Question 10 Suppose x satisfies the three simultaneous congruences X = 4 (mod 5) X 7 (mod 8) X 10 (mod 11) Since 5 x 8 x 11 = 440 and 4x7x10%3D280, there will always be O no solution since 8 is not prime. a unique value of x (mod 440). a moon over Marin. no solution since 5 and 10 are not relatively prime. a unique value of x (mod 280).

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Question 10
Suppose x satisfies the three simultaneous congruences
X= 4 (mod 5)
X = 7 (mod 8)
X 10 (mod 11)
Since 5 x 8 x 11 = 440 and 4x7x10%3D280, there will always be
O no solution since 8 is not prime.
O a unique value of x (mod 440).
a moon over Marin.
no solution since 5 and 10 are not relatively prime.
a unique value of x (mod 280).
Transcribed Image Text:Question 10 Suppose x satisfies the three simultaneous congruences X= 4 (mod 5) X = 7 (mod 8) X 10 (mod 11) Since 5 x 8 x 11 = 440 and 4x7x10%3D280, there will always be O no solution since 8 is not prime. O a unique value of x (mod 440). a moon over Marin. no solution since 5 and 10 are not relatively prime. a unique value of x (mod 280).
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