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22 Jul 2025, 01:11
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Rohanx9
I am given that the average cost of purchasing each new book is $28. So if I am talking about a bunch of books, their average cost of purchase must be $28 per book. Otherwise, this data point makes no sense. Even if you assume that $28 is not applicable to every book, you can certainly assume the cost per book as $28 for the 600 books. GMAT expects you to.
23 Jul 2025, 01:48
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We are given:
Statement 1 Analysis:
Statement 2 Analysis:
Answer: (D)
- Book cost = $28
- Library receives $15,000 annually, and an additional $2,000 if more than 5,000 items are checked out
- Question: Did the library receive the $2,000 bonus last year?
Statement 1 Analysis:
- Books purchased per year = 50 × 12 = 600
- Total Cost = 600 × 28 = $16,800
- But city gives only $15,000 unless bonus is earned.
- So if the library spent $16,800 and had enough funds from the city, it must have received the bonus:
Statement 2 Analysis:
- The lowest number of items checked out in one month was 459.
- That means every month, at least 459 items were checked out.
- Minimum total checkouts = 459 × 12 = 5,508 items
- So total items checked out > 5,000
- →Bonus was received
Answer: (D)
AbdurRakib
24 Jul 2026, 11:38
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But for the second statement, it is not mentioned that the lowest in one month was part of last year. Have we assumed it here or am i missing something ?
ScottTargetTestPrep
28 Jul 2026, 10:55
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Hi kaustubhkohli12,
Good instinct to check the time frame, but here the year is already locked in for you.
The question asks one specific thing: Did the library receive the bonus last year? In Data Sufficiency, each statement is understood to describe the very situation the question is about. So when Statement (2) talks about "the lowest number of items checked out in one month," that month is one of last year's months - the statement isn't floating free in some other year. There's no separate timeframe to assume; the question stem fixes it for both statements.
What Statement (2) actually gives
"The lowest number of items checked out in one month was 459" means that across last year's 12 months, the smallest monthly total was 459. So every month had at least 459 checkouts - no month could be lower, or 459 wouldn't be the lowest.
That gives a guaranteed minimum for the year:
- Minimum yearly total = 459 × 12 = 5,508
- The bonus needs the total to exceed 5,000
- Since even the worst case (5,508) already clears 5,000, the answer is a definite YES
Notice the logic doesn't depend on the exact monthly numbers at all. Whether a month had 459, 600, or 900, the floor of 459 per month is enough to push the year past 5,000. Every allowed scenario lands on the same answer - YES - which is exactly why Statement (2) alone is sufficient.
So you weren't missing a hidden assumption about which year; the question stem already tied both statements to last year. Your job was just to read what "lowest" guarantees - a minimum every month - and that minimum is all it takes.
Answer: D
Good instinct to check the time frame, but here the year is already locked in for you.
The question asks one specific thing: Did the library receive the bonus last year? In Data Sufficiency, each statement is understood to describe the very situation the question is about. So when Statement (2) talks about "the lowest number of items checked out in one month," that month is one of last year's months - the statement isn't floating free in some other year. There's no separate timeframe to assume; the question stem fixes it for both statements.
What Statement (2) actually gives
"The lowest number of items checked out in one month was 459" means that across last year's 12 months, the smallest monthly total was 459. So every month had at least 459 checkouts - no month could be lower, or 459 wouldn't be the lowest.
That gives a guaranteed minimum for the year:
- Minimum yearly total = 459 × 12 = 5,508
- The bonus needs the total to exceed 5,000
- Since even the worst case (5,508) already clears 5,000, the answer is a definite YES
Notice the logic doesn't depend on the exact monthly numbers at all. Whether a month had 459, 600, or 900, the floor of 459 per month is enough to push the year past 5,000. Every allowed scenario lands on the same answer - YES - which is exactly why Statement (2) alone is sufficient.
So you weren't missing a hidden assumption about which year; the question stem already tied both statements to last year. Your job was just to read what "lowest" guarantees - a minimum every month - and that minimum is all it takes.
Answer: D
kaustubhkohli12
