Question

If a 10 digit n.o 2094x843y2 is divisible by 88 then value of 5x-7y at the largest possible value of x is

option
(A) 3
(B)5
(C)2
(D)6​

Answer 1

Answer:

option (B) 5

Step-by-step explanation:

In the number 2094x843y2 sum of even placed digits = 0+4+8+3+2=17

sum of the odd placed digits = 2+9+x+4+y = 15+x+y

so the difference between above two is x+y =2

if the number is to be divisible by 11,then x+y= 2 or 13.since we need max value for x,we have to take x+y= 13.Now we have to find the minimum value possible of y. The value of y is > or= to 4

since the maximum possible value of x is 9

If the number 3y 2 is to divisible by 8,

then y should take the value of 5

so then x = 13-5= 8

Now 5x-7y=5×8 - 7×5 = 40- 35

= 5