morality are not a "problem." A theory of morality is no less valid simply because it asks great sacrifices. In fact, it is difficult to imagine what kind of constraints could be put on our ethical projects. Shouldn't we reflect on our base prejudices, and not allow them to provide boundaries for our moral reasoning? Thus, it is tempting to simply dismiss the objections to the simple principle. However, in Demands of Morality, Liam Murphy takes these objections seriously for at least two distinct reasons. First, discussion of the simple principle provides an excellent vehicle for a discussion of morality in general. Perhaps, in a way, this is Murphy's attempt at doing philosophy "from the inside out.". . . Second, Murphy's starting point tells us about the nature of his project. Murphy must take seriously the collisions between moral philosophy and our intuitive sense of right and wrong. He [must do so] because his work is best interpreted as intended to forge moral principles from our firm beliefs, and not to proscribe beliefs given a set of moral principles. [Murphy] argues from our considered judgments rather than to them. . . For example, Murphy cites our "simple but firmly held" beliefs as supporting the potency of the over- demandingness objection, and nowhere in the work can one find a source of moral values divorced from human preferences. Murphy does not tell us what set of "firm beliefs" we ought to have. Rather, he speaks to an audience of well- intentioned but unorganized moral realists, and tries to give them principles that represent their considered moral judgments. Murphy starts with this base sense of right and wrong, but recognizes that it needs to be supplemented by reason where our intuitions are confused or conflicting. Perhaps Murphy is looking for the best interpretation of our convictions, the same way certain legal scholars try to find the best interpretation of our Constitution. This approach has disadvantages. Primarily, Murphy's arguments, even if successful, do not provide the kind of motivating force for which moral philosophy has traditionally searched. His work assumes and argues in terms of an inner sense of morality, and his project seeks to deepen that sense. Of course, it is quite possible that the moral viewpoints of humans will not converge, and some humans have no moral sense at all. Thus, it is very easy for the moral skeptic to point out a lack of justification and ignore the entire work. On the other hand, Murphy's choice of a starting point avoids many of the problems of moral philosophy. Justifying the content of moral principles and granting a motivating force to those principles is an extraordinary task. It would be unrealistic to expect all discussions of moral philosophy to derive such justifications. Projects that attempt such a derivation have value, but they are hard pressed to produce logical consequences for everyday life. In the end, Murphy's strategy may have more practical effect than its first-principle counterparts, which do not seem any more likely to convince those that would reject Murphy's premises. 1) The author suggests that the application of Murphy's philosophy to the situations of two different groups: a) would help to solve the problems of one group but not of the other. b) could result in the derivation of two radically different moral principles. c) would be contingent on the two groups sharing the same fundamental beliefs. d) could reconcile any differences between the two groups. 2) Suppose an individual who firmly believes in keeping promises has promised to return a weapon to a person she knows to be extremely dangerous. According to Murphy, which of the following, if true, would WEAKEN the notion that she should return the weapon? a) She also firmly believes that it is morally wrong to assist in any way in a potentially violent act. b) She believes herself to be well-intentioned in matters of right and wrong. c) The belief that one should keep promises is shared by most members of her community. d) She derived her moral beliefs from first-principle ethical philosophy. 3) The passage implies that a moral principle derived from applying Murphy's philosophy to a particular group would be applicable to another group if: a) the first group recommended the principle to the second group. b) the moral viewpoints of the two groups do not converge. c) the members of the second group have no firmly held beliefs. d) the second group shares the same fundamental beliefs as the first group. 4) According to the passage, the existence of individuals who entirely lack a moral sense: a) confirms the notion that moral principles should be derived from the considered judgments of individuals. b) suggests a potential disadvantage of Murphy's philosophical approach. c) supports Murphy's belief that reason is necessary in cases in which intuitions are conflicting or confused. d) proves that first-principle strategies of ethical theorizing will have no more influence over the behavior of individuals than will Murphy's philosophical approach. 5) Which of the following can be inferred about "doing philosophy from the inside out?" a) Murphy was the first philosopher to employ such an approach. b) It allows no place for rational argument in the formation of ethical principles. c) It is fundamentally different from the practice of first-principle philosophy. d) It is designed to dismiss objections to the "simple principle." 6) A school board is debating whether or not to institute a dress code for the school's students. According to Murphy, the best way to come to an ethical decision would be to: a) consult the fundamental beliefs of the board members. b) analyze the results of dress codes instituted at other schools. c) survey the students as to whether or not they would prefer a dress code. d) determine whether or note a dress code has ever been instituted in the school's history.

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Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0- move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2- move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top

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36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is a)12 b)11 c)13 d)18

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A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?

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7 dogs have got 7 puppies each.Each puppy got 7 kittens as friends.They are all members of a club along with me.What is the strength of the club?

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Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The MINIMUM value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is a) 3 b)5 c)2 d)8

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#include int a; { printf{"%d",&a); }

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Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 19 points in the plane is 18 9 3

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