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  • 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. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

    • Options
    • A. 2 : 3
    • B. 1 : 1
    • C. 3 : 4
    • D. 4 : 3
    • Discuss
    • 2. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

    • Options
    • A. 65 sec
    • B. 89 sec
    • C. 100 sec
    • D. 150 sec
    • Discuss
    • 3. What was the day of the week on 17th June, 1998?

    • Options
    • A. Monday
    • B. Tuesday
    • C. Wednesday
    • D. Thursday
    • Discuss
    • 4. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

    • Options
    • A. 279
    • B. 283
    • C. 308
    • D. 318
    • Discuss
    • 5. 
      1872/ ? ? = 234

    • Options
    • A. 324
    • B. 64
    • C. 8
    • D. 256
    • Discuss
    • 6. 
      For every 4 leaps taken by a dog, a cat takes 5 leaps in the same time. But distance covered in 3 leaps of dog is same as that of 4 leaps of cat. Then what is the ratio of speed of dog and cat?

    • Options
    • A. 15 : 14
    • B. 16 :15
    • C. 12 :11
    • D. 10 : 9
    • Discuss
    • 7. 
      A come of height 7 cm and base radius 3 cm is curved from a rectangular block of wood 10 cm x 5 cm x 2 cm. The percentage of wood wasted is?

    • Options
    • A. 34%
    • B. 46%
    • C. 54%
    • D. 66%
    • Discuss
    • 8. 
      1, 9, 25, 49, 81,?

    • Options
    • A. 90
    • B. 135
    • C. 121
    • D. 125
    • Discuss
    • 9. 
      An accurate clock shows the time as 3:00 after hour hand has moved 135°, the time would be?

    • Options
    • A. 7:30
    • B. 6:30
    • C. 8:00
    • D. 9:30
    • Discuss
    • 10. 
      P.V. Narsihma Rao was elected party leader on 29th may, 1991. What was the day of the week?

    • Options
    • A. Tuesday
    • B. Friday
    • C. Wednesday
    • D. Sunday
    • Discuss


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