Question

fill in the missing digits so as to make the number divisible by 2 ,3, 4 ,6 ,8, 9, 11 number is 3779 ___ ___4

Answer 1

11 is the missing number

Answer 2

Answer:

LET THE MISSING DIGITS BE x and y, SO THE NO HERE WOULD LOOK LIKE THIS 3779xy4,

NOW OUT OF THE GIVEN NUMBERS, I JUST NEED TO MAKE THIS NO DIVISIBLE BY 8, 9, 11... DIVISIBILITY BY 2, 3, 4, 6 WOULD BE TAKEN CARE OF BY ONLY MAKING IT DIVISIBLE BY 8, 9, 11.

FOR 9 SUM OF DIGITS SHOULD BE DIVISIBLE BY 9. THE DIGIT SUM IS 3+7+7+9+x+y+4= 30+x+y so x+y = 6

possible combinations (1,5) (2,4), (3,3), (4,2), (5,1)

taking (1,5) or (5,1) or (3,3) wont make it divisible by 8

so the comination left is (4,2) or (2,4)

checking for divisibility by 8, last three digits of the no is 424, then only it is divisible by 8 i.e. the no becomes  3779424

now checking for 11,

sum at even places = 2+9+7 = 18

sum at odd places = 4+4+7+3 = 18

difference = 18-18=0, hence the no is divisible by 11 also

so the value of x = 4, y= 2

Step-by-step explanation: