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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. 
      The last day of century cannot be either
      I. Tuesday
      II. Thursday
      III. Saturday
      IV. Sunday

    • Options
    • A. I and II
    • B. I and IV
    • C. I, II and III
    • D. I,III and IV
    • Discuss
    • 2. 
      In a ?ABC, if 2?A = 3?B = 6?C, Then ?A is equal to:

    • Options
    • A. 60°
    • B. 30°
    • C. 90°
    • D. 120°
    • Discuss
    • 3. 
      How many times in a day (24 Hrs), are the hands of a clock in straight line but opposite in direction?

    • Options
    • A. 20
    • B. 22
    • C. 24
    • D. 48
    • Discuss
    • 4. 
      Which of the following two months in a particular year will have same calendar.

    • Options
    • A. January and August
    • B. January and October
    • C. March and November
    • D. None of these
    • Discuss
    • 5. 
      In a circle of radius 21 cm an arc subtends an angle of 72° at the centre. The length of the arc is?

    • Options
    • A. 13.2 cm
    • B. 19.8 cm
    • C. 21.6 cm
    • D. 26.4 cm
    • Discuss
    • 6. 
      If in a particular year 'X' there are 53 Sundays then how many Sundays will be there in a period of four years X to X + 3 year.

    • Options
    • A. 208
    • B. 209
    • C. 208 or 209
    • D. None of these
    • Discuss
    • 7. 
      In a game of 80 points, A can give B 5 points and C 15 points. Then how many points B can give C in a game of 60?

    • Options
    • A. 12
    • B. 10
    • C. 8
    • D. 6
    • Discuss
    • 8. From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

    • Options
    • A. 75 litres
    • B. 100 litres
    • C. 150 litres
    • D. 120 litres
    • Discuss
    • 9. If a - b = 3 and a2 + b2 = 29, find the value of ab.

    • Options
    • A. 10
    • B. 12
    • C. 15
    • D. 18
    • Discuss
    • 10. Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.

    • Options
    • A. 1:9
    • B. 9:1
    • C. 3:7
    • D. 7:3
    • Discuss


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