Which digits should come in the place of * and #, respectively, if the 7-digit number 62684*# is divisible by both 8 and 5?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 4 and 0.
Divisibility rule of 8:- A number is divisible by 8 if the last three digits of the number are either zeros or are divisible by 8
Divisibility rule of 5:- A number is divisible by 5 if its last digit is 0 or 5.
The given number is 62684*#
The value of # must be 0 or 5
Case I: # = 0
So, the last three digits are 4*0 to make it divisible by 8, the value of * must be 0, 4, 8
Case II: # = 5
So, the last three digits are 4*5 thus, it is clear that it is not divisible by 8
Thus, it is clear that the value of # must be 0
Now, the number formed is 62684*0
If * is replaced by 4 then, the last 3 digits are 440 then, it must be divisible by 8
So, the values of * and # are 4 and 0 respectively