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Updated on: 18 Jan 2015, 03:05
Originally posted by SUNGMAT710 on 11 Sep 2013, 03:16.
Last edited by Bunuel on 18 Jan 2015, 03:05, edited 2 times in total.
Last edited by Bunuel on 18 Jan 2015, 03:05, edited 2 times in total.
Edited the question.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
67% (02:27) correct
33%
(02:29)
wrong
based on 2055
sessions
History
Date
Time
Result
Not Attempted Yet
Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6 percent sales tax. Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs. Will it cost more for Ellen to purchase the computer from the local store than from the catalog?
(1) q - p < 50
(2) q = 1,150
(1) q - p < 50
(2) q = 1,150
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11 Sep 2013, 03:38
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Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6 percent sales tax. Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs. Will it cost more for Ellen to purchase the computer from the local store than from the catalog?
The price from the store = p+0.06p=1.06p.
The price from the catalog = q.
The question asks: is 1.06p>q?
(1) q - p < 50. If q=p, then the answer is YES (1.06p>q) but if q=120 and p=100, then the answer is NO (1.06p<q). Not sufficient.
(2) q = 1,150. The question becomes: is 1.06p>1,150. No info about p. Not sufficient.
(1)+(2) Since q = 1,150, then from (1) we have that 1,150-p<50 --> p>1,100 --> 1.06p>1,100*1.06>1,150. Sufficient.
Answer: C.
Hope it's clear.
The price from the store = p+0.06p=1.06p.
The price from the catalog = q.
The question asks: is 1.06p>q?
(1) q - p < 50. If q=p, then the answer is YES (1.06p>q) but if q=120 and p=100, then the answer is NO (1.06p<q). Not sufficient.
(2) q = 1,150. The question becomes: is 1.06p>1,150. No info about p. Not sufficient.
(1)+(2) Since q = 1,150, then from (1) we have that 1,150-p<50 --> p>1,100 --> 1.06p>1,100*1.06>1,150. Sufficient.
Answer: C.
Hope it's clear.
24 Feb 2015, 22:26
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Hi All,
Certain types of DS questions will appear on Test Day to measure the thoroughness of your thinking. You can see from the statistics above this prompt that almost half of the people who attempted it got it wrong. My guess is that most (if not all) of them COULD have gotten it correct, but they just didn't do enough work to PROVE what the correct answer is.
The prompt tells us about two ways that Ellen could purchase a computer:
1) From a store - for $P + 6% tax
2) From a catalog - for a total price of $Q
We're asked if it will cost Ellen MORE to buy the computer from the store than from the catalog. In real simple terms, it's asking "Is 1.06(P) > Q?" This is a YES/NO question.
Fact 1: Q - P < 50
From this, we don't know if Q or P is bigger, but we can still TEST VALUES to prove the inconsistency....
IF...
Q = 50
P = 1
1.06(1) is NOT > 50. The answer to the question is NO.
IF....
Q = 50
P = 53
1.06(53) IS > 50. The answer to the question is YES.
Fact 1 is INSUFFICIENT.
Fact 2: Q = 1150
This tells us nothing about the value of P, so we cannot figure out the value of 1.06(P).
Fact 2 is INSUFFICIENT
Combined, we know....
Q - P < 50
Q = 1150
At this point, many Test Takers would assume that this was insufficient, without gathering ANY proof. It's always interesting when Quant questions include specific numbers - those numbers were CHOSEN for a reason. They are NOT by accident. So it's interesting that Q = 1150 EXACTLY. Maybe there's a reason....maybe there's a pattern here....
Substituting in the value of Q, we have...
1150 - P < 50
1100 < P
Now this provides a lower limit to what P can be, but we MUST factor in the 6% tax too....
At the 'low end', P = just over $1100. With a 6% tax, (.06)(1100) = $66, so 1.06(P), at the minimum = a little more than 1100 + 66 = $1166. Every other possible price for P is GREATER than this. By extension, EVERY possible value of 1.06(P) is greater than Q.
Combined, SUFFICIENT.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
Certain types of DS questions will appear on Test Day to measure the thoroughness of your thinking. You can see from the statistics above this prompt that almost half of the people who attempted it got it wrong. My guess is that most (if not all) of them COULD have gotten it correct, but they just didn't do enough work to PROVE what the correct answer is.
The prompt tells us about two ways that Ellen could purchase a computer:
1) From a store - for $P + 6% tax
2) From a catalog - for a total price of $Q
We're asked if it will cost Ellen MORE to buy the computer from the store than from the catalog. In real simple terms, it's asking "Is 1.06(P) > Q?" This is a YES/NO question.
Fact 1: Q - P < 50
From this, we don't know if Q or P is bigger, but we can still TEST VALUES to prove the inconsistency....
IF...
Q = 50
P = 1
1.06(1) is NOT > 50. The answer to the question is NO.
IF....
Q = 50
P = 53
1.06(53) IS > 50. The answer to the question is YES.
Fact 1 is INSUFFICIENT.
Fact 2: Q = 1150
This tells us nothing about the value of P, so we cannot figure out the value of 1.06(P).
Fact 2 is INSUFFICIENT
Combined, we know....
Q - P < 50
Q = 1150
At this point, many Test Takers would assume that this was insufficient, without gathering ANY proof. It's always interesting when Quant questions include specific numbers - those numbers were CHOSEN for a reason. They are NOT by accident. So it's interesting that Q = 1150 EXACTLY. Maybe there's a reason....maybe there's a pattern here....
Substituting in the value of Q, we have...
1150 - P < 50
1100 < P
Now this provides a lower limit to what P can be, but we MUST factor in the 6% tax too....
At the 'low end', P = just over $1100. With a 6% tax, (.06)(1100) = $66, so 1.06(P), at the minimum = a little more than 1100 + 66 = $1166. Every other possible price for P is GREATER than this. By extension, EVERY possible value of 1.06(P) is greater than Q.
Combined, SUFFICIENT.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
