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 09:20, 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 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
