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  • Question
  • A five-digit number divisible by 3 is to be formed using digits 0, 1, 2, 3, 4 and 5 without repetition, the total number of ways this can be done, is


  • Options
  • A. 122
  • B. 210
  • C. 216
  • D. 217

  • Correct Answer
  • 216 

    Explanation

    A five-digit number, which is divisible by 3, is formed when sum of digits is also divisible by 3.

    So, combination formed using six-digits, which are divisible by 3
    = 5 + 4 + 3 + 2 + 1 = 15
    = 5 + 4 + 2 + 1 + 0 = 12

    So, set of number are (5, 4, 3, 2, 1) and (5, 4, 2, 1, 0).

    Number formed by using 1st set = 5 x 4 x 3 x 2 x 1 = 120
    Similarly, using 2nd set = 4 x 4 x 3 x 2 x 1 = 96

    Hence, using 2nd set, underlined place cannot be filled by 0, otherwise it will become a four-digit number.
    ? Total number = 120 + 96 = 216


  • More questions

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      If the Price of 6 toys is Rs. 264.37, What will be the approximate price (Rs) of 5 toys?

    • Options
    • A. 230
    • B. 120
    • C. 320
    • D. 220
    • Discuss
    • 2. 
      A runs 1 2/ 3 times as fast as B. If A gives B a start of 40 m, how far must the winning post be, so that A and B might reach it at the same time?

    • Options
    • A. 75 m
    • B. 200 m
    • C. 100 m
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    • Discuss
    • 3. 
      A person rows a kilometre down the stream in 10 minute and upstream in 30 minutes. Find the velocity of the stream?

    • Options
    • A. 1 km/hr
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    • C. 3 km/hr
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    • 4. 
      One year ago the ratio between Samir and Ashok's age was 4 : 3. One years Later the sum of their ages will be 5 : 4. What is the sum of their present ages in years?

    • Options
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    • C. 16 years
    • D. Cannot be determined
    • Discuss
    • 5. 
      What is 786 time of 964?

    • Options
    • A. 759276
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    • 6. 
      The percent profit when an article is sold for Rs. 78 is twice as when it is sold for Rs. 69. The C.P. of the article is?

    • Options
    • A. Rs. 49
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    • C. Rs. 57
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    • Discuss
    • 7. 
      In a game of 100 points, A scores 100 points while B scores only 65 points. In this game, how much points can A give to B?

    • Options
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    • Discuss
    • 8. 
      Find the value of log 8 + log 1/8?

    • Options
    • A. 0
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    • Discuss
    • 9. 
      Given log 10 2 = 0.30103, log 10 3 = 0.47712. Find the number of digit, in 3 12 x 2 8?

    • Options
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    • Discuss
    • 10. 
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    • Options
    • A. 28000
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