Tag Archives: Math Challengers

Math Challengers 2022 Question 14 Co op page 3 on medians intersecting at right angle

Posted on March 3, 2024 by Sumant Sumant

Two medians of triangle ABC have lengths AR=9 and BS =12. The two medians are at right angles to each other. What is the area of triangle ABC ?

Posted in Geometry | Tagged , , | Leave a comment

Math Challengers 2022 Question 13 Co Op page 3 on divison of 5 students into attending 3 contests

Posted on March 3, 2024 by Sumant Sumant

In how many ways can a school send their 5 students to 3 different contests in a way that every contest has at least one student attending it, and no student can attend more than one contest?

Posted in Combinatorics | Tagged , , , | Leave a comment

Math Challengers 2022 Question 8 Co op Page 2 on number of digits in binary representation

Posted on March 3, 2024 by Sumant Sumant

How many digits are there in the binary representation of ?

Posted in Combinatorics, Number Theory | Tagged , , | Leave a comment

Math challengers 2022 Co op problem 12 on factorial and Gaussian addition

Posted on March 1, 2024 by Sumant Sumant

How many integers are there such that 1+2+3+…+n divides n! and ?

Posted in Number Theory | Tagged , , , | Leave a comment