Question

The question below consists of a main statement followed by four options. Select the one that logically follows the main statement.
'Whenever I go shopping. I end up spending more'

• A. I went for shopping means I end up spending less
• B. I did not go for shopping; implies I did not spend more
• C. I did not spend more, means I did not go for shopping
• D. Both (1) and (2)

Answer 1

The Correct Option is C

To solve this logical reasoning question, we must identify the implication of the main statement and how it logically connects to the options provided. 

The main statement is: 'Whenever I go shopping, I end up spending more.' This can be interpreted as a conditional statement:

\(P \rightarrow Q\)

Where:

• \(P\): I go shopping
• \(Q\): I end up spending more

Given this conditional statement, the contrapositive would be logically equivalent. The contrapositive of \(P \rightarrow Q\) is \(\neg Q \rightarrow \neg P\), which translates to:

"If I did not spend more, then I did not go shopping."

Now, let's evaluate the options:

1. I went for shopping means I end up spending less - This is incorrect because it contradicts the original statement.
2. I did not go for shopping; implies I did not spend more - This is not a logical certainty derived from the original statement. It may or may not be true.
3. I did not spend more, means I did not go for shopping - This is the contrapositive of the original statement and is logically correct.
4. Both (1) and (2) - This is incorrect as neither (1) nor (2) logically follows from the main statement.

Therefore, the correct answer is: I did not spend more, means I did not go for shopping.