Using divisibility tests, determine which of following two numbers are divisible by 11: (a) 535750(b) 1408
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Answer:
Here an easy way to test for divisibility by 11. Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11.
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Answer:
(a)Sum of odd places = 0+7+3 = 10
Sum of even places = 5+5+5 = 15
Difference = 15-10 = 5 ( this is not divisible by 11)
(b)Sum of odd places = 8+4 = 12
Sum of even places = 0+1 = 1
Difference = 12-1 = 11(this is divisible by 11)
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