If ABC us a three digit number such that no one number is similar to other than how many possible values of ( a + 4b + c ) will be divisible by 40 :
1- 18
2- 16
3- 15
4 - 12

• Ans is 15.
  Explanation;
  
  First of all we have to check for 4b.
  Suppose b is 9.
  So 4*9=36.
  Hence left no. is 40-36=4
  so, combination to become 4 is;
  (1,3) (3,1)and (4,0).
  so, nos. which are fit to eqn and divisible by 40 when b=9,are
  193,391
  similarly for b=8
  nos. are
  187,781,682,286,385,583.
  for b=7
  nos. are:
  379,973,478,874.
  for b=6
  nos. are:
  967,769.
  
  and last but not the least ;490: and reverse of digit of hundred and unit place is not possible because it forms 2 digit no.
• 9 years agoHelpfull: Yes(39) No(2)
• a b c
  4 9 0 *1 because if 0 comes in first it is not a three digit number
  1 9 3 *2
  1 8 7 *2
  2 8 6 *2
  3 8 5 *2
  3 7 9 *2
  4 7 8 *2
  7 6 9 *2
  15
• 9 years agoHelpfull: Yes(16) No(0)
• ABC
  we have to find A+4B+C=40.
  so,here is the answer...........
  on putting B=6,
  we get 769 and 967---total is 2
  on putting B=7,
  we get 379,973,478 and 874---total is 4.
  on putting B=8,
  we get 187,781,286,682,385 and 583---total is 6.
  on putting B=9,
  we get 193,391 and 490---total is 3.
  all possible values are 2+4+6+3=15
• 9 years agoHelpfull: Yes(3) No(0)
• 9!/3!2!2!1! taking 2 N's are one unit
• 9 years agoHelpfull: Yes(2) No(0)
• a b c
  4 9 0 *2
  1 9 3 *2
  1 8 7 *2
  2 8 6 *2
  3 8 5 *2
  3 7 9 *2
  4 7 8 *2
  7 6 9 *2
  
  total 16
• 9 years agoHelpfull: Yes(1) No(9)
• @sachinkumarsingh
  4 9 0 *1
  Because the value of A can't be zero of it's zero than it will be a two digit number so thanks for your help but the answer will be 15.
  
• 9 years agoHelpfull: Yes(1) No(0)
• Yeah it's 15. Sorry for the previous answer.
• 9 years agoHelpfull: Yes(1) No(0)
• ans=15, nos=193,391,490,187,781,682,286,385,583,973,379,874,478,967,769
• 9 years agoHelpfull: Yes(1) No(0)
• Sorry that was set of value.
• 9 years agoHelpfull: Yes(0) No(0)
• please explain the question again I cant understandr
• 9 years agoHelpfull: Yes(0) No(0)