If bond A and B have the same duration, but bond B has less convexity than A, then which of the following statement(s) is correct?

(a) the price of bond A will fall more than B if the level of interest rates increases.

(b) the price of bond A will fall less than B if the level of interest rates increases.

(c) the price of bond A will rise more than B if the level of interest rates decreases.

(d) the price of bond A will rise less than B if the level of interest rates decreases.

(e) the price of bond A will change in the same amount as B for a given change in the level of interest rates because they have the same duration

Please help select which ones a-e would be right (with a brief explanation if possible)