Question : The number 1254216 is divisible by which of the following numbers?
Option 1: 5
Option 2: 11
Option 3: 16
Option 4: 8
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Correct Answer: 8
Solution :
A natural number is divisible by 5 if its unit’s digit is either 0 or 5.
So, the number 1254216 is not divisible by 5.
A number is divisible by 11 if the difference between the sum of its digits in odd places and the sum of the digits in even places is either 0 or a multiple of 11.
(1 + 5 + 2 + 6) – (2 + 4 + 1) = 7
So, the number 1254216 is not divisible by 11.
Any number which has 4 or greater than 4 digits is divisible by 16 if and only if the last 4 digits of the number are divisible by 16.
4216 is not divisible by 16.
So, the number 1254216 is not divisible by 16.
A number is divisible by 8 if the number formed by its last three digits in the same order (hundreds, tens and units digits) is divisible by 8.
216 is divisible by 8.
So, the number 1254216 is divisible by 8.
Hence, the correct answer is 8.
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