A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:

Question:
A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:

[A].

214

[B].

476

[C].

954

[D].

1908

Answer: Option A

Explanation:

4 | x z = 6 x 1 + 4 = 10
———–
5 | y -2 y = 5 x z + 3 = 5 x 10 + 3 = 53
———–
6 | z – 3 x = 4 x y + 2 = 4 x 53 + 2 = 214
———–
| 1 – 4

Hence, required number = 214.