 ## Least Possible Value Problem | AMC-10A, 2019 | Quesstion19

Try this beautiful problem from Algebra based on Least Possible Value. Least Possible Value – AMC-10A, 2019- Problem 19 What is the least possible value of $((x+1)(x+2)(x+3)(x+4)+2019)$ where (x) is a real number? $(2024)$$(2018)$$(2020)$ Key Concepts...

## Nearest value | PRMO 2018 | Question 14

Try this beautiful problem from the PRMO, 2018 based on Nearest value. Nearest Value – PRMO 2018 If x=cos1cos2cos3…..cos89 and y=cos2cos6cos10….cos86, then what is the integer nearest to $\frac{2}{7}log_2{\frac{y}{x}}$? is 107is 19is 840cannot be...

## Sequence and permutations | AIME II, 2015 | Question 10

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME II, 2015 based on Sequence and permutations. Sequence and permutations – AIME II, 2015 Call a permutation $a_1,a_2,….,a_n$ of the integers 1,2,…,n quasi...

## Numbers of positive integers | AIME I, 2012 | Question 1

Try this beautiful problem from the American Invitational Mathematics Examination, AIME 2012 based on Numbers of positive integers. Numbers of positive integers – AIME 2012 Find the number of positive integers with three not necessarily distinct digits, $abc$,...