Question : Which of the following numbers is divisible by 44?
Option 1: 32802
Option 2: 54736
Option 3: 93472
Option 4: 27048
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Correct Answer: 54736
Solution : For a number to be divisible by 44, it should be divisible by 4 and 11. Divisibility by 4: The last two digits of a given number should be divisible by 4. Divisibility by 11: The sum of the digits at an even place is subtracted from the sum of the digits at odd places. If the result is either 0 or divisible by 11, then the original number is divisible by 11. Given numbers: (a) 32802 Last two digits = 02 = not divisible by 4 Hence, it is not divisible by 44 (b) 54736 Last two digits = 36 = divisible by 4 For 11 = (18) – (7)=11 Divisible by 11 (c) 93472 Last two digits = 72 = divisible by 4 For 11 = 15 – 10 = 5 Not divisible by 11 (d) 27048 Last two digits = 48 = divisible by 4 For 11 = 10 – 11 = –1 Not divisible by 11 Hence, the correct answer is 54736.
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