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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: 2 real challenges
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Prakriteesh (153)

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 x and y are two integers such that 1<x<y and x+y<100. A person P knows the value of xy, while another person S knows that of x+y. They have the following conversation between them:
P: I can't find the numbers.
S: I knew you couldn't find them.
P: Thanks man, Now I can determine them.
S: So can I.
 
  WHAT ARE THE NUMBERS?
 
Well, the solution to this problem involves some lengthy calculations and computer assistance may be required. So, I am not asking for the solution. Just devise a way how to proceed.
_______________________________________________________________
 
 
A coin is tossed repeatedly until either 5 heads or 5 tails have appeared. If n is the number of ways this can be done, then the divisors of n is:
a)6    b)12    c)18   d)20
 

Let us build a new world with love, peace, happiness and engineering! (DON'T CHOOSE THE ODD ONE OUT)

Freshman, Bits-Pilani Goa Campus (Msc Physics)




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Prakriteesh (153)

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I am giving a hint for the first problem: xy can't be a prime no. as 1<x<y. Nor, can xy be the product of two prime numbers, otherwise P would have been able to find the two numbers.

Let us build a new world with love, peace, happiness and engineering! (DON'T CHOOSE THE ODD ONE OUT)

Freshman, Bits-Pilani Goa Campus (Msc Physics)




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anit_sahu (136)

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in the 2nd question u are asking the total no of divsors or simply the divisors
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aman23iit (191)

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hi friend its eazy if you know the value of xy and the value of x+y the you will get a quadratic in x and y but you have to neglect the value the comes out negative and you have to take the positive value
the ans to 2 is a,b,c as you can aciev this
suppose you have 10 box and 5 head and 5 tails then the number of ways by which they can be arranged is 10!/5!5!
hence the ans
bye
 
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