If a number 774958A96B is to be divisible by 8 and 9,the values of A and B,respectively will be (A)7,8 (B)8,0 (C)5,8 (D)3,0 (E)None of these

• we know that a no is divisible by 9 if sum of its digits divisible by 9.
  and no is divisible by 8 if last three digit is divisible by 8.
  so we have sum of digit=55+A+B;and 96B
  now checking from options A=8,B=0;
  hence b is the ans.
• 14 years agoHelpfull: Yes(12) No(2)
• (b) 8,0
  for divisible by 8
  last 3 digits should be divisible by 8
  i.e. 9 6 B
  so B= 0 or 8
  NOW
  for divisible by 9,sum of digits in number shud b divisible by 9
  so,
  7+7+4+9+5+8+A+9+6+B=55+A+B
  
  IF B=0,A=8, WHICH GIVES SUM =63 WHICH IS DIVISIBLE BY 9
• 14 years agoHelpfull: Yes(7) No(0)
• if the last 3 digits of the number are divisible by 8, so is the entire number.
  i.e B must be 8 or o.
  also, If the sum of digits is divisible by 9, so is the number.
  thus 55 + A + B must be divisible by 9.
  if B is 8 then A is 0 or if B is 0 then A is 8.
  thus answer is (8,0).
• 14 years agoHelpfull: Yes(2) No(0)
• if sum of the digits of the number is divisible by 9, then that number is divisible by 9.
  so, 7+7+4+9+5+8+A+9+6+B=55+A+B is divisible by 9------>(1),
  
  
  if the number formed by the last three digits of the number is divisible by 8, then that number is divisible by 8.
  so, 96B is divisible by 9---->(2),
  by using options which is satisfying the equations (1) & (2), we can get the A and B values.
  Therefore, option (b) is satisfying the equations (1) & (2).
  
• 14 years agoHelpfull: Yes(2) No(0)
• ans is b)8,0
• 14 years agoHelpfull: Yes(1) No(0)
• 8,0 is the answer
  check the divisibilty cond by cross checking wid the options
  
• 14 years agoHelpfull: Yes(1) No(0)
• rule of divisibility of 9 says that all the sum of digits must be divisible by 9.
  7+7+4+9+5+8+A+9+6+B==55+A+B=1+A+B(AS 54 IS DIVISIBLE BY 9)
  ALSO the divisibility rule of 8 says that the last three digits must be divisible by 8.
  so if B=0 then it is divisible by 8.
  so 1+A+B should be divisible by 9..
  if B=0 then A=8. SO 1+A+B=1+8+0=9 (DIVISIBLE BY9)
  SO OPTION NO.(B)8,0
• 14 years agoHelpfull: Yes(1) No(0)