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Home Aptitude Numbers See What Others Are Saying!
  • Question
  • How many zeros are there from 1 to 10000 ?


  • Options
  • A. 2893
  • B. 4528
  • C. 6587
  • D. 4875

  • Correct Answer
  • 2893 

    Explanation

    For solving this problem first we would break the whole range in 5 sections


    1) From 1 to 9
    Total number of zero in this range = 0


    2) From 10 to 99
    Total possibilities = 9*1 = 9 ( here 9 is used for the possibilities of a non zero integer)


    3) From 100 to 999 - three type of numbers are there in this range
    a) x00 b) x0x c) xx0 (here x represents a non zero number)
    Total possibilities
    for x00 = 9*1*1 = 9, hence total zeros = 9*2 = 18
    for x0x = 9*1*9 = 81, hence total zeros = 81
    similarly for xx0 = 81
    total zeros in three digit numbers = 18 + 81 +81 = 180


    4) From 1000 to 9999 - seven type of numbers are there in this range
    a)x000 b)xx00 c)x0x0 d)x00x e)xxx0 f)xx0x g)x0xx
    Total possibilities
    for x000 = 9*1*1*1 = 9, hence total zeros = 9*3 = 27
    for xx00 = 9*9*1*1 = 81, hence total zeros = 81*2 = 162
    for x0x0 = 9*1*9*1 = 81, hence total zeros = 81*2 = 162
    for x00x = 9*1*1*9 = 81, hence total zeros = 81*2 = 162
    for xxx0 = 9*9*9*1 = 729, hence total zeros = 729*1 = 729
    for xx0x = 9*9*1*9 = 729, hence total zeros = 729*1 = 729
    for x0xx = 9*1*9*9 = 729, hence total zeros = 729*1 = 729
    total zeros in four digit numbers = 27 + 3*162 + 3*729 = 2700
    thus total zeros will be 0+9+180+2700+4 (last 4 is for 4 zeros of 10000)
    = 2893

  • Tags: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

    More questions

    • 1. 
      A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in how many days?

    • Options
    • A. 5
    • B. 6
    • C. 7
    • D. 10
    • Discuss
    • 2. 
      A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is?

    • Options
    • A. 24 meters
    • B. 40 meters
    • C. 28 meters
    • D. 14 meters
    • Discuss
    • 3. 25, 36, 49, 81, 121, 169, 225

    • Options
    • A. 36
    • B. 49
    • C. 121
    • D. 169
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    • 4. 
      (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966) =?

    • Options
    • A. 1.28
    • B. 0.976
    • C. 12.8
    • D. 9.76
    • Discuss
    • 5. 
      Einstein goes from Ahmedabad To Lucknow at the speed of 40 km/hr and returned at the speed of 60 km/hr .the average speed of Einstein during the whole journey is

    • Options
    • A. 48 km/hr
    • B. 24 km/hr
    • C. 50 km/hr
    • D. none of these
    • Discuss
    • 6. 
      Today is Monday. After 61 days, it will be

    • Options
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    • 7. 9548 + 7314 = 8362 + (?)

    • Options
    • A. 8230
    • B. 8410
    • C. 8500
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    • 8. 
      The true discount on a certain sum due 1 yr hence at 30% per annum, is ? 240. What is the banker' discount on the same sum for the same time and at the same rate?

    • Options
    • A. ? 400
    • B. ? 212
    • C. ? 312
    • D. ? 445
    • Discuss
    • 9. 
      Calendar of month July is same as that of which month of previous year.

    • Options
    • A. May
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    • C. April
    • D. None of these
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    • 10. 
      A coin is successively tossed two times. Find the probability of getting? (1) exactly one head (2)at least one head

    • Options
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    • B. 2/3, 1/4
    • C. 1/4, 4/5
    • D. 1/2, 2/3
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