International Maths Olympiad Forum By SOF Olympiad Trainer - Page 398
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Yashvi Diya singh from Aps dk, delhi
Subject :IMO    Class : Class 9

Ans 1:

Suhan Pati from Sarala Birla Gyan Jyoti, Guwahati
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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SAMADRITA MITRA from Delhi public school, Kolkata
Subject :IMO    Class : Class 3

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Srishti from National Public School, Bengaluru
Subject :IMO    Class : Class 1

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Ketaki Subhash Ghatol from CSA Satara, Satara
Class : Class 8
H

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Bimal Ch Mondal from Jyoti Shishu Vihar, Natunpally Sonarpur - 700150
Subject :IMO    Class : Class 6

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nimay gupta from Shiv Nadar School, noida
Subject :IMO    Class : Class 7

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VANSH PAMNANI from CAREER POINT WORLD SCHOOL, BILASPUR
Subject :IMO    Class : Class 6
Q

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VANSH PAMNANI from CAREER POINT WORLD SCHOOL, BILASPUR
Subject :IMO    Class : Class 6
Q

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Madhuranjan from Kvs , Sulur
Subject :IMO    Class : Class 3

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Ananya from Delhi public school Ghaziabad, Ghaziabad
Subject :IMO    Class : Class 4

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Agastya Tripathi from dps gurgaon, Gurgaon
Subject :IMO    Class : Class 6

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Aashish Jitendra Kumar from DPS Noida, Noida
Class : Class 6
how the above 3 has line of symmetry , It's lower part is bigger than above one

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Saidutta Sidhesh S M from RN PODAR, Mumbai
Class : Class 10

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