A boy imagined four-digit multiple of 5 with different digits. If the first digit is erased, the obtained number is multiple of 9. If the second digit of imagined number is erased, the obtained number is multiple of 11. If the third digit of imagined number is erased, the obtained number is multiple of 7. How many numbers satisfy given conditions? A 1 B 2 3 4

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 12E: Suppose that the check digit is computed as described in Example . Prove that transposition errors...
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A boy imagined four-digit multiple of 5 with different digits. If the first digit is erased,
the obtained number is multiple of 9. If the second digit of imagined number is
erased, the obtained number is multiple of 11. If the third digit of imagined number is
erased, the obtained number is multiple of 7. How many numbers satisfy given
conditions?
A
1
B
2
с
3
D
4
Transcribed Image Text:A boy imagined four-digit multiple of 5 with different digits. If the first digit is erased, the obtained number is multiple of 9. If the second digit of imagined number is erased, the obtained number is multiple of 11. If the third digit of imagined number is erased, the obtained number is multiple of 7. How many numbers satisfy given conditions? A 1 B 2 с 3 D 4
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