Which of the following statements is FALSE? (a) 1526152716798897 % 5 = 2. (b) For every natural number а, if a2 % 4 = 0, then a % 5 = 1. (c) For every natural number a, if a % 6 = 5, then a = = 6q + 5 for some integer q. (d) For every natural number a, if a = b (mod 13), then a – b is divisible by 13.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Which of the following statements is FALSE?
(a) 1526152716798897 % 5 = 2.
(b) For
every natural number
а,
if a2 % 4 = 0, then a % 5 = 1.
(c) For every natural number
a,
if a % 6 = 5, then a =
= 6q + 5 for some integer q.
(d) For every natural number a, if a = b (mod 13), then a –
b is divisible by 13.
Transcribed Image Text:Which of the following statements is FALSE? (a) 1526152716798897 % 5 = 2. (b) For every natural number а, if a2 % 4 = 0, then a % 5 = 1. (c) For every natural number a, if a % 6 = 5, then a = = 6q + 5 for some integer q. (d) For every natural number a, if a = b (mod 13), then a – b is divisible by 13.
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