International Maths Olympiad Forum By SOF Olympiad Trainer - Page 410

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Subject :IMO    Class : Class 5

Ans 1:

Class : Class 5
,difficult

Ans 2:

Class : Class 5
OMG It is so tough Does someone no the answerIf yes, for god sake please tell the solution because the SOF people have not given it in the answer sheet.

Ans 3:

Class : Class 5
ez

Ans 4:

Class : Class 5
so ez

Ans 5:

Class : Class 5

Ans 6:

Class : Class 6

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Subject :IMO    Class : Class 9

Ans 1:

Class : Class 9
the answer is 0 . i hope you know the formula a^3 + b^3 + c^3 - 3abc =0 , when a+b+c = 0. take x-a = p, x-b=q and x-c=r. so a/q we have to find p^3 + q^3 + r^3 - 3pqr. now notice p+ q+ r= x-a+x-b+x-c = 3x-a-b-c = 0. so p^3 + q^3 + r^3 - 3pqr =0 as p+q+r=0

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Subject :IMO    Class : Class 3

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Subject :IMO    Class : Class 1

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 7

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Subject :IMO    Class : Class 6
Q

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Subject :IMO    Class : Class 6
Q

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Subject :IMO    Class : Class 3

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Subject :IMO    Class : Class 4

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