Question
Download Solution PDFWhich of the following numbers is divisible by 44?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
Divisibility rule of 44:
If a number is divisible by 4 and 11, then the number is also divisible by 44.
Divisibility rule of 11:
If the difference between odd places and even places is either 0 or divisible by 11,
then the number is divisible by 11.
Divisibility rule of 4:
If the last two digits of a number are divisible by 4, then the number is divisible by 4.
Calculation:
We need to check it by option:
Option 1:
Number = 32802
Last two digits = 02
2 is not divisible by 4. So the number is not divisible by 4.
The number is not divisible by 44.
Option 2:
Number = 54736
Last two digits = 36
36 is divisible by 4. So the number is divisible by 4.
Sum of digits at odd places = 5 + 7 + 6 = 18
The sum of digits at even places = 4 + 3 = 7
Difference between the sum of odd places and even = (18 - 7) = 11
11 is divisible by 11. So the number is divisible by 11.
The number is divisible by 11 and 4. So the number is divisible by 44.
∴ The correct option is 2.
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