Difference between revisions of "1957 AHSME Problems/Problem 43"

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== See Also ==
 
== See Also ==
{{AHSME 50p box|year=1957|num-b=40|num-a=42}}
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{{AHSME 50p box|year=1957|num-b=42|num-a=44}}
 
{{MAA Notice}}
 
{{MAA Notice}}
 
[[Category:AHSME]][[Category:AHSME Problems]]
 
[[Category:AHSME]][[Category:AHSME Problems]]

Revision as of 10:20, 27 July 2024

Problem

We define a lattice point as a point whose coordinates are integers, zero admitted. Then the number of lattice points on the boundary and inside the region bounded by the $x$-axis, the line $x = 4$, and the parabola $y = x^2$ is:

$\textbf{(A)}\ 24 \qquad  \textbf{(B)}\ 35\qquad  \textbf{(C)}\ 34\qquad  \textbf{(D)}\ 30\qquad  \textbf{(E)}\ \infty$

Solution

$\boxed{\textbf{(B) }35}$.

See Also

1957 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 42
Followed by
Problem 44
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All AHSME Problems and Solutions

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