Difference between revisions of "1975 AHSME Problems/Problem 8"
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| + | ==Problem== | ||
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If the statement "All shirts in this store are on sale." is false, then which of the following statements must be true? | If the statement "All shirts in this store are on sale." is false, then which of the following statements must be true? | ||
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If not all the shirts in the store are on sale, then the answer is <math>\boxed{\textbf{(D) } \text{II and IV only}}</math>. | If not all the shirts in the store are on sale, then the answer is <math>\boxed{\textbf{(D) } \text{II and IV only}}</math>. | ||
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| + | ==See Also== | ||
| + | {{AHSME box|year=1975|num-b=7|num-a=9}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 15:53, 19 January 2021
Problem
If the statement "All shirts in this store are on sale." is false, then which of the following statements must be true?
I. All shirts in this store are at non-sale prices.
II. There is some shirt in this store not on sale.
III. No shirt in this store is on sale.
IV. Not all shirts in this store are on sale.
Solution
Solution by e_power_pi_times_i
If not all the shirts in the store are on sale, then the answer is 
.
See Also
| 1975 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 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 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
