Graph Coordinates | AMC 10A, 2015 | Question 12

Try this beautiful Problem on Graph Coordinates from coordinate geometry from AMC 10A, 2015. Graph Coordinates – AMC-10A, 2015- Problem 12 Points $(\sqrt{\pi}, a)$ and $(\sqrt{\pi}, b)$ are distinct points on the graph of $y^{2}+x^{4}=2 x^{2} y+1 .$ What is...

Arithmetic sequence | AMC 10A, 2015 | Problem 7

Try this beautiful problem from Algebra: Arithmetic sequence from AMC 10A, 2015, Problem. Arithmetic sequence – AMC-10A, 2015- Problem 7 How many terms are in the arithmetic sequence $13$, $16$, $19$, $\dotsc$, $70$, $73$? \(20\)\(21\)\(24\)\(60\)\(61\) Key...

Problem based on Cylinder | AMC 10A, 2015 | Question 9

Try this beautiful problem from Mensuration: Problem based on Cylinder from AMC 10A, 2015. Cylinder – AMC-10A, 2015- Problem 9 Two right circular cylinders have the same volume. The radius of the second cylinder is $10 \%$ more than the radius of the first. What...

Cubic Equation | AMC-10A, 2010 | Problem 21

Try this beautiful problem based on Cubic Equation from AMC 10A, 2010. Cubic Equation – AMC-10A, 2010- Problem 21 The polynomial $x^{3}-a x^{2}+b x-2010$ has three positive integer roots. What is the smallest possible value of $a ?$ \(31\)\(78\)\(43\) Key...

Problem on Fraction | AMC 10A, 2015 | Question 15

Try this beautiful Problem on Fraction from Algebra from AMC 10A, 2015. Fraction – AMC-10A, 2015- Problem 15 Consider the set of all fractions $\frac{x}{y},$ where $x$ and $y$ are relatively prime positive integers. How many of these fractions have the property...