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29 Apr 2026, 19:00
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A neighborhood library purchased 45 paperback copies of a novel at an average price of $16 per copy. It then decided to buy 15 hardcover copies of the same novel as well. Was the average (arithmetic mean) price per copy of all 60 books less than $22?
(1) The total cost of the 15 hardcover copies bought was more than $550
(2) Each hardcover copy cost less than $40.
The OA will be automatically revealed on Saturday 2nd of May 2026 07:00:06 PM Pacific Time Zone
(1) The total cost of the 15 hardcover copies bought was more than $550
(2) Each hardcover copy cost less than $40.
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The OA will be automatically revealed on Saturday 2nd of May 2026 07:00:06 PM Pacific Time Zone
29 Apr 2026, 21:34
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Given:
45 books at $16 each
→ total = 45 × 16 = 720
15 hardcover books → let total cost = H
Total books = 60
---
Question:
Average < 22
⇒ (720 + H) / 60 < 22
⇒ 720 + H < 1320
⇒ H < 600
---
So we need:
H < 600
---
Check statements:
(1) H > 550
→ could be 560 → satisfies
→ could be 590 → satisfies
→ could be 610 → not allowed
So we can’t fix a definite answer
❌ Not sufficient
---
(2) Each < 40
So total H < 15 × 40 = 600
⇒ H < 600
This directly satisfies the condition
✔️ Sufficient
---
Final Answer:
B
---
Hope this helps.
If anything feels off, feel free to tag me — we can go through it.
– Rajdeep
45 books at $16 each
→ total = 45 × 16 = 720
15 hardcover books → let total cost = H
Total books = 60
---
Question:
Average < 22
⇒ (720 + H) / 60 < 22
⇒ 720 + H < 1320
⇒ H < 600
---
So we need:
H < 600
---
Check statements:
(1) H > 550
→ could be 560 → satisfies
→ could be 590 → satisfies
→ could be 610 → not allowed
So we can’t fix a definite answer
❌ Not sufficient
---
(2) Each < 40
So total H < 15 × 40 = 600
⇒ H < 600
This directly satisfies the condition
✔️ Sufficient
---
Final Answer:
B
---
Hope this helps.
If anything feels off, feel free to tag me — we can go through it.
– Rajdeep
29 Apr 2026, 22:24
Kudos
Bookmarks
Statement 1:
Taking the critical point that is 550 and use average formula:
We see that the the average is less than 22. But when greater than 550, avg could be more than 22.
INSUFFICIENT.
Statement 2:
Taking 40*15 = 600.
Using avg formula we see that we get:
Avg = 22.
But each is less than 40.
Thus avg is less than 22.
SUFFICIENT.
Answer: Option B
Taking the critical point that is 550 and use average formula:
We see that the the average is less than 22. But when greater than 550, avg could be more than 22.
INSUFFICIENT.
Statement 2:
Taking 40*15 = 600.
Using avg formula we see that we get:
Avg = 22.
But each is less than 40.
Thus avg is less than 22.
SUFFICIENT.
Answer: Option B
Bunuel
