ABCDEF is a six digit number with distinct decimal digits ABCDEF is divisible by 11 and the sum of i...........

Quantitative Aptitiude (CLAT) Number System

ABCDEF is a six digit number with distinct decimal digits. ABCDEF is divisible by 11, and the sum of its digits is 16. It is also known that A>C>E and B>D>F. Then A+B is always ....

None oif these

Explanation:

(A+C+E)- (B+D+F) = 11k, where k=0,1,2 etc

Let A+C+E = x and B+D+F = y, then

x – y = 11k and x + y= 16

K can’t be 1 or more; if k=1 then x=8.5 which is not possible, and if it is 2 then the value of y comes out to be negative which is not possible. Higher values of k are visibly ruled out. Hence k = 0

Thus x-y=0 or x= y and from x+y=16, we get x=y=8

A, C, E will be 6,2,0 or 4,3,1 and B, D, F will be 4,3,1 or 6,2,0 respectively. Thus A+B= 4+6 or 6+4 =10.