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  1. 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) = ?

    2. A.

    10
    B.

    11
    C.

    12
    D.

    15

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    Answer : Option A

    Explanation : 

    4 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.

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