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Frequently Asked Microsoft Placement Papers with Solution Page 7

(#M40000215) MICROSOFT QUESTION Keep an EYE

Pairs of primes separated by a single number are called prime pairs.
Examples are 17 and 19.
Prove that the number between a prime pair is always divisible by 6 (assuming both numbers in the pair are greater than 6). Now prove that there are no prime triples.

Asked In Microsoft Naveen (15 years ago)

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(#M40018519) MICROSOFT QUESTION Brain Teaser ONN #1 Keep an EYE

how many 7 digit numbers are there that they have no repeating digit & not include digit 3 & 9?

Asked In Microsoft Satyabrata Chatterjee (12 years ago)

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(#M40007993) MICROSOFT QUESTION analytical Keep an EYE

Given a rectangular (cuboidal for the puritans) cake with a rectangular piece removed (any size or orientation), how would you cut the remainder of the cake into two equal halves with one straight cut of a knife ?

Asked In Microsoft (13 years ago)

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(#M40000095) MICROSOFT QUESTION Keep an EYE

You have two jars, 50 red marbles and 50 blue marbles. A jar will be picked at random, and then a marble will be picked from the jar. Placing all of the marbles in the jars, how can you maximize the chances of a red marble being picked? What are the exact odds of getting a red marble using your scheme?

Asked In Microsoft (15 years ago)

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