Numbers Q32

32.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 :

[A] 10

[C] 12

[B] 11

[D] 15

Answer : [A]

Explanation :

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.