if F is a 5 digit number that is divisible by 4 from number 1,2,3,4,5,6 and S is the 6 digit no that is divisible 4 from number 1,2,3,4,5,6. if in both cases repetition not allowed.then what is the value of (S-F)...?

• Divisibility Rules for 4 = If the last two digits of a whole number are divisible by 4, then the entire number is divisible by 4
  Series = 1,2,3,4,5,6
  Numbers that are divisible by 4 are = 12,16,24,32,36,52,56, 64.....44 is omited as Repetation is not allowed.. So there are 8 numbers
  F [ 5 digit number] = ABCDE Then this DE part must be divisible by 4...AND must be any from these 8 numbers AND the ABC part can be chosen in 4*3*2 = 24 ways....
  Total value of F OR total number of ways = 24*8 =192
  S [6 digit number] = ABCDEF ...Here EF part must be divisible by 4...AND must be any from these 8 numbers AND the ABCD part can be chosen in 4*3*2 = 24 ways
  Total value of S OR total number of ways = 24*8 =192
  Hence S-F =0
  
• 10 years agoHelpfull: Yes(33) No(1)
• divisible by 4 the numbers are 1,2 -1,6 - 2,4 - 3,2 - 3,6 - 5,2, - 5,6
  so for the value of F are 5 digit no-2*3*4=24
  now 24 * divisible by 4 => 24 *7=168
  now the value of S are 6 digit number-1*2*3*4=24
  now 24 * divisible by 4 => 24*7=168
  SO t=value of S-F=0
• 10 years agoHelpfull: Yes(15) No(1)
• out of no. 1,2,3,4,5,6 only 2,4,6 is on unit place(because it is divisible by 4);
  so in case of F make 5 digit no. i.e 5*4*3*2*3! (3! means out of 2,4,6 only one is at a time)=720;
  in caseof S make 6 digit no. i.e 5*4*3*2*1*3!=720;
  according to que S-F=720-720=0
• 10 years agoHelpfull: Yes(5) No(3)
• I think Question is wrong.
  S is a 6digit number and F is a 5digit number according to the question
  Then S-F has either 6digits or 5digits. How could it be 24 48 or 0? Can anyone plz kindly explain?
• 9 years agoHelpfull: Yes(4) No(0)
• divisible by 4 the numbers are 1,2 -1,6 - 2,4 - 3,2 - 3,6-4,2 - 5,2, - 5,6-6,4
  the number of F(5 digit number) will be 4x3x2x9=216
  the number of S(6 digit number) will be 4x3x2x1x9=216
  so S-F=216-216=0
• 9 years agoHelpfull: Yes(4) No(0)
• ans:0
  last 2 digit should have 12,16,24,32,36,56,64
  F=2!*3!*4!*7=192*7
  S=1!*2!*3!*4!*7=192*7
  
• 10 years agoHelpfull: Yes(2) No(0)
• @ jitendra! how did u take 42 as a last two digit number which is divisible by 4 ? It is wrong okay the last two digit numbers can be arranged in only 8 ways.
  got it!!!!
  
• 9 years agoHelpfull: Yes(2) No(0)
• if F is number of ways to form a 5 digit number that is divisible by 4 from number 1,2,3,4,5,6 and S is number of ways to form the 6 digit no that is divisible 4 from number 1,2,3,4,5,6. if in both cases repetition not allowed.then what is the value of (S-F)...?
  
  @MASOOD AHMAD Correct your question and do not miss lead to others make sure that your question is right before posting
• 9 years agoHelpfull: Yes(2) No(1)
• As per I can think it ans will be 24
  As F is 5 digit nos so: 2*2*2*3=24
  And S is 6digit nos so: 2*2*2*2*3=48
  S-f=24
  Plz correct if I did any mistake
  Thanks
• 10 years agoHelpfull: Yes(1) No(9)
• f can be found out in 7*4*3*2 and s in 7*4*3*2*1 so their difference is zero
• 8 years agoHelpfull: Yes(1) No(0)
• 144.
  Divisible by 4 rule is last two digits must be divisible by 4.
  By using given numbers 12,16,24,32,36,52,56,54.
  Last two digits in 8 ways
  5digit number 8*3!=48=F.
  6digit number 8*4!=192=S.
  S-F=144.
  
• 9 years agoHelpfull: Yes(0) No(4)