how many times odd number comes between numbers 0 to 10000

• 5000
  
  1st odd number is 1 and last one is 9999, which forms an A.P. 1, 3, 5, ...., 9999
  Here, first term a=1, difference d=2, we have to find number of terms 'n'
  In A.P. we have, Last term = a + (n-1)d
  9999 = 1 + (n-1)2
  => 9999 = 2n -1
  2n = 10000
  n = 5000
  Hence, there are 5000 odd number between 0 to 10000.
• 5 years agoHelpfull: Yes(17) No(6)
• no the number of times a odd number comes i.e ex for number 3 it comes 1 time and 13 has two odd numbers and 113 has 3 odd numbers ... in similar manner how many times a odd number occurs between 0 to 10000
• 5 years agoHelpfull: Yes(2) No(0)
• 10651
  Numbers having odd digit in them are:
  1 digit = (5)
  2 digit = (5x5)x2 + (4x5)x1
  3 digit = (5x5x5)x3 + (4x5x5)x2 + (5x4x5)x2 + (4x4)x1
  4 digit = (5x5x5x5)x4 + (4x5x5x5)x3 + (5x4x5x5)x3 + (5x5x4x5)x3 + (4x4x5x5)x2 + (4x5x4x5)x2 + (5x4x4x5)x2 + (4x4x4x4)x1
  5 digit = 1
  
  Sum all the possibilities = 10651
  I thought other solutions here were correct at first sight, but I am amazed how people are blindly marking any solution as helpful. People have given full proof long solutions without understanding the question properly. Sad.
• 3 years agoHelpfull: Yes(2) No(2)
• In one digit - 5 times
  In 2 digit - 25 times
  In 3 digit - 125 times
  In 4 digit - 625 times
  Total - 780 times between 0 to 10000.
• 5 years agoHelpfull: Yes(1) No(8)
• all the options are above 10k
• 5 years agoHelpfull: Yes(1) No(1)
• read the question properly ... "how many times an odd number comes between 0 to 10k" so we should count each number individually n count no. of odd no.
• 5 years agoHelpfull: Yes(1) No(1)
• 20000
  
  1 digit
  2 digit
  3 digit
  4 digit
• 5 years agoHelpfull: Yes(0) No(2)
• 1st odd no.=1
  Last odd no. in this range=9999
  So,Let No. off odd nos. be n.
  l=a+(n-1)*d
  9999=1+(n-1)*2
  n-1=4999
  n=5000
• 5 years agoHelpfull: Yes(0) No(2)
• 5000 times
• 4 years agoHelpfull: Yes(0) No(2)
• formula to find odd numbers in a given range: ((n2-n1)/2)+1
  so, ((10000-0)/2)+1
  =5000+1
  =5001
• 3 years agoHelpfull: Yes(0) No(1)
• You wanna find no. of odd numbers between 0 and 10000
  
  Imagine they’re in Arithmetic Progression(AP) i.e. 1,3,5… with common difference(cd) 2
  
  To find number terms in AP : ((last num - first num)/cd)+1
  
  By applying the formula above
  
  ((9999- 1)/2 )+1 (99 is the last odd number between 0 and 10000)
  
  (9998/2)+1 = 4999+1 = 5000
  
  Most people apply the above formula But Forget to add the 1 at last
  
  Remember it….
  
  Thank you
• 1 year agoHelpfull: Yes(0) No(0)