Tag Archives: SMO

[Soln] 2014 Singapore MO (Open Rd 1) Problem 21

2014 SMO (Open-Rd1) 21. Let be an arithmetic progression such that . Find the largest possible value of the following expression:

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[Hints] 2014 Singapore MO (Open Rd 1) Problem 21

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2014 Singapore MO (Open Rd 1) Problem 21

2014 SMO (Open-Rd1) 21. Let be an arithmetic progression such that . Find the largest possible value of the following expression:

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[Soln] 2014 Singapore MO (Open Rd 1) Problem 16

2014 SMO (Open-Rd1) 16. Let be a triangle with , , and . Assume that . Find the value of

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[Hints] 2014 Singapore MO (Open Rd 1) Problem 16

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2014 Singapore MO (Open Rd 1) Problem 16

2014 SMO (Open-Rd1) 16. Let be a triangle with , , and . Assume that . Find the value of

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[Soln] 2014 Singapore MO (Open Rd 1) Problem 15

2014 SMO (Open-Rd1) 15. Find the largest even four-digit perfect square whose units digit exceeds the tens digit by 1 and whose thousands digit exceeds the hundreds digit by 1.

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