Question of the week 21-Feb-2018

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The number of integer values of "m" between 1 and 1000 such that the value of the below expression again an integer is
 a) 30      b) 31       c) 32         d) None of the above.

Answer to the previous week question here. I am sure you all might have taken coaching in coaching centers on how to approach similar problems. However, i want to take you to the next level of thinking and different way of asking similar questions. This question is part of my upcoming book and it is solvable in less than 30 seconds. Your answer only with a logical explanation is welcomed in the comments section. I am making sure that my upcoming book is with many such beautiful problems. Reading it will provoke new thoughts and bring out the best in you

Note: I am planning not to publish the answers, except the questions, hereafter until my book is ready so that you guys can come with original and novel thoughts and solutions. What do you say? Your comments please.

Comments

  1. UnknownFebruary 21, 2018 at 7:40 PM

    This comment has been removed by the author.

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  2. UnknownFebruary 21, 2018 at 7:40 PM

    Sir when will you release your book

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  3. AnonymousFebruary 21, 2018 at 9:07 PM

    c.32

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    1. AnonymousFebruary 21, 2018 at 9:21 PM

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  4. AnonymousFebruary 26, 2018 at 9:17 PM

    book kab tak aajaegi plzzz sabhi ko clear kar do sir....plzzzz all readers of this blog waiting..............

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  5. UnknownSeptember 7, 2018 at 5:13 PM

    30,because last expression will be x^2-x-y=0,and in this expression roots will be real if y =30,i.e 6 and 5

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