NitinGurbani's Profile
Genius
402
points

Questions
20

Answers
22

NitinGurbani loves solving puzzles at PuzzleFry.com. I am proud PuzzleFry member and like my time invested in solving brain teasers.
  • One more answer :

    In a microwave, as generally when you run a microwave for ’99’ it runs for 1 minute and 39 seconds and when you run it for ‘100’ it runs for just 1 minute only.  ?

    • 7504 views
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    • 2 votes
  • Solution:

    The teacher tells her students that she will give the student a detention who skips the quiz and whose name comes alphabetically first. Now, as per the logic says, this student won’t skip the quiz because he knows he is getting a detention if he does skip the quiz. The next students coming alphabetically in the order will then automatically know that they will get a detention so they won’t skip either, and this would continue so on till the end.

    This trick would force all the students to give the quiz.  ?

    • 3474 views
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  • Solution:

    There are two things to keep in mind:
    Firstly there is at least one red hat. (There can be two or three as well)
    Secondly the competition is fair enough for everyone. (As stated by the faculty)

    Thus if there is only one red hat, that person will see two green hats on the other persons’ heads and will be able to deduce his own color as red. However the other students will see one red and one green hat and thus they can never be sure. In such a manner, the competition will prove to be partial for one student.

    Suppose if there are two red hats. Then the students who are wearing red hats will see one red and one green hat on others. Now they must have deduced that there can’t be just one red hat. Thus they will know that they are also wearing a red hat. But the one who is wearing a green hat will see two red hats and can never be sure of his own color. In this case as well, the competition will not be fair.

    Thus the only possible and fair means is if all of them are wearing a red hat. The one who is able to deduce the situation first, will raise his hand and will tell the correct answer.

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    • 2 answers
    • 1 votes
  • Four Candles
    Reason –  As the window was closed it is obvious that the six candles that were not extinguished were lit till they melted down completely. Thus only the four candles that were extinguished remain in the end.  ?

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  • The answer is 1653 runs.

    Explanation:
    For an ideal case scenario, the (opening) batsman will hit a six on each ball. But if he hits a six on the last ball of the over, the strike will no longer remain with him in the next over. Thus, the best thing he can do on the last ball is to run 3 runs so that he retains the strike with him even in the next over(s). Thus the total runs that he can score in each over:
    (6 * 5) + 3 = 33 runs.
    But this will have to continue like above only till the 49th over; this is the actual twist, as in the last over, he can hit a six on the last ball as well because that will be the last ball of the match (and there is no purpose of giving the strike to the other batsman before the over ends).
    Thus runs for the last over will be  6 * 6 = 36 runs.
    Therefore, the maximum runs will be  (33 * 49) + 36 = 1653 runs.  (Theoretically)

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  • Anybody will prefer the shop in the eastern market for sure. There are two reasons for it:
    Firstly, since there are only two barbers in the town, the one running the shop in eastern market must have gotten his hair done by the one running the shop in the northern market and vice versa. Thus, if the barber in the eastern market has a shabby haircut, it must be due to the incompatibility.
    Secondly, the neat and clean shop can be due to the scarcity of customers as well. While the untidy place refers to the fact that so many customers get their hair done in that shop.

    Thus any one will opt for the barber shop in the eastern market.

    • 2616 views
    • 2 answers
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  • Solution:

    Let us first calculate the total number of matches that will be played:
    9C2 * 2
    = 9! / (2!7!) * 2
    = 8 * 9
    = 72
    Therefore, every team will play 16 matches.

    Let us now glance over the cases that are possible ==>

    Case 1:
    Let us say that Team A, Team B and Team C wins 14 matches each
    (they lose 1 match each from the other two teams),
    then the Team D can win only (16 – 3 * 2) = 10 matches.

    Case 2:
    Suppose that, the top 4 teams win 13 matches each.
    Team A will win 13 matches and will lose 3 matches from Team B, Team C and Team D.
    Team B will win 13 matches and will lose 3 matches from Team A, Team C and Team D.
    Team C will win 13 matches and will lose 3 matches from Team A, Team B and Team D.
    Team D will win 13 matches and will lose 3 matches from Team A, Team B and Team C.

    If this case actually happens, then the Team E will be able to win 8 matches at maximum
    as Team A, Team B, Team C and Team D will win all the matches played against Team E.

    Case 3:
    Suppose that, the top 5 teams win 12 matches each.
    Team A will win 12 matches and will lose 3 matches from Team B, Team C, Team D and Team E.
    Team B will win 12 matches and will lose 3 matches from Team A, Team C, Team D and Team E.
    Team C will win 12 matches and will lose 3 matches from Team A, Team B, Team D and Team E.
    Team D will win 12 matches and will lose 3 matches from Team A, Team B, Team C and Team E.
    Team E will win 12 matches and will lose 3 matches from Team A, Team B, Team C and Team D.

    If this case actually happens, Team E will win 12 matches but it still won’t be able to get into the
    playoffs assuming that it has the lowest run rate among all.

    This implies that from case 2, it is evident that a team must win at least 13 matches to confirm
    its position in the playoffs.

    Thank You.

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  • These are the two possible solutions.
    This is usually solved with guesswork and checks, although using logic may be faster. We know that each queen must be in it’s own row vertically and horizontally. We also know that 4 of the queens must be on white and 4 on black. This is true as because with 4 queens on the same color all of the rest of that colored squares are vulnerable to be attacked. (It could be done with maths.)

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  • It was still Mt. Everest, though not discovered but it still remains the highest mountain in the world.
    As for example – Highest truth in the world though not discovered yet but it still remains the highest among all the truths in the world.

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  • You can easily understand it, this way –>
    The most common answer is simply that a round manhole cover can’t fall into the hole it covers.

    But I did tell you that there’s more than one answer. Heavy, round manhole covers are easier for one person to move by standing it on end and rolling. Also, you don’t have to “align” a manhole cover to it’s hole. Any orientation will do.

    My friend’s late father, a mechanical engineer, claimed an answer I hadn’t heard before : that round manhole covers are easier to manufacture. That’s a nifty answer and it would have done great in the interview except he also claimed that was the only reason and all the others were wrong. Whoops.

    And for the record, round is not the ONLY shape that can’t fall into its hole. There’s a class of such shapes referred to as “Reuleaux polygons“. The common characteristic is that they share a constant width or diameter.

    • 17533 views
    • 2 answers
    • 1 votes