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08 Jul 2026, 09:29
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Most of the members of Bargaining Unit Number 17 of the government employees' union are computer programmers. Thus it is certain that some of the government employees who work in the Hanson Building are computer programmers, since ________.
The conclusion of the argument follows logically if which one of the following completes the passage?
(A) most of the government employees who belong to Bargaining Unit Number 17 but are not computer programmers work in the Hanson Building
(B) most members of the executive committee of Bargaining Unit Number 17 work in the Hanson Building
(C) most of the government employees who work in the Hanson Building are members of Bargaining Unit Number 17
(D) most of the members of Bargaining Unit Number 17 work in the Hanson Building
(E) most of the people who work in the Hanson building are government employees
The conclusion of the argument follows logically if which one of the following completes the passage?
(A) most of the government employees who belong to Bargaining Unit Number 17 but are not computer programmers work in the Hanson Building
(B) most members of the executive committee of Bargaining Unit Number 17 work in the Hanson Building
(C) most of the government employees who work in the Hanson Building are members of Bargaining Unit Number 17
(D) most of the members of Bargaining Unit Number 17 work in the Hanson Building
(E) most of the people who work in the Hanson building are government employees
08 Jul 2026, 10:13
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(A) Most of the BU17 members who are not programmers work in the Hanson Building.
This only tells us about the non-programmers. The programmers could all work elsewhere.
❌ Doesn't guarantee any programmer in Hanson.
(B) Most members of the executive committee of BU17 work in the Hanson Building.
We know nothing about whether executive committee members are programmers.
❌ Irrelevant.
(C) Most government employees who work in the Hanson Building are members of BU17.
This tells us Hanson → BU17, but doesn't tell us that any programmers are in Hanson. The BU17 members in Hanson could all be the minority who are not programmers.
Example:
BU17: 100 members (51 programmers, 49 non-programmers)
Hanson: 10 employees, 6 are BU17 members—and all 6 happen to be non-programmers.
Still satisfies (C), but no programmer is in Hanson.
❌ Doesn't work.
(D) ✅
Most members of BU17 work in the Hanson Building.
Let's combine:
More than half of BU17 are programmers.
More than half of BU17 work in Hanson.
Can these two groups be completely separate?
No. If more than half of a group have property A, and more than half have property B, then at least one member has both A and B.
Example:
100 BU17 members.
At least 51 are programmers.
At least 51 work in Hanson.
Since 51 + 51 = 102 > 100, the two groups must overlap.
This only tells us about the non-programmers. The programmers could all work elsewhere.
❌ Doesn't guarantee any programmer in Hanson.
(B) Most members of the executive committee of BU17 work in the Hanson Building.
We know nothing about whether executive committee members are programmers.
❌ Irrelevant.
(C) Most government employees who work in the Hanson Building are members of BU17.
This tells us Hanson → BU17, but doesn't tell us that any programmers are in Hanson. The BU17 members in Hanson could all be the minority who are not programmers.
Example:
BU17: 100 members (51 programmers, 49 non-programmers)
Hanson: 10 employees, 6 are BU17 members—and all 6 happen to be non-programmers.
Still satisfies (C), but no programmer is in Hanson.
❌ Doesn't work.
(D) ✅
Most members of BU17 work in the Hanson Building.
Let's combine:
More than half of BU17 are programmers.
More than half of BU17 work in Hanson.
Can these two groups be completely separate?
No. If more than half of a group have property A, and more than half have property B, then at least one member has both A and B.
Example:
100 BU17 members.
At least 51 are programmers.
At least 51 work in Hanson.
Since 51 + 51 = 102 > 100, the two groups must overlap.
08 Jul 2026, 14:45
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Most of the members of Bargaining Unit Number 17 of the government employees' union are computer programmers. Thus it is certain that some of the government employees who work in the Hanson Building are computer programmers, since ________.
The conclusion of the argument follows logically if which one of the following completes the passage?
We know that most members of Bargaining Unit 17 are computer programmers. To prove that some Hanson Building employees are computer programmers, we need a statement that forces an overlap between Unit 17 programmers and Unit 17 members who work in Hanson.
(A) most of the government employees who belong to Bargaining Unit Number 17 but are not computer programmers work in the Hanson Building
This does not work. It tells us where many non-programmers work, but the conclusion is about programmers.
(B) most members of the executive committee of Bargaining Unit Number 17 work in the Hanson Building
This does not work. We do not know whether executive committee members are computer programmers.
(C) most of the government employees who work in the Hanson Building are members of Bargaining Unit Number 17
This is not enough. The Hanson workers who belong to Unit 17 could all be from the minority of Unit 17 members who are not programmers.
(D) most of the members of Bargaining Unit Number 17 work in the Hanson Building
This is correct. Most Unit 17 members are programmers, and most Unit 17 members work in Hanson. Since both groups are more than half of Unit 17, they must overlap. So at least some Unit 17 members who work in Hanson are computer programmers.
(E) most of the people who work in the Hanson building are government employees
This does not work. It says nothing about whether any Hanson workers are computer programmers.
Answer: (D)
The conclusion of the argument follows logically if which one of the following completes the passage?
We know that most members of Bargaining Unit 17 are computer programmers. To prove that some Hanson Building employees are computer programmers, we need a statement that forces an overlap between Unit 17 programmers and Unit 17 members who work in Hanson.
(A) most of the government employees who belong to Bargaining Unit Number 17 but are not computer programmers work in the Hanson Building
This does not work. It tells us where many non-programmers work, but the conclusion is about programmers.
(B) most members of the executive committee of Bargaining Unit Number 17 work in the Hanson Building
This does not work. We do not know whether executive committee members are computer programmers.
(C) most of the government employees who work in the Hanson Building are members of Bargaining Unit Number 17
This is not enough. The Hanson workers who belong to Unit 17 could all be from the minority of Unit 17 members who are not programmers.
(D) most of the members of Bargaining Unit Number 17 work in the Hanson Building
This is correct. Most Unit 17 members are programmers, and most Unit 17 members work in Hanson. Since both groups are more than half of Unit 17, they must overlap. So at least some Unit 17 members who work in Hanson are computer programmers.
(E) most of the people who work in the Hanson building are government employees
This does not work. It says nothing about whether any Hanson workers are computer programmers.
Answer: (D)
