The answer is E.
According to the passage, many burglars are driven by addiction, looking for a quick buck [in the logical formulation: (burglars + addiction + quick buck)*many]. Thus, it can be inferred from the amount specified that there are some burglars who are driven by this. Also, there is no logical fallacy in the transposing of both sentence parts, i.e., a few people driven by addiction and looking for quick money are actually burglars [in the logical formulation: (addiction + quick buck + burglars)*many].
Answer (A): According to the passage, most burglars that break into homes are out for cash, jewellery, and electronics [in the logical formulation: (burglars + out for cash, jewellery and electronics)*most]. When an amount is specified, the transposed statement cannot be inferred, as in answer (A), which states that most people who are out for cash, jewellery and electronics are burglars (out for cash, jewellery, and electronics + burglars)*most. Thus, answer (A) is incorrect.
Answer (B): According to the passage, a few burglars break into homes with the intention of hurting the residing families [in the logical format: (burglars + hurt)*a few]. Thus, answer (B) cannot be inferred, as it states that a lot of people break into homes with the intention of hurting the residing families [in the logical format: (people + hurt)*a lot]. The amount specified in answer (B) does not fit the premise (only the opposite conclusion can be inferred - see logical principle "many-some").
Answer (C): According to answer (C), some burglars do not actually break into homes, yet are still interested in jewellery [in the logical format: (burglars + not breaking in + jewellery)*some]. While this could be true, this information is not supported in the text, as information is only given about burglars who do break into homes.
Answer (D): Although the passage states noises and lights deter most burglars from breaking in (in the logical format: noises and lights ➞ deter burglars), no information is given of what happens when the lights are out and music is not being played. Thus, the opposite notion presented in answer (D) is not supported (in the logical formulation: no noises and no lights ➞ no deterring of burglars).
Logical principles:
Many ➞ some: According to logic principles, if it is known that there are many (a lot, most etc.), then it can be concluded that there must be some (a few). This principle cannot be reversed for inference from amount type premises: if it is stated that there are some, it cannot be deduced that there are many.
Transposed negative: As demonstrated in answer (D), a generalizing statement is not equivalent to the negative form of the same statement (all A ➞ are B is not logically equivalent to all, not A ➞ are not B). However, a transposed negative form is equivalent: all not B ➞ are not A! E.g., if all police officers on duty wear uniforms, it can be inferred that if one is not wearing a uniform, one is not a police officer on duty.