Xtreme Maths

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Puys ...This thread i am opening for discussing problems of higher difficulty level .Intresting and lovely problems . Those people who are intrested to participate on this thread can come here ..rest can seek help if they need and the other junt...
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i dint get????????

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Hi everyone. I guess question 2 can b solved in an easy way.
If 11 divides a+13b , 11 divides a+2b
If a+11b is divisible by 13, a-2b is divisible by 13
Now, lets choose random values of a+2b and a-2b,
Let a+2b=22, a-2b=13, this does give integral soln
lets take a+2b=33 , a-2b=13 or a=23 and b=5
This is the least +ve value of a and b
Hence a+b=23

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Great attempt Krish 😃 ..I dont have the solution for this question though.

Now tell me how can you say that PC is a straight line and eventually that DPCB has to be a quadrilatral ?I dont think u can zero in upon that ?

well Infact PC is a circular arc bulging outwards ... but am not sure how to calculate the area of the circular arc ...
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No my dear ...I m afraid stiil not correct.......

Well , it will b tuff to prove that it is a unique value without th help of a compuer program 😃 , u dont need to do tht ..Just gimmeee that 1 value

This is certainly tedious i know . Get me the number .. anyone ???
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Is the answer to this one:
/24??

Please post the full solution nd concept .I don have the final ans for this.
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virtualvishal Says
is the answer 360...i think it is right:grab: :

No my dear ...I m afraid stiil not correct.......

Well , it will b tuff to prove that it is a unique value without th help of a compuer program 😃 , u dont need to do tht ..Just gimmeee that 1 value
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krsh.vik Says
Is it 390?

is the answer 360...i think it is right:grab: :
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Folks solve this prob :)

A point is randomly selected in a square. What is the probability that the angle from the closest vertice of the square to the random point to the next closest vertice is greater than or equal to 120 degrees

Is the answer to this one:
/24??

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krsh.vik Says
Is it 390?

Krish this is not the ans .. try again ..:)
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Editing : Posted on wrong forum

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