Question
Download Solution PDFWhich number among 34936, 35508, 35580 and 36508 is 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,
35508 = 3 + 5 + 5 + 0 + 8 = 21, is divisible by 3.
Difference between the sum of numbers at odd places and even places = (3 + 5 + 8) – (5 + 0) = 11.
11, is divisible by 11.
For the second option,
35580 = 3 + 5 + 5 + 8 + 0 = 21, is divisible by 3.
Difference between the sum of numbers at odd places and even places = (3 + 5 + 0) – (5 + 8) = - 5.
- 5, is not divisible by 11.
For the third option,
36508 = 3 + 6 + 5 + 8 = 22
22 is not divisible by 3.
For the fourth option,
34936 = 3 + 4 + 9 + 3 + 6 = 25, is not divisible by 3.
Therefore, the number which is exactly divisible by 33 is 35508.
Last updated on Jun 11, 2025
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