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

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:

1. 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.
2. 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.
3. 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.
4. 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.
5. 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.