Question
Download Solution PDFWhich of the numbers below is exactly divisible by 33?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Divisor = 33
Concept Used:
The divisibility rule of 3 = Sum of all number digits should be divisible by 3.
Calculation:
As 33 can be expressed as 3 × 11.
For the first option,
25080 = 2 + 5 + 8 = 15, is divisible by 3.
Difference between sum of numbers at odd places and even places = 2 – (5 + 8) = –11.
-11, is divisible by 11.
For the second option,
19679 = 1 + 9 + 6 + 7 + 9 = 32, is not divisible by 3.
For the third option,
73205 = 7 + 3 + 2 + 5 = 17
17 is not divisible by 3.
For the fourth option,
27441 = 2 + 7 + 4 + 4 + 1 = 18, is divisible by 3.
Difference between sum of numbers at odd places and even places = (2 + 4 + 1) – (7 + 4) = –4.
-4 is not divisible by 11.
Therefore, the number which is exactly divisible by 33 is 25080.
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