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The only gift certificates that a certain store sold [#permalink]
 25 Jun 2012, 02:58
Question Stats:
53% (02:41) correct
46% (01:08) wrong based on 1 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectThe only gift certificates that a certain store sold yesterday were worth either $100 each or $10 each. If the store sold a total of 20 gift certificates yesterday, how many gift certificates worth $10 each did the store sell yesterday? (1) The gift certificates sold by the store yesterday were worth a total of between $1,650 and $1,800. (2) Yesterday the store sold more than 15 gift certificates worth $100 each. Diagnostic Test
Question: 30
Page: 25
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Re: The only gift certificates that a certain store sold [#permalink]
25 Jun 2012, 02:59
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SOLUTIONThe only gift certificates that a certain store sold yesterday were worth either $100 each or $10 each. If the store sold a total of 20 gift certificates yesterday, how many gift certificates worth $10 each did the store sell yesterday?Say the number of $100 certificates sold was x, then the number of $10 certificates sold was 20-x. (1) The gift certificates sold by the store yesterday were worth a total of between $1,650 and $1,800 --> 1,650<100x+10(20-x)<1,800 --> 1,650<90x+200<1,800 --> 1,450<90x<1,600 --> 145<9x<160 --> 16.1<x<17.8. Since x is an integer then x=17. Sufficient. (2) Yesterday the store sold more than 15 gift certificates worth $100 each --> x>15. Clearly insufficient. Answer: A.
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Re: The only gift certificates that a certain store sold [#permalink]
25 Jun 2012, 08:57
Hi, Difficulty level: 650 Let's say, Number of gift certificates worth $100 = x Number of gift certificates worth $10 = y and x+y=20 Using (1), 1650<100x+10y<1800or 165<10x+y<180or 165<20+9x<180 (given, x+y=20) or 145<9x<160or 145/9<x<160/9or 16.1< x < 17.7Thus, x = 17. Sufficient. Using (2), x > 15. Insufficient. Answer (A), Regards,
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Re: The only gift certificates that a certain store sold [#permalink]
25 Jun 2012, 18:46
(1) The gift certificates sold by the store yesterday were worth a total of between $1 ,650 and $1,800.
Suff as only one combination of $100 and $10 GC is possible for total ranging from 1650-1800 i.e 17 ($100) and 3 ($10) total 1730, all other combinations within this range do not meet total number of GC condition
(2) Yesterday the store sold more than 15 gift certificates worth $100 each
Insuff as more than 15 can mean 16 and 4, 17 and 3, 18 and 2
THerefore A
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Re: The only gift certificates that a certain store sold [#permalink]
26 Jun 2012, 00:30
Hi, Difficulty level: 600 Number of gift certificates worth $100 = x Number of gift certificates worth $10 = y and x+y=20 Statement (1) 1650 < x+y < 1800 This gives us only one possible solution... 1730 Since there has to be 20 gift certificates and x=100$ and y=10$, 1730 is the only number that is between 1650 and 1800 that corresponds with 20 gift certificates Every other solution is out of range e.g. 16 x 100$ + 4 x 10$ = 1640$ or 18 x 100$ + 2 x 10$ = 1820$, both out of the range 1650 < x+y < 1800 Statement (2) clearly insufficient since you can have more than one possible solution.
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Re: The only gift certificates that a certain store sold [#permalink]
26 Jun 2012, 14:52
x+y = 20
st1.) 1650<100x+10y<1800
with ths eqn and x+y = 20
sufficient
st.2) x>15
not sufficient
Answer A.
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Re: The only gift certificates that a certain store sold [#permalink]
29 Jun 2012, 04:10
SOLUTIONThe only gift certificates that a certain store sold yesterday were worth either $100 each or $10 each. If the store sold a total of 20 gift certificates yesterday, how many gift certificates worth $10 each did the store sell yesterday?Say the number of $100 certificates sold was x, then the number of $10 certificates sold was 20-x. (1) The gift certificates sold by the store yesterday were worth a total of between $1,650 and $1,800 --> 1,650<100x+10(20-x)<1,800 --> 1,650<90x+200<1,800 --> 1,450<90x<1,600 --> 145<9x<160 --> 16.1<x<17.8. Since x is an integer then x=17. Sufficient. (2) Yesterday the store sold more than 15 gift certificates worth $100 each --> x>15. Clearly insufficient. Answer: A.
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DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!
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The only gift certificates that a certain store sold [#permalink]
25 Dec 2012, 01:35
Is this a trap question?
That is the intentions of the writer is to make you think that you need 1 and 2 to be able to get the correct answer.
because 2 is obviously not correct and if you weren't able to do 1 properly, you would have to automatically assume that 2 is required.
It seems like it is always advantageous to simply pick the A (or whatever is the harder stem) in these types of questions.
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Re: The only gift certificates that a certain store sold [#permalink]
28 Dec 2012, 18:50
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Yes, this question pretty much wants you to understand that A alone is sufficient, otherwise the fallback answer would be C. St II is obviously not sufficient by itself.
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Re: The only gift certificates that a certain store sold
[#permalink]
28 Dec 2012, 18:50
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