Difference between revisions of "1957 AHSME Problems/Problem 43"
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+ | == 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 <math>x</math>-axis, | ||
+ | the line <math>x = 4</math>, and the parabola <math>y = x^2</math> is: | ||
+ | <math>\textbf{(A)}\ 24 \qquad | ||
+ | \textbf{(B)}\ 35\qquad | ||
+ | \textbf{(C)}\ 34\qquad | ||
+ | \textbf{(D)}\ 30\qquad | ||
+ | \textbf{(E)}\ \infty</math> | ||
+ | |||
+ | == Solution == | ||
+ | <math>\boxed{\textbf{(B) }35}</math>. | ||
+ | |||
+ | == See Also == | ||
+ | {{AHSME 50p box|year=1957|num-b=40|num-a=42}} | ||
+ | {{MAA Notice}} | ||
+ | [[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 -axis,
the line
, and the parabola
is:
Solution
.
See Also
1957 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 40 |
Followed by Problem 42 | |
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All AHSME Problems and Solutions |
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