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How many two digit numbers are possible which are divisible by 3?
  • a)
    27
  • b)
    30
  • c)
    33
  • d)
    3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
How many two digit numbers are possible which are divisible by 3?a)27b...
As the last digit of the number is 3 only, then for the number to be divisible by 3 the sum of the other two digits is also divisible by 3.
⇒ The combination of two digit number which can be divisible by 3 = 12, 15, 18, …, 99
⇒ Total combinations of number divisible by 3 from 1 to 99 is 33, but 03, 06 and 09 cannot be a combination as then the number become a two digit.
∴ Total possible combinations = 33 – 3 = 30
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How many two digit numbers are possible which are divisible by 3?a)27b)30c)33d)3Correct answer is option 'B'. Can you explain this answer?
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