Q. 311311311311311311 is divisible by:

Option
a) 3 and 11.
b) 11 but not 3.
c) 3 but not 11.
d) None of the above.

• a.3 and 11
  bcoz the sum of digits is 30 which is divided by 3
  the differences of odd place digits - even place is divided by 11
• 12 years agoHelpfull: Yes(32) No(3)
• a)3 and 11
  
  311311311311311311 /3 = 103770437103770437
  311311311311311311 /11= 28301028301028301
  
  So 311311311311311311 divisible by 3 and 11.
• 12 years agoHelpfull: Yes(6) No(13)
• a)3 and 11.
  sum of digits is 30 which is divided by 3 hence given number id divisible by 3
  and the differences of odd place digits - even place is zero hence the given number is also divisible by 11
• 11 years agoHelpfull: Yes(6) No(1)
• Sum the the total digit that will be devided by 3 and sum of difference of alternate term is also zero...so it will be devide by 11.Hence option a will be correct
• 12 years agoHelpfull: Yes(4) No(2)
• option a. because sum of digits=30/3 =0 so divisible by 3. and sum of digits on odd position-sum of digits on even position= 15-15=0 so its divisible by 11.
• 11 years agoHelpfull: Yes(4) No(0)
• Sorry. Answer is a)3 and 11
• 12 years agoHelpfull: Yes(3) No(3)
• a)3 and 11.
• 12 years agoHelpfull: Yes(3) No(4)
• a) 3and 11
  
  To check divisibility by 3,
  Add all digit of given number
  For ex- the number is 311311311311311311 so we add all digits like 3+1+1+3+1+1+3_ _ _ _ _ +1=30
  Then check 30/3 =10
  30 is divisible by 3. Therefore the given number is also divisible by 3.
  
  To check divisible by 11 for the same number 311311311311311311
  We make the group of 3 numbers stating from unit number.
  The group is 311 311 311 311 311 311
  Add alternate group, odd group and even group. Then differnsiate both group, then the final answer is divide by 11 if it divisible then the given no is also divisible by 11. But for this example odd and even group are same. So there dfference is zero. Therefore the given number is also divisible by 11.
  So correct answer is
  a) 3 and 11
• 12 years agoHelpfull: Yes(3) No(1)
• c)
  3 but not 11.
• 11 years agoHelpfull: Yes(3) No(5)
• d)none of the above
• 12 years agoHelpfull: Yes(0) No(7)
• sum of digits in even place-sum of digits in odd place= no: divisible by 11
  So, 15-15=0 which is not divisible by 11.
  sum of all the digits of number is divisible by 3
  So,the sum of all the digits in the above number is 30 which is divisible by 3.
  Hence, answer is (c)
• 11 years agoHelpfull: Yes(0) No(0)
• 311311/11=28301
  So there is three times same pattern . Answer will
  Be is 283012830128301.
  311311311311311311 is sum up 30 is divisible by 3.
  So answer A
  
• 11 years agoHelpfull: Yes(0) No(0)
• option c.
  3 but not 11
• 9 years agoHelpfull: Yes(0) No(1)
• a) 3 and 11.
• 5 years agoHelpfull: Yes(0) No(0)