Explanation:

Although Qualifications for a person should possess to become eligible for appointment as a minister are:

• He should be a citizen of India.
• He should be above 25 years of age
• He should not hold any office of profit under the government of India
• If he is not a member of Parliament, then he should be elected to the Lok Sabha or the Rajya Sabha within six months after his appointment as a minister.

But this is not quite technically true, since one who is eligible to vote isn’t necessarily eligible to be a Minister (for e.g. on grounds of age). But, since UPSC has used the term a voter “can” and not “every voter”, Statement 1st is correct since many voters who meet the eligibility to be a Member of Parliament can be made a Minister. For e.g. 
Correct statements

• A voter CAN become a minister for six months.
• A voter eligible to become a Member of Parliament CAN become a minister for six months.
• Every voter that is eligible to become a Member of Parliament CAN become a minister for six months.
• First statement is only part of a larger correct statement, still true.

Incorrect statement: If they ask, EVERY voter can become a minister for six months.
Statement 2nd is incorrect: A person found guilty of any of the following shall be disqualified for a period of 6 years to contest elections after release from jail:

• Promoting hatred and enmity between classes
• Influencing elections
• Bribery
• Rape or other grave crimes against women
• Spreading religious disharmony
• Practising untouchability
• Importing or exporting prohibited goods
• Seling or consuming illegal drugs as well as other chemicals
• Engaging in terrorism in any form
• Have been imprisoned for at least two years.

Hence option 1st is correct.