Question

If a number 774958a96b is to be divisible by 8 and 9, the respective values of a and b will be

Answer 1

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 96 years agoHelpfull: Yes(6) 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).6 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).
6 years agoHelpfull: Yes(2) No(0)ans is b)8,06 years agoHelpfull: Yes(1) No(0)8,0 is the answer 
check the divisibilty cond by cross checking wid the options 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).

Answer 2

Answer:

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).