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Current Student
Joined: 24 Jul 2016
Posts: 80
Location: United States (MI)
GPA: 3.6
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Re: D01-20
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 10 Dec 2016, 10:21
This is a little confusing. If factorial is not defined for negative numbers, then a and b must be positive.
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Intern
Joined: 07 Feb 2017
Posts: 7
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Re: D01-20
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17 Feb 2017, 05:34
BunuelAs per the solution given: (1) The median of {a!, b!, c!} is an odd number. This implies that b!=odd. Thus b is 0 or 1. But if b=0, then a is a negative number, so in this case a! is not defined. Therefore a=0 and b=1, so the set is {0!, 1!, c!}={1, 1, c!}. Now, if c=2, then the answer is YES but if c is any other number then the answer is NO. Not sufficient. it says b is 0 or 1. Is 0 an odd number?
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Math Expert
Joined: 02 Sep 2009
Posts: 52351
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Re: D01-20
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17 Feb 2017, 08:05
Darkhorse12 wrote: BunuelAs per the solution given: (1) The median of {a!, b!, c!} is an odd number. This implies that b!=odd. Thus b is 0 or 1. But if b=0, then a is a negative number, so in this case a! is not defined. Therefore a=0 and b=1, so the set is {0!, 1!, c!}={1, 1, c!}. Now, if c=2, then the answer is YES but if c is any other number then the answer is NO. Not sufficient. it says b is 0 or 1. Is 0 an odd number? 0 is an even integer. But 0! = 1 = odd.
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Manager
Joined: 27 Aug 2014
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Re: D01-20
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22 Apr 2017, 20:29
How is 0 factorial 1?
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Joined: 02 Sep 2009
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Re: D01-20
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23 Apr 2017, 02:41
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Joined: 03 Apr 2017
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Re: D01-20
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10 May 2017, 10:41
How can we determine that c must be 2 (not any other prime number) from the :
2) c! is a prime number.
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Math Expert
Joined: 02 Sep 2009
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Re: D01-20
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10 May 2017, 10:53
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Joined: 03 Apr 2017
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Re: D01-20
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10 May 2017, 10:56
My bad... stupid mistake, thanks anyway !
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Intern
Joined: 22 May 2017
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Re: D01-20
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15 Jun 2017, 06:05
Bunuel wrote: If a, b, and c are integers and \(a \lt b \lt c\), are a, b, and c consecutive integers?
(1) The median of {a!, b!, c!} is an odd number.
(2) c! is a prime number. Love your explanation.
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Current Student
Joined: 05 Jul 2015
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Location: India
GPA: 3.55
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Re: D01-20
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07 Aug 2017, 04:52
In this question, what we know from statement A is that b! is odd. So b could either be 0 or 1.
If b is 0, then a can still assume the value 0. a does not have to be negative.
The second statement tells us that c is 2, but gives no details on a and b.
Combining both the statements still gives us three possible values for {a!,b!,c!}:
I: {0!,0!,2!}
II: {0!,1!,2!}
III: {1!,1!,2!}
I and III would mean that the answer is NO and II would mean the answer is YES.
Going by this logic, I went with E.
Can anyone please correct me and explain how the answer is C? I do not understand any of the given explanations.
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Joined: 02 Sep 2009
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Re: D01-20
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07 Aug 2017, 15:50
anirudhb94 wrote: In this question, what we know from statement A is that b! is odd. So b could either be 0 or 1.
If b is 0, then a can still assume the value 0. a does not have to be negative.
The second statement tells us that c is 2, but gives no details on a and b.
Combining both the statements still gives us three possible values for {a!,b!,c!}:
I: {0!,0!,2!}
II: {0!,1!,2!}
III: {1!,1!,2!}
I and III would mean that the answer is NO and II would mean the answer is YES.
Going by this logic, I went with E.
Can anyone please correct me and explain how the answer is C? I do not understand any of the given explanations. Notice that we are told that a < b < c, so I and III are not possible, which leaves only a=0, b=1 and c=2.
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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!
Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.
Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat
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., 11 New DS set.
What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
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Manager
Joined: 07 Jun 2017
Posts: 102
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Re: D01-20
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08 Aug 2017, 23:47
Factorial of a number is prime
Can it be anything elses besides 2!?
Or 2! is the only factorial of a number is prime?
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Math Expert
Joined: 02 Sep 2009
Posts: 52351
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Re: D01-20
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08 Aug 2017, 23:50
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Intern
Joined: 30 Oct 2016
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Re D01-20
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09 Sep 2017, 14:00
I don't agree with the explanation. i think A should be the answer because a set (1,1,c!) will have a median of 1 always na
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Math Expert
Joined: 02 Sep 2009
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Re: D01-20
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09 Sep 2017, 14:07
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Intern
Joined: 20 Sep 2012
Posts: 7
Location: Russian Federation
Concentration: Finance, General Management
GPA: 3.5
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Re D01-20
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13 Oct 2017, 11:18
I think this is a high-quality question and I agree with explanation.
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Intern
Joined: 10 Feb 2017
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Re D01-20
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19 Nov 2017, 07:13
I think this is a high-quality question and I agree with explanation.
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Senior Manager
Joined: 31 May 2017
Posts: 320
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Re: D01-20
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13 Mar 2018, 16:48
I got it wrong in the tests due to oversight on my part. Option 1 - The factorial of a number can be odd only if its 0 or 1. This gives a value of b. But C can be any number greater than b. - Not sufficient. Option 2 - c! is a prime number. The only number whose factorial is prime is 2. So we get the value of c as 2. but we do not have value of a and b. Not sufficient. Considering both the options, we can find that the numbers are consecutive numbers. Ans: C
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Intern
Joined: 09 Jan 2018
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Re D01-20
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05 Jun 2018, 22:49
I think this is a high-quality question and I agree with explanation.
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Intern
Joined: 01 Jun 2018
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Re D01-20
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28 Jun 2018, 08:57
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. C! Is a prime number, it's given in question that a<b<c, since the only prime factorial is 2, c must be 2, and a is 0, b is 1. Please explain
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