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Question

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

Options:
A .  10
B .  11
C .  12
D .  15
E .  None of these
Answer: Option A
 -  4 a 3 + 9 8 4 = 1 3 b 7
a + 8 = b
b - a = 8
Also, 13b7 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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