Beth's bank charges a service fee on a regular checking

Yes, the answer is E since it doesn't provide any information about deposits. And also if deposits are mentioned still it is tricky to figure out if at any time the balance fell below $100

Target question: Did the bank charge a service fee on Beth's regular checking account last month?

REPHRASED target question: Did Beth's balance ever go below $100?

Statement 1: During last month, a total of $1,000 was withdrawn from Beth's regular checking account.
Were given no information about her starting balance, so we can't say whether or not Beth's balance went below $100
INSUFFICIENT

Statement 2: At the beginning of last month, Beth's regular checking account balance was $500.
Were given no information about how much money Beth withdrew over the month, so we can't say whether or not Beth's balance went below $100
INSUFFICIENT

Statements 1 and 2 combined
Here are two CONTRADICTORY scenarios that could have occurred:
Case a: Beth begins the month with $500. On Day 2, she deposits $500 more. On Day 3, she withdraws $1000. In this case, Beth's balance went below $100.
Case b: Beth begins the month with $500. On Day 2, she deposits $10,000 more. On Day 3, she withdraws $1000. No other deposits or withdrawals are made for the rest of the month. In this case, Beth's balance NEVER went below $100.
Since we cannot answer the REPHRASED target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent

This is a Yes-No type of DS question. The question we have to answer is if the bank charged Beth a service fee, which in other words, boils down to finding if her account balance fell below $100.

From statement I alone, a total of $1000 was withdrawn from Beth’s account. But, we do not know how much the balance in the account was before the withdrawal was done.
We also do not have any information about the deposits that were made, statement I doesn’t tell us anything about deposits made.
Statement I alone is insufficient to answer the question. Answer options A and D can be eliminated. Possible answer options at this stage are B, C or E.

From statement II alone, Beth’s regular checking account had $500 at the beginning of last month. This is very insufficient to find out what the balance was at the end of the month and hence to find out if the service fee was charged.
Statement II alone is insufficient, answer option B can be eliminated. Possible answer options are C or E.

Combining statements I and II, we have the following:
From statement II, we have the information about the balance at the beginning of the month.
From statement I, we have the information about the total amount due to the withdrawals made.
However, we still do not have information about the deposits made into Beth’s account. It’s still possible that a substantial sum was deposited and her balance never even came close to $100, let alone being lesser.
The combination of statements is insufficient to answer the question. Answer option C can be eliminated.

The correct answer option is E.

Hope that helps!
Arvind.

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