For what value of ", The number 588 * 01 be perfectly divisible by 11
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Step-by-step explanation:
Given, 588*01 is perfectly divisible by 11
we know,
by the test of divisiblity,
diff between sum of the alternate set of digits should be 0 or divisible by 11
we have,
sum of even set = 5+8+0 = 13 & sum of odd set = 8+*+1 = 9+*
=> 13-(9+*)=0
=> 4+*=0
=> * = -4
as we cant have a digit value as negative, we can omit the -ve sign
and so the original number is 588401 , which is exactly divisible by 11
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