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Arf League

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Format of the tags: Problem Code (Difficulty Level)
595A (0.84)
B28E (0.89)
A275 (0.88)
2BE2 (0.71)
218D (0.89)
A13E (0.41)
52D2 (0.93)
79B2 (0.67)
11C8 (0.77)
AC82 (0.63)
C1B5 (0.83)
24B8 (0.84)
6392 (0.97)
615D (0.77)
A836 (0.43)
7B83 (0.84)
E328 (0.7)
B613 (0.96)
EE2C (0.59)
E4C6 (1)
ABBA (0.22)
DAB1 (0.9)
D36C (0.62)
D7C4 (0.53)
A4C5 (0.89)
A378 (0.67)
3DC5 (0.86)
All problems are solved 678 times.
Problem 595A proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
$$\small{A=\frac{1}{1\times2\times3}+\frac{2}{3\times4\times5}+\frac{3}{5\times6\times7}+\cdots+\frac{2016}{4031\times4032\times4033}}$$If $A$ is written in its simplest form as $\frac{a}{b}$, what is $a+b$ $?$ Ah Math

  • Correct answers have been submitted by:
    1. Mohamed Karamany
    2. Jeffrey Robles
    3. Joseph Rodelas
    4. Mahmut Cemrek
    5. Suleyman Akarsu
    6. Yavuz Selim Koseoglu
    7. John Gamal Aziz Attia
    8. Serkan Callioglu
    9. Βαρελάς Γεώρ𝛾ιος
    10. Marvin Cato
    11. Isaiah James de Dios Maling
    12. Joselito Torculas
    13. John Albert A. Reyes
    14. Nheil Ignacio
    15. Gerald M. Pascua
    16. Angelu G. Leynes
    17. Roenz Joshlee Timbol
    18. Rindell Mabunga
    19. Caed Mark Medul Mendoza
    20. Russel J. Galanido
    21. Melga Sonio
    22. Mark Elis Espiridion
    23. Adrian Pilotos Burgos
    24. Sumet Ketsri
    25. Daniel James Molina
    26. Nixon Balandra
    27. Jacob Sabido
    28. Poetri Sonya Tarabunga
    29. John Patrick
    30. Lilanie Monique Torilla
    31. Chris Norman Algo
    32. Christian Daang
    33. Grant Lewis Bulaong
    34. Richard Phillip Dimaala Fernandez
    35. Jake Gacuan
    36. Ibrahim Demir
    37. Christian Paul Patawaran
    38. Amirul Faiz Abdul Muthalib
    39. Norwyn Nicholson Kah
    40. Jhepoy Dizon
    41. Ralph Macarasig
    42. Dan Lang
 
Problem B28E proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Find the smallest natural number $n$ such that the last five digits of the product of $\\$ $n$$\times$935$\times$972$\times$975 are all zero. Ah Math

  • Correct answers have been submitted by:
    1. Jeffrey Robles
    2. Joseph Rodelas
    3. Yavuz Selim Koseoglu
    4. John Gamal Aziz Attia
    5. Mahmut Cemrek
    6. Βαρελάς Γεώρ𝛾ιος
    7. Isaiah James de Dios Maling
    8. Adrian Pilotos Burgos
    9. Joselito Torculas
    10. Nheil Ignacio
    11. Jacob Sabido
    12. Gerald M. Pascua
    13. Russel J. Galanido
    14. John Albert A. Reyes
    15. Roenz Joshlee Timbol
    16. Marvin Cato
    17. Rindell Mabunga
    18. Chris Norman Algo
    19. Melga Sonio
    20. Mark Elis Espiridion
    21. Angelu G. Leynes
    22. Caed Mark Medul Mendoza
    23. Sumet Ketsri
    24. Richard Phillip Dimaala Fernandez
    25. Daniel James Molina
    26. Nixon Balandra
    27. Poetri Sonya Tarabunga
    28. Lilanie Monique Torilla
    29. Christian Daang
    30. Emmanuel David
    31. Christian Paul Patawaran
    32. Jake Gacuan
    33. Ibrahim Demir
    34. Amirul Faiz Abdul Muthalib
    35. Norwyn Nicholson Kah
    36. Joem Canciller
    37. Ralph Macarasig
    38. Jhepoy Dizon
    39. Lim Jing Ren
    40. John Marco Latagan
    41. Dan Lang
 
Problem A275 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
$$A=\small{\frac{1}{2}+\frac{1}{2+4}+\frac{1}{2+4+6}+\cdots+\frac{1}{2+4+6+\cdots+4032}}$$If $A$ is written in its simplest form as $\frac{a}{b}$, what is $a+b$ $?$ Ah Math

  • Correct answers have been submitted by:
    1. Jeffrey Robles
    2. Muhammed Aydo?du
    3. Joseph Rodelas
    4. Mahmut Cemrek
    5. Yavuz Selim Koseoglu
    6. John Gamal Aziz Attia
    7. Isaiah James de Dios Maling
    8. John Albert A. Reyes
    9. Jacob Sabido
    10. Gerald M. Pascua
    11. Joselito Torculas
    12. Nheil Ignacio
    13. Russel J. Galanido
    14. Angelu G. Leynes
    15. Adrian Pilotos Burgos
    16. Roenz Joshlee Timbol
    17. Chris Norman Algo
    18. Rindell Mabunga
    19. Melga Sonio
    20. Mark Elis Espiridion
    21. Marvin Cato
    22. Richard Phillip Dimaala Fernandez
    23. Caed Mark Medul Mendoza
    24. Sumet Ketsri
    25. Nixon Balandra
    26. Daniel James Molina
    27. Poetri Sonya Tarabunga
    28. Lilanie Monique Torilla
    29. Christian Daang
    30. Christian Paul Patawaran
    31. Jake Gacuan
    32. Ibrahim Demir
    33. Amirul Faiz Abdul Muthalib
    34. Norwyn Nicholson Kah
    35. Joem Canciller
    36. Jhepoy Dizon
 
Problem 2BE2 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
What is the units digit of the sum $1^2+2^3+3^4+\cdots+2016^{2017}$ $?$ Ah Math

  • Correct answers have been submitted by:
    1. Angelu G. Leynes
    2. Jeffrey Robles
    3. Isaiah James de Dios Maling
    4. Joselito Torculas
    5. Russel J. Galanido
    6. Marvin Cato
    7. Rindell Mabunga
    8. John Albert A. Reyes
    9. Nheil Ignacio
    10. Caed Mark Medul Mendoza
    11. Sumet Ketsri
    12. Richard Phillip Dimaala Fernandez
    13. Daniel James Molina
    14. Nixon Balandra
    15. Lilanie Monique Torilla
    16. Mark Elis Espiridion
    17. Jacob Sabido
    18. Emmanuel David
    19. Jake Gacuan
    20. Christian Paul Patawaran
    21. Roenz Joshlee Timbol
    22. Ibrahim Demir
    23. Amirul Faiz Abdul Muthalib
    24. Norwyn Nicholson Kah
    25. John Lester Tan
    26. Ralph Macarasig
    27. Jhepoy Dizon
 
Problem 218D proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Find the remainder when $\underbrace{20172017\cdots2017}_{2017\text{ times}}$ is divided by 73. Ah Math

  • Correct answers have been submitted by:
    1. Yavuz Selim Koseoglu
    2. John Gamal Aziz Attia
    3. Mahmut Cemrek
    4. Joseph Rodelas
    5. Jeffrey Robles
    6. Isaiah James de Dios Maling
    7. Nheil Ignacio
    8. Roenz Joshlee Timbol
    9. Marvin Cato
    10. Russel J. Galanido
    11. Joselito Torculas
    12. Melga Sonio
    13. Angelu G. Leynes
    14. Caed Mark Medul Mendoza
    15. Sumet Ketsri
    16. John Albert A. Reyes
    17. Nixon Balandra
    18. Jacob Sabido
    19. Daniel James Molina
    20. Lilanie Monique Torilla
    21. Mark Elis Espiridion
    22. Poetri Sonya Tarabunga
    23. Richard Phillip Dimaala Fernandez
    24. Rindell Mabunga
    25. Jake Gacuan
    26. Grant Lewis Bulaong
    27. Christian Paul Patawaran
    28. Ibrahim Demir
    29. Amirul Faiz Abdul Muthalib
    30. Norwyn Nicholson Kah
    31. John Lester Tan
    32. Joem Canciller
    33. Jhepoy Dizon
 
Problem A13E proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
If $a^2+b^2+c^2+d^2=2017$, what is the minimum value of $$\small{(a+b+c)^2+(b+c+d)^2+(c+d+a)^2+(d+a+b)^2\text{ ?}}$$ Ah Math

  • Correct answers have been submitted by:
    1. Jeffrey Robles
    2. Βαρελάς Γεώρ𝛾ιος
    3. Isaiah James de Dios Maling
    4. Joselito Torculas
    5. Marvin Cato
    6. Russel J. Galanido
    7. Melga Sonio
    8. Nheil Ignacio
    9. Sumet Ketsri
    10. Lilanie Monique Torilla
    11. Nixon Balandra
    12. Caed Mark Medul Mendoza
    13. Poetri Sonya Tarabunga
    14. Rindell Mabunga
    15. Richard Phillip Dimaala Fernandez
    16. Christian Paul Patawaran
    17. Amirul Faiz Abdul Muthalib
    18. Daniel James Molina
    19. Norwyn Nicholson Kah
    20. Jhepoy Dizon
 
Problem 52D2 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Find the value of $$\small{\frac{1}{2}+\frac{1}{3}+\frac{2}{3}+\frac{1}{4}+\frac{2}{4}+\frac{3}{4}+\frac{1}{5}+\cdots+\frac{2015}{2017}+\frac{2016}{2017}}$$ Ah Math

  • Correct answers have been submitted by:
    1. Melek Cimen
    2. Joseph Rodelas
    3. Yavuz Selim Koseoglu
    4. Mahmut Cemrek
    5. Jeffrey Robles
    6. Βαρελάς Γεώρ𝛾ιος
    7. Isaiah James de Dios Maling
    8. John Albert A. Reyes
    9. Nheil Ignacio
    10. Adrian Pilotos Burgos
    11. Joselito Torculas
    12. Rindell Mabunga
    13. Roenz Joshlee Timbol
    14. Marvin Cato
    15. Russel J. Galanido
    16. Angelu G. Leynes
    17. Melga Sonio
    18. Caed Mark Medul Mendoza
    19. Sumet Ketsri
    20. Daniel James Molina
    21. Nixon Balandra
    22. Lilanie Monique Torilla
    23. Mark Elis Espiridion
    24. Christian Daang
    25. Emmanuel David
    26. Jacob Sabido
    27. Poetri Sonya Tarabunga
    28. Richard Phillip Dimaala Fernandez
    29. Grant Lewis Bulaong
    30. Ibrahim Demir
    31. Amirul Faiz Abdul Muthalib
    32. Norwyn Nicholson Kah
    33. Christian Paul Patawaran
    34. Joem Canciller
    35. Ralph Macarasig
    36. Jhepoy Dizon
    37. Lim Jing Ren
 
Problem 79B2 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
If $n$ is a positive even multiple of 5 and $$\small{8^2+10^2+12^2+18^2+20^2+22^2+\cdots+(n-2)^2+n^2+(n+2)^2}$$ is divisible by 9, what is the minumum value of $n$ $ ?$ Ah Math

  • Correct answers have been submitted by:
    1. Yavuz Selim Koseoglu
    2. Mahmut Cemrek
    3. Jeffrey Robles
    4. Nheil Ignacio
    5. Isaiah James de Dios Maling
    6. Joselito Torculas
    7. Rindell Mabunga
    8. Richard Phillip Dimaala Fernandez
    9. Melga Sonio
    10. Angelu G. Leynes
    11. Adrian Pilotos Burgos
    12. Russel J. Galanido
    13. Caed Mark Medul Mendoza
    14. Marvin Cato
    15. Sumet Ketsri
    16. Nixon Balandra
    17. Lilanie Monique Torilla
    18. Mark Elis Espiridion
    19. Jacob Sabido
    20. Christian Daang
    21. Emmanuel David
    22. Poetri Sonya Tarabunga
    23. Roenz Joshlee Timbol
    24. Ibrahim Demir
    25. Christian Paul Patawaran
    26. Amirul Faiz Abdul Muthalib
    27. Norwyn Nicholson Kah
    28. Chris Norman Algo
    29. Daniel James Molina
    30. Joem Canciller
    31. Jhepoy Dizon
    32. Ralph Macarasig
 
Problem 11C8 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
If $a,b,c>0$ and $a+b+c=1$, what is the smallest value of $\frac{1}{a}+\frac{9}{b}+\frac{16}{c}\text{ ?}$ Ah Math

  • Correct answers have been submitted by:
    1. Jeffrey Robles
    2. Edge Ramos
    3. Joseph Rodelas
    4. Isaiah James de Dios Maling
    5. Joselito Torculas
    6. Rindell Mabunga
    7. Roenz Joshlee Timbol
    8. Marvin Cato
    9. Nheil Ignacio
    10. Melga Sonio
    11. Russel J. Galanido
    12. Sumet Ketsri
    13. Caed Mark Medul Mendoza
    14. Daniel James Molina
    15. Nixon Balandra
    16. Lilanie Monique Torilla
    17. Poetri Sonya Tarabunga
    18. Grant Lewis Bulaong
    19. Richard Phillip Dimaala Fernandez
    20. Christian Paul Patawaran
    21. Ibrahim Demir
    22. Amirul Faiz Abdul Muthalib
    23. Norwyn Nicholson Kah
    24. Ralph Macarasig
 
Problem AC82 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Find the value of the following expression.$$1\cdot2+3\cdot4+5\cdot6+\cdots+2017\cdot2018$$ Ah Math

  • Correct answers have been submitted by:
    1. Joseph Rodelas
    2. Jeffrey Robles
    3. Edge Ramos
    4. Isaiah James de Dios Maling
    5. John Albert A. Reyes
    6. Joselito Torculas
    7. Nheil Ignacio
    8. Rindell Mabunga
    9. Marvin Cato
    10. Russel J. Galanido
    11. Chris Norman Algo
    12. Angelu G. Leynes
    13. Melga Sonio
    14. Sumet Ketsri
    15. Nixon Balandra
    16. Caed Mark Medul Mendoza
    17. Lilanie Monique Torilla
    18. Richard Phillip Dimaala Fernandez
    19. Jacob Sabido
    20. Mark Elis Espiridion
    21. Emmanuel David
    22. Poetri Sonya Tarabunga
    23. Christian Paul Patawaran
    24. Ibrahim Demir
    25. Amirul Faiz Abdul Muthalib
    26. Daniel James Molina
    27. Joem Canciller
    28. Norwyn Nicholson Kah
    29. Jhepoy Dizon
 
Problem C1B5 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
What is the sum of the expression $2+3+5+8+13+\cdots+17711\text{ ?}$ Ah Math

  • Correct answers have been submitted by:
    1. John Gamal Aziz Attia
    2. Isaiah James de Dios Maling
    3. Chris Norman Algo
    4. Jeffrey Robles
    5. Joselito Torculas
    6. Melek Cimen
    7. Rindell Mabunga
    8. Angelu G. Leynes
    9. Melga Sonio
    10. Russel J. Galanido
    11. John Albert A. Reyes
    12. Nheil Ignacio
    13. Adrian Pilotos Burgos
    14. Caed Mark Medul Mendoza
    15. Marvin Cato
    16. Sumet Ketsri
    17. Daniel James Molina
    18. Lilanie Monique Torilla
    19. Nixon Balandra
    20. Jacob Sabido
    21. Mark Elis Espiridion
    22. Richard Phillip Dimaala Fernandez
    23. Christian Paul Patawaran
    24. Roenz Joshlee Timbol
    25. Ibrahim Demir
    26. Amirul Faiz Abdul Muthalib
    27. Norwyn Nicholson Kah
    28. Joem Canciller
    29. Ralph Macarasig
    30. Jhepoy Dizon
 
Problem 24B8 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
In the following sequence, find the units digit of the 2017th term$$1,3,4,7,11,18, 29,47,...$$ Ah Math

  • Correct answers have been submitted by:
    1. Isaiah James de Dios Maling
    2. Jeffrey Robles
    3. Richard Phillip Dimaala Fernandez
    4. Joseph Rodelas
    5. Joselito Torculas
    6. Adrian Pilotos Burgos
    7. Rindell Mabunga
    8. Angelu G. Leynes
    9. Nheil Ignacio
    10. Russel J. Galanido
    11. Melga Sonio
    12. John Albert A. Reyes
    13. Caed Mark Medul Mendoza
    14. Marvin Cato
    15. Sumet Ketsri
    16. Nixon Balandra
    17. Daniel James Molina
    18. Lilanie Monique Torilla
    19. Jacob Sabido
    20. Emmanuel David
    21. Poetri Sonya Tarabunga
    22. Roenz Joshlee Timbol
    23. Christian Daang
    24. Christian Paul Patawaran
    25. Ibrahim Demir
    26. Amirul Faiz Abdul Muthalib
    27. Norwyn Nicholson Kah
    28. Joem Canciller
    29. Fred Gutierrez
    30. Ralph Macarasig
    31. Jhepoy Dizon
    32. Lim Jing Ren
 
Problem 6392 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Find the 2017th term of the sequence 1,2,1,1,3,1,1,1,4,1,1,1,1,5,... Ah Math

  • Correct answers have been submitted by:
    1. Sumet Ketsri
    2. Rindell Mabunga
    3. Russel J. Galanido
    4. Joselito Torculas
    5. Nheil Ignacio
    6. Richard Phillip Dimaala Fernandez
    7. Marvin Cato
    8. Jeffrey Robles
    9. Angelu G. Leynes
    10. Caed Mark Medul Mendoza
    11. Isaiah James de Dios Maling
    12. Nixon Balandra
    13. Daniel James Molina
    14. Lilanie Monique Torilla
    15. Jacob Sabido
    16. Mark Elis Espiridion
    17. Christian Daang
    18. John Albert A. Reyes
    19. Emmanuel David
    20. Poetri Sonya Tarabunga
    21. Christian Paul Patawaran
    22. Roenz Joshlee Timbol
    23. Ibrahim Demir
    24. Amirul Faiz Abdul Muthalib
    25. Joem Canciller
    26. Norwyn Nicholson Kah
    27. Fred Gutierrez
    28. Ralph Macarasig
    29. Jhepoy Dizon
    30. Lim Jing Ren
    31. John Marco Latagan
 
Problem 615D proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Evaluate the following expression: $1\times2\times3+2\times3\times4+3\times4\times5+...+31\times32\times33$ Ah Math

  • Correct answers have been submitted by:
    1. Russel J. Galanido
    2. Rindell Mabunga
    3. Richard Phillip Dimaala Fernandez
    4. Joselito Torculas
    5. Jeffrey Robles
    6. Isaiah James de Dios Maling
    7. Caed Mark Medul Mendoza
    8. Nheil Ignacio
    9. John Albert A. Reyes
    10. Lilanie Monique Torilla
    11. Nixon Balandra
    12. Jacob Sabido
    13. Mark Elis Espiridion
    14. Chris Norman Algo
    15. Marvin Cato
    16. Poetri Sonya Tarabunga
    17. Christian Paul Patawaran
    18. Christian Daang
    19. Ibrahim Demir
    20. Amirul Faiz Abdul Muthalib
    21. Roenz Joshlee Timbol
    22. Daniel James Molina
    23. Joem Canciller
    24. Norwyn Nicholson Kah
    25. Ralph Macarasig
    26. Jhepoy Dizon
    27. Sumet Ketsri
 
Problem A836 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Let $A=2016+2017$. How many proper irreducible positive fractions are there whose denominator is $A$? Ah Math

  • Correct answers have been submitted by:
    1. John Gamal Aziz Attia
    2. Jeffrey Robles
    3. Joselito Torculas
    4. Russel J. Galanido
    5. Jacob Sabido
    6. Marvin Cato
    7. Nixon Balandra
    8. Christian Daang
    9. John Albert A. Reyes
    10. Poetri Sonya Tarabunga
    11. Richard Phillip Dimaala Fernandez
    12. Rindell Mabunga
    13. Kimi No Nawa
    14. Caed Mark Medul Mendoza
    15. Lilanie Monique Torilla
    16. Roenz Joshlee Timbol
    17. Isaiah James de Dios Maling
    18. Christian Paul Patawaran
    19. Ibrahim Demir
    20. Amirul Faiz Abdul Muthalib
    21. Norwyn Nicholson Kah
    22. Daniel James Molina
    23. John Rocel Perez
    24. Ralph Macarasig
    25. Jhepoy Dizon
    26. Sumet Ketsri
 
Problem 7B83 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Let $a+b+c=0$. find the value of $$a\cdot\left(\frac{1}{b}+\frac{1}{c}+1\right)+b\cdot\left(\frac{1}{c}+\frac{1}{a}+1\right)+c\cdot\left(\frac{1}{a}+\frac{1}{b}+1\right)+2017$$ Ah Math

  • Correct answers have been submitted by:
    1. Richard Phillip Dimaala Fernandez
    2. Joselito Torculas
    3. Nixon Balandra
    4. Jeffrey Robles
    5. Jacob Sabido
    6. Marvin Cato
    7. Nheil Ignacio
    8. Russel J. Galanido
    9. Caed Mark Medul Mendoza
    10. Lilanie Monique Torilla
    11. Rindell Mabunga
    12. Daniel James Molina
    13. Roenz Joshlee Timbol
    14. Christian Daang
    15. Isaiah James de Dios Maling
    16. Christian Paul Patawaran
    17. Kimi No Nawa
    18. Ibrahim Demir
    19. Amirul Faiz Abdul Muthalib
    20. Norwyn Nicholson Kah
    21. Joem Canciller
    22. John Lester Tan
    23. John Rocel Perez
    24. Ralph Macarasig
    25. Jhepoy Dizon
    26. Lim Jing Ren
    27. Sumet Ketsri
 
Problem E328 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
In the matrix given below, if there are $x$ numbers above 2017 and $y$ numbers to the left of 2017, what is the sum of $x$ and $y$ $?$ $$\matrix{1 & 4 & 5 & 16 & 17 & \cdots \cr 2 & 3 & 6 & 15 & 18 & \cdots \cr 9 & 8 & 7 & 14 & 19 & \cdots \cr 10 & 11 & 12 & 13 & 20 & \cdots \cr 25 & 24 & 23 & 22 & 21 & \cdots \cr 26 & \cdots & \cdots & \cdots & \cdots & \cdots}$$ Ah Math

  • Correct answers have been submitted by:
    1. Kimi No Nawa
    2. Caed Mark Medul Mendoza
    3. Lilanie Monique Torilla
    4. Nixon Balandra
    5. Joselito Torculas
    6. Marvin Cato
    7. Rindell Mabunga
    8. Richard Phillip Dimaala Fernandez
    9. Russel J. Galanido
    10. Jacob Sabido
    11. Isaiah James de Dios Maling
    12. Christian Daang
    13. Chris Norman Algo
    14. Amirul Faiz Abdul Muthalib
    15. Daniel James Molina
    16. Christian Paul Patawaran
    17. Joem Canciller
    18. Norwyn Nicholson Kah
    19. Jeffrey Robles
    20. Jhepoy Dizon
    21. Lim Jing Ren
 
Problem B613 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Find the remainder when $1^{1971}+2^{1971}+3^{1971}+...+2016^{1971}$ is divided by $2017$ $?$ Ah Math

  • Correct answers have been submitted by:
    1. Marvin Cato
    2. Joselito Torculas
    3. Rindell Mabunga
    4. Jacob Sabido
    5. Russel J. Galanido
    6. Richard Phillip Dimaala Fernandez
    7. Nixon Balandra
    8. Roenz Joshlee Timbol
    9. Isaiah James de Dios Maling
    10. Grant Lewis Bulaong
    11. Kimi No Nawa
    12. Lilanie Monique Torilla
    13. Caed Mark Medul Mendoza
    14. Christian Paul Patawaran
    15. Jeffrey Robles
    16. Ibrahim Demir
    17. Christian Daang
    18. Amirul Faiz Abdul Muthalib
    19. Norwyn Nicholson Kah
    20. Chris Norman Algo
    21. Daniel James Molina
    22. John Lester Tan
    23. Ralph Macarasig
    24. Jhepoy Dizon
 
Problem EE2C proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
By using only letters of English alphabet, label one marble 'A', two marbles 'B', three marbles 'C',..., twenty-six marbles 'Z'. Put these$$1+2+3+\cdots+26=351$$labeled marbles in a bag. Marbles are then drawn from the bag at random without replacement. What is the minimum number of marbles that must be drawn to guarantee drawing at least ten marbles with the same label? Ah Math

  • Correct answers have been submitted by:
    1. Joselito Torculas
    2. Rindell Mabunga
    3. Nixon Balandra
    4. Russel J. Galanido
    5. Richard Phillip Dimaala Fernandez
    6. Marvin Cato
    7. Jacob Sabido
    8. Kimi No Nawa
    9. Caed Mark Medul Mendoza
    10. Lilanie Monique Torilla
    11. Jeffrey Robles
    12. Sumet Ketsri
    13. Isaiah James de Dios Maling
    14. Christian Paul Patawaran
    15. Christian Daang
    16. Amirul Faiz Abdul Muthalib
    17. Norwyn Nicholson Kah
    18. Daniel James Molina
    19. Joem Canciller
    20. Ralph Macarasig
    21. Jhepoy Dizon
    22. Lim Jing Ren
 
Problem E4C6 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Find the remainder when $1001\times1002\times1003\times...\times2017$ is divided by $1017!$. Ah Math

  • Correct answers have been submitted by:
    1. Kimi No Nawa
    2. Caed Mark Medul Mendoza
    3. Lilanie Monique Torilla
    4. Joselito Torculas
    5. Russel J. Galanido
    6. Jacob Sabido
    7. Rindell Mabunga
    8. Nixon Balandra
    9. Richard Phillip Dimaala Fernandez
    10. Isaiah James de Dios Maling
    11. Christian Paul Patawaran
    12. Ibrahim Demir
    13. Roenz Joshlee Timbol
    14. Amirul Faiz Abdul Muthalib
    15. Daniel James Molina
    16. Norwyn Nicholson Kah
    17. Jeffrey Robles
    18. Jhepoy Dizon
    19. Ralph Macarasig
 
Problem ABBA proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
How many pairs of distinct integers between 1 and 2017 inclusively have their products as multiple of 6? Ah Math

  • Correct answers have been submitted by:
    1. Russel J. Galanido
    2. Isaiah James de Dios Maling
    3. Rindell Mabunga
    4. Caed Mark Medul Mendoza
    5. Amirul Faiz Abdul Muthalib
    6. Lilanie Monique Torilla
    7. Nixon Balandra
    8. Richard Phillip Dimaala Fernandez
    9. Daniel James Molina
    10. Christian Paul Patawaran
    11. Norwyn Nicholson Kah
    12. Jeffrey Robles
    13. Joselito Torculas
    14. Jhepoy Dizon
    15. Lim Jing Ren
 
Problem DAB1 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
An integer $x$ plus 1971 is the square of a positive integer, and $x$ minus 46 is the square of another positive integer. Find the value of $x$. Ah Math

  • Correct answers have been submitted by:
    1. Rindell Mabunga
    2. Russel J. Galanido
    3. Roenz Joshlee Timbol
    4. Amirul Faiz Abdul Muthalib
    5. Caed Mark Medul Mendoza
    6. Lilanie Monique Torilla
    7. Isaiah James de Dios Maling
    8. Nixon Balandra
    9. Richard Phillip Dimaala Fernandez
    10. Christian Paul Patawaran
    11. Daniel James Molina
    12. Joem Canciller
    13. Norwyn Nicholson Kah
    14. Joselito Torculas
    15. Jeffrey Robles
    16. Ralph Macarasig
    17. Jhepoy Dizon
    18. Lim Jing Ren
 
Problem D36C proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Let $x$ be a real number and$$A=\sqrt{x^2-26x+170}+\sqrt{x^2-52x+1700}.$$What is the square of the minimum value of $A$ $?$ Ah Math

  • Correct answers have been submitted by:
    1. Amirul Faiz Abdul Muthalib
    2. Isaiah James de Dios Maling
    3. Daniel James Molina
    4. Richard Phillip Dimaala Fernandez
    5. Rindell Mabunga
    6. Norwyn Nicholson Kah
    7. John Lester Tan
    8. Joselito Torculas
    9. Jeffrey Robles
    10. Ralph Macarasig
    11. Jhepoy Dizon
    12. Kimi No Nawa
    13. Caed Mark Medul Mendoza
    14. Lilanie Monique Torilla
    15. Nixon Balandra
    16. Russel J. Galanido
 
Problem D7C4 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
How many $x$ values are there which makes $\sqrt{2017-\sqrt{x}}$ an integer? Ah Math

  • Correct answers have been submitted by:
    1. Amirul Faiz Abdul Muthalib
    2. Norwyn Nicholson Kah
    3. Kimi No Nawa
    4. Isaiah James de Dios Maling
    5. Joselito Torculas
    6. Daniel James Molina
    7. Jeffrey Robles
    8. Richard Phillip Dimaala Fernandez
    9. Ralph Macarasig
    10. Rindell Mabunga
    11. Caed Mark Medul Mendoza
    12. Lilanie Monique Torilla
    13. Jhepoy Dizon
    14. Nixon Balandra
    15. Russel J. Galanido
    16. Lim Jing Ren
 
Problem A4C5 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
$$A=\left(1-\frac{1}{2^2}\right)\cdot\left(1-\frac{1}{3^2}\right)\cdot...\cdot\left(1-\frac{1}{2017^2}\right)$$If $A$ is written in its simplest form as $\frac{a}{b}$, what is the sum of $a$ and $b$ $?$ Ah Math

  • Correct answers have been submitted by:
    1. Amirul Faiz Abdul Muthalib
    2. Joselito Torculas
    3. Jeffrey Robles
    4. Norwyn Nicholson Kah
    5. Richard Phillip Dimaala Fernandez
    6. Sumet Ketsri
    7. Ralph Macarasig
    8. Kimi No Nawa
    9. Rindell Mabunga
    10. Caed Mark Medul Mendoza
    11. Lilanie Monique Torilla
    12. Nixon Balandra
    13. Isaiah James de Dios Maling
    14. Russel J. Galanido
    15. Jhepoy Dizon
    16. Lim Jing Ren
    17. Daniel James Molina
 
Problem A378 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Find the sum of all real numbers $x$ for which$$1953^x+1954^x+...+1984^x=1985^x+1986^x+...+2015^x.$$ Ah Math

  • Correct answers have been submitted by:
    1. Amirul Faiz Abdul Muthalib
    2. Isaiah James de Dios Maling
    3. Joselito Torculas
    4. Jhepoy Dizon
    5. Jeffrey Robles
    6. Ralph Macarasig
    7. Norwyn Nicholson Kah
    8. Daniel James Molina
    9. Richard Phillip Dimaala Fernandez
    10. Russel J. Galanido
 
Problem 3DC5 proposed by
Ahmet Arduc 500 hkd/h | Registered Teacher in HK | 🌐
Find the coefficient of $x^2$ when$$\left(1+x\right)\left(1+2x\right)\left(1+4x\right)\cdots\left(1+2^9x\right)$$is expanded $?$ Ah Math

 
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Score Table - Math Enthusiasts

Order Names Country # of Correct Answers
1.Joselito Torculas PhilippinesPhilippines 27
2.Russel J. Galanido South KoreaSouth Korea 27
3.Amirul Faiz Abdul Muthalib MalaysiaMalaysia 27
4.Richard Phillip Dimaala Fernandez PhilippinesPhilippines 27
5.Isaiah James de Dios Maling PhilippinesPhilippines 27
6.Daniel James Molina PhilippinesPhilippines 26
7.Norwyn Nicholson Kah PhilippinesPhilippines 26
8.Jeffrey Robles PhilippinesPhilippines 26
9.Nixon Balandra PhilippinesPhilippines 25
10.Rindell Mabunga PhilippinesPhilippines 25
11.Lilanie Monique Torilla PhilippinesPhilippines 25
12.Jhepoy Dizon PhilippinesPhilippines 25
13.Caed Mark Medul Mendoza PhilippinesPhilippines 25
14.Christian Paul Patawaran PhilippinesPhilippines 22
15.Ralph Macarasig PhilippinesPhilippines 20
16.Sumet Ketsri ThailandThailand 19
17.Marvin Cato PhilippinesPhilippines 19
18.Jacob Sabido PhilippinesPhilippines 18
19.Roenz Joshlee Timbol PhilippinesPhilippines 17
20.Ibrahim Demir TurkeyTurkey 17
21.Nheil Ignacio PhilippinesPhilippines 15
22.Joem Canciller PhilippinesPhilippines 14
23.Poetri Sonya Tarabunga IndonesiaIndonesia 13
24.Christian Daang PhilippinesPhilippines 13
25.John Albert A. Reyes PhilippinesPhilippines 12
26.Mark Elis Espiridion PhilippinesPhilippines 11
27.Melga Sonio PhilippinesPhilippines 11
28.Lim Jing Ren MalaysiaMalaysia 11
29.Angelu G. Leynes PhilippinesPhilippines 11
30.Chris Norman Algo PhilippinesPhilippines 10
31.Kimi No Nawa JapanJapan 9
32.Joseph Rodelas PhilippinesPhilippines 8
33.Adrian Pilotos Burgos PhilippinesPhilippines 7
34.Emmanuel David PhilippinesPhilippines 7
35.Yavuz Selim Koseoglu TurkeyTurkey 6
36.Mahmut Cemrek TurkeyTurkey 6
37.John Gamal Aziz Attia EgyptEgypt 6
38.Grant Lewis Bulaong PhilippinesPhilippines 5
39.Jake Gacuan PhilippinesPhilippines 5
40.John Lester Tan PhilippinesPhilippines 5
41.Βαρελάς Γεώρ𝛾ιος GreeceGreece 4
42.Gerald M. Pascua PhilippinesPhilippines 3
43.John Marco Latagan PhilippinesPhilippines 2
44.Dan Lang PhilippinesPhilippines 2
45.Edge Ramos PhilippinesPhilippines 2
46.John Rocel Perez PhilippinesPhilippines 2
47.Melek Cimen TurkeyTurkey 2
48.Fred Gutierrez PhilippinesPhilippines 2
49.Muhammed Aydogdu TurkeyTurkey 1
50.Mohamed Karamany EgyptEgypt 1
51.Serkan Callioglu TurkeyTurkey 1
52.Suleyman Akarsu TurkeyTurkey 1
53.John Patrick PhilippinesPhilippines 1

Please feel free to send your general comments to challenging-problems@ahmath.com.


It's a good way to practice maths and also the site encourages you to submit your answer with an accompanying solution. Participants can not just simply guess the answer or predict what will be the answer based on the given, they need to know and understand the topic. Also this refrains participants to just simply ask the answer from other people. So the method was excellent and people will definitely learn many things about math.

- Rindell Mabunga / Philippines

I want to say my deepest gratitude in creating this website. The questions are not the typical type and not normally taught to non-mathematical major degrees. I really hope that you'll continue your mission and vision in creating this site, as this serves as a platform to enhance our mathematical skills. Hoping for the best good luck!!!

- Russel J. Galanido / South Korea

I see AhMath as the one encouraging self-paced learning or practice in solving math problems. It does not put me into any kind of pressure like requiring myself to be the first one to solve the problems correctly and giving answers with a limited time. Also, it gives me excitement for the next problems to solve as well as for the appearance of my name on the list of the people who submitted the correct solutions and answers for those math problems. Overall, it gives me confidence to be better in math.
Thank you for everything, AhMath.

- Marvin Cato / Philippines

I knew AhMath from a facebook group, "Math Enthusiasts Quiz Group", that I just joined a few weeks ago. Then I found that there are the "challenging math problems" here that refresh my Math skill.
I like many ideas on this website, the word "Math Enthusiasts" exactly describes what I'm and it makes me recall the feeling about Math when I was young, it was fun and exciting!
I like the motto "Real than i, rational than n", it's playing in my head and I'm still doubt about its meaning :-D
There is no time constraint for solving the problems so we can think about the solutions in the different ways. Sometimes the new solutions reveal the beauty of Math and that only happens when we have time to think about other solutions.
Thank you the creator and moderator of this website, especially Ahmet Arduc, who brings me back to the feeling of fun and exciting with his creative problems.

- Sumet Ketsri / Thailand

Ahmath is basically a great site. The problems are really challenging and mind boggling. I really like the way that the Math enthusiasts should show the solution as well for each problem. You need to learn on your own. This site greatly help me improve my Math skills and writing solutions as well. Thank you much Ahmath for an amazing job. More power and God bless. "Train HARD, win EASY. Train Easy, win HARD". Hoping you all the best out there. Just continue on your aim to help the students as well as the non-students to further enhance their math skills. God bless and More power AHMATH FTW!!!

- Isaiah James de Dios Maling / Philippines

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