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  • Question
  • How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated ?


  • Options
  • A. 15
  • B. 20
  • C. 5
  • D. 10

  • Correct Answer
  • 20 

    Explanation

    Since each number to be divisible by 5, we must have 5 0r 0 at the units place. But in given digits we have only 5.

     

    So, there is one way of doing it.

     

    Tens place can be filled by any of the remaining 5 numbers.So, there are 5 ways of filling the tens place.

     

    The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.

     

    Required number of numbers = (1 x 5 x 4) = 20.

  • Tags: GATE, CAT, Bank Exams, Project Manager, Bank PO, Bank Clerk

    More questions

    • 1. 
      2508 ÷ 15.02 +? x 11 = 200

    • Options
    • A. 13
    • B. 8
    • C. 3
    • D. 4
    • Discuss
    • 2. 
      When the speed of a boat in still water is 4 km/h and the rate of stream is 2 km/h, find upstream speed of the boat.?

    • Options
    • A. 6 km/h
    • B. 5 km/h
    • C. 2 km/h
    • D. 7 km/h
    • Discuss
    • 3. 
      The sum of three consecutive odd number is 57. The middle one is?

    • Options
    • A. 19
    • B. 21
    • C. 23
    • D. 17
    • Discuss
    • 4. 
      Without stoppages, the speed of a train is 150 km/h and with stoppages, it is 100 km/h. How many minutes does the train stop?

    • Options
    • A. 20
    • B. 15
    • C. 25
    • D. 45
    • Discuss
    • 5. 
      Raman's present age is three times his daughter's and nine-thirteenth of his mother's present age. The sum of the present ages of all three of them is 125 yr. What is the difference between the present ages of Raman's daughter and Raman's mother?

    • Options
    • A. 45 yr
    • B. 40 yr
    • C. 50 yr
    • D. Connot be determined
    • Discuss
    • 6. 
      A boat running upstream takes 528 min to cover a certain distance, while it takes 240 min to cover the same distance running downstream. What is the ratio between the speed of the water current, respectively?

    • Options
    • A. 2 : 1
    • B. 3 : 2
    • C. 8 : 3
    • D. Couldn't be determined
    • Discuss
    • 7. 
      Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4. What will be the total of their present ages?

    • Options
    • A. 8 years
    • B. 20 years
    • C. 35 years
    • D. 45 years
    • Discuss
    • 8. 
      In ten years, A will be twice as old as B was 10 years ago. If A is now 9 years older then B. Find the present age of B?

    • Options
    • A. 39 year
    • B. 40 year
    • C. 36 year
    • D. 49 year
    • Discuss
    • 9. 
      Mahatma Gandhi was born on October 2, 1869. The day of the week was:

    • Options
    • A. Sunday
    • B. Monday
    • C. Saturday
    • D. Friday
    • Discuss
    • 10. 
      Change 75/100 into decimal number.

    • Options
    • A. 0.075
    • B. 0.75
    • C. 0.0075
    • D. 7.5
    • Discuss


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