Question

Read the following statements.
The leave policy is bound to be unpopular either with the management or among workers. If the leave policy is unpopular with the management, it should be modified. We should adopt a new policy if it is unpopular with workers.
If the above statements are true, which one of the following MUST also be true?

• A. If the leave policy is popular with the management, then we should adopt a new policy.
• B. If the leave policy is popular among workers, then we should adopt a new policy.
• C. We should modify the leave policy only if this will not reduce its popularity among workers.
• D. We should modify the leave policy if modification will not reduce its popularity with the management.
• E. We should attempt to popularize the leave policy among either the management or workers.

Answer 1

The Correct Option is A

This problem is a logical reasoning question that involves evaluating the given statements and determining which conclusion must be true. Let's analyze the statements step by step:

1. The leave policy is bound to be unpopular either with the management or among workers. This means one of these groups will be unhappy with the policy.
2. If the leave policy is unpopular with the management, it should be modified. This statement suggests a course of action when the management is not satisfied.
3. We should adopt a new policy if it is unpopular with workers. Here, a different action is suggested when workers are dissatisfied.

Now, let's evaluate the options:

1. Option 1: If the leave policy is popular with the management, then we should adopt a new policy.

Since the leave policy has to be unpopular with either the management or the workers, if it is popular with the management, it must be unpopular with the workers. As per the third statement, if it's unpopular with the workers, we should adopt a new policy. Thus, this option logically follows from the statements.

1. Option 2: If the leave policy is popular among workers, then we should adopt a new policy.

This contradicts the condition that if the policy is unpopular with workers, a new policy is needed. If it's popular with workers, there's no directive to adopt a new policy.

1. Option 3: We should modify the leave policy only if this will not reduce its popularity among workers.

There's no premise supporting this statement. Modifications are only suggested if the management is unhappy.

1. Option 4: We should modify the leave policy if modification will not reduce its popularity with the management.

The modification is suggested solely based on the management's unpopularity with the policy, rather than maintaining popularity.

1. Option 5: We should attempt to popularize the leave policy among either the management or workers.

The statements do not suggest any need for attempting to popularize the policy, only addressing unpopularity through modifications or new policies.

Therefore, the correct answer is:

Option 1: If the leave policy is popular with the management, then we should adopt a new policy.

Answer 2

To solve this problem, we need to analyze the given statements and deduce the consequences logically. Let's break down the information provided:

• Statement 1: The leave policy is bound to be unpopular either with the management or among workers.
• Statement 2: If the leave policy is unpopular with the management, it should be modified.
• Statement 3: We should adopt a new policy if it is unpopular with workers.

From these, we infer:

• The leave policy must be unpopular with at least one of the two groups: management or workers.
• If unpopular with the management, it must be modified.
• If unpopular with workers, a new policy should be adopted.

Now, let's examine the options:

If the leave policy is popular with the management, then we should adopt a new policy.

Analysis: If the policy is popular with the management, it must be unpopular with the workers (as per statement 1). Hence, according to statement 3, a new policy should be adopted. This option aligns with the given statements.

If the leave policy is popular among workers, then we should adopt a new policy.

Analysis: If it’s popular with the workers, it must be unpopular with the management. There is no mention of adopting a new policy; rather, it should be modified. This does not match the logic provided.

We should modify the leave policy only if this will not reduce its popularity among workers.

Analysis: While logical, it is not a necessary truth derived from the given statements, as it introduces a new conditional.

We should modify the leave policy if modification will not reduce its popularity with the management.

Analysis: This statement introduces a condition not presented or implied in the original problem.

We should attempt to popularize the leave policy among either the management or workers.

Analysis: The statements only focus on modification or adopting a new policy rather than popularizing it.

Therefore, the option that MUST be true based on the given statements is: If the leave policy is popular with the management, then we should adopt a new policy.