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Numbers - General Aptitude

Q1:

A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?

A 10

B 11

C 12

D 15

ANS:A - 10 

a 3 | 9 8 4 } ==> a + 8 = b ==> b - a = 8 13 b 7 |
Also, 13 b7 is divisible by 11      (7 + 3) - (b + 1) = (9 - b)    (9 - b) = 0    b = 9  (b = 9 and a = 1)     (a + b) = 10.