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Frequently Asked Microsoft Placement Papers with Solution Page 7

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(#M40000215) MICROSOFT QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

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)
Solved Tijo Jose Read Solution (3)
Is this Puzzle helpful?   (10)   (3) Submit Your Solution

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

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)
Unsolved Read Solution (16)
Is this Puzzle helpful?   (13)   (3) Submit Your Solution permutation and combination
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(#M40007993) MICROSOFT QUESTION analytical Keep an EYE Keep an eye puzzle Keep an eye puzzle

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)
Unsolved Read Solution (4)
Is this Puzzle helpful?   (6)   (1) Submit Your Solution

(#M40000095) MICROSOFT QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

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)
Solved Vadivelan M Read Solution (4)
Is this Puzzle helpful?   (7)   (2) Submit Your Solution Technical
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