What is the smallest number which when increased by 3 is divisible by 9, 35, 25 and 21? Choose the correct choice from the following options:
A) 1572
B) 1782
C) 1992
D) 2122
E) 2342

Rationale: "when increased by 3 , the number must include at least 3 ^ 2 * 5 ^ 2 * 7 = 1575 the answer is a ."
Answer: A