Public Key Cryptography

Consider the RSA algorithm with p $=11$ e q $=3.$

$($a$)$ Which of the following numbers can be used as value of e$?$

A$.3$

B$.5$

C$.7$

$($b$)$ Using the value of e selected in the previous question, compute the ciphertext C corresponding to the bit string M $=001011000101.$ Please justify your answer by writing all

the intermediate computations.

$($e$)$ Determine the decryption key $($d$,$n$).$ Please justify your answer by writing all the intermediate computations.