2017 · Q89
A 3 digit number 4X3 is added to 984 to get a 4 digit number 13Y7. If 13Y7 is divisible by 11, then what is the value of (X+Y)?
general-mental-abilitynumber-alphabet-series
- A15
- B12
- C11
- D10
Explanation
From 4X3 + 984 = 13Y7, the hundreds column gives Y = 8 + X (mod 10). Divisibility of 13Y7 by 11 requires the alternating sum 7 − Y + 3 − 1 = 9 − Y to be a multiple of 11, so Y = 9 and hence X = 1. Thus X + Y = 10, giving (D).