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17 Feb 2025, 01:30
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (01:08) correct
20%
(01:28)
wrong
based on 56
sessions
History
Date
Time
Result
Not Attempted Yet
Did Alberto pay more than N dollars for his new stereo, excluding the sales tax?
(1) The price Alberto paid for the stereo was 1.05N, including the sales tax.
(2) Alberto paid $35 in sales tax on the purchase of his new stereo.
(1) The price Alberto paid for the stereo was 1.05N, including the sales tax.
(2) Alberto paid $35 in sales tax on the purchase of his new stereo.
17 Feb 2025, 01:51
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Bookmarks
Price of stereo = p
Sales tax = t
Is p > N?
Statement 1
p+t = 1.05N
But I don't know the split of p and t to determine if p > N
Insufficient
Statement 2
t = 35
This doesn't give any info on p
Insufficient
Combined
p+35 = 1.05N
p = 1.05N -35
I don't know if 0.05 N >,= or < 35
Insufficient
Sales tax = t
Is p > N?
Statement 1
p+t = 1.05N
But I don't know the split of p and t to determine if p > N
Insufficient
Statement 2
t = 35
This doesn't give any info on p
Insufficient
Combined
p+35 = 1.05N
p = 1.05N -35
I don't know if 0.05 N >,= or < 35
Insufficient
Bunuel
17 Feb 2025, 08:39
Kudos
Bookmarks
We need to determine if Alberto paid more than N dollars for his new stereo, excluding sales tax.
Evaluating the Statements
(1) The price Alberto paid for the stereo was 1.05N, including the sales tax.
- This means the total price (stereo + tax) is 1.05N.
- Without knowing the tax amount separately, we cannot determine if the pre-tax price was more than N.
- Not sufficient.
(2) Alberto paid 35 in sales tax on the purchase of his new stereo.
- This gives the tax amount but does not provide the total price or the tax rate.
- Not sufficient.
Evaluating Both Statements Together
- From statement (1): Total price = 1.05N
- From statement (2): Sales tax = 35
- Pre-tax price = Total price - Sales tax = 1.05N - 35
- To check if this is more than N, we set up the inequality:
1.05N - 35 > N
0.05N > 35
N > 700
- We can only answer "Yes" if N > 700. Since we don't know if N is greater than 700, we cannot definitively answer the question.
Conclusion
Answer: E (Statements 1 and 2 together are not sufficient).
Evaluating the Statements
(1) The price Alberto paid for the stereo was 1.05N, including the sales tax.
- This means the total price (stereo + tax) is 1.05N.
- Without knowing the tax amount separately, we cannot determine if the pre-tax price was more than N.
- Not sufficient.
(2) Alberto paid 35 in sales tax on the purchase of his new stereo.
- This gives the tax amount but does not provide the total price or the tax rate.
- Not sufficient.
Evaluating Both Statements Together
- From statement (1): Total price = 1.05N
- From statement (2): Sales tax = 35
- Pre-tax price = Total price - Sales tax = 1.05N - 35
- To check if this is more than N, we set up the inequality:
1.05N - 35 > N
0.05N > 35
N > 700
- We can only answer "Yes" if N > 700. Since we don't know if N is greater than 700, we cannot definitively answer the question.
Conclusion
Answer: E (Statements 1 and 2 together are not sufficient).
