Difference between revisions of "1993 AJHSME Problems/Problem 1"
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<math> \text{(A)}\ \{-4,-9\}\qquad\text{(B)}\ \{-3,-12\}\qquad\text{(C)}\ \left\{\frac{1}{2},-72\right\}\qquad\text{(D)}\ \{ 1,36\}\qquad\text{(E)}\ \left\{\frac{3}{2},24\right\} </math> | <math> \text{(A)}\ \{-4,-9\}\qquad\text{(B)}\ \{-3,-12\}\qquad\text{(C)}\ \left\{\frac{1}{2},-72\right\}\qquad\text{(D)}\ \{ 1,36\}\qquad\text{(E)}\ \left\{\frac{3}{2},24\right\} </math> | ||
− | ==Solution== | + | ==Solution 1== |
A. The ordered pair <math>{-4,-9}</math> has a product of <math>-4\cdot-9=36</math> | A. The ordered pair <math>{-4,-9}</math> has a product of <math>-4\cdot-9=36</math> | ||
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Since C is the only ordered pair which doesn't equal 36, <math>\boxed{\text{(C)}}</math> is the answer. | Since C is the only ordered pair which doesn't equal 36, <math>\boxed{\text{(C)}}</math> is the answer. | ||
+ | ==Solution 2== | ||
+ | We know that if we want a product of 36, both numbers have to be positive or negative. Scanning the number pairs, the only choice with one negative number and one positive number is <math>\boxed{\text{(C)}}</math> | ||
==See Also== | ==See Also== | ||
{{AJHSME box|year=1993|before=First<br />Question|num-a=2}} | {{AJHSME box|year=1993|before=First<br />Question|num-a=2}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 20:55, 23 July 2021
Contents
Problem
Which pair of numbers does NOT have a product equal to ?
Solution 1
A. The ordered pair has a product of
B. The ordered pair has a product of
C. The ordered pair has a product of
D. The ordered pair has a product of
E. The ordered pair has a product of
Since C is the only ordered pair which doesn't equal 36, is the answer.
Solution 2
We know that if we want a product of 36, both numbers have to be positive or negative. Scanning the number pairs, the only choice with one negative number and one positive number is
See Also
1993 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by First Question |
Followed by Problem 2 | |
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 | ||
All AJHSME/AMC 8 Problems and Solutions |
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