Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
The Competition Continues - Game of Timers is a team-based competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th
W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. Wha
[#permalink]
Show Tags
Updated on: 22 Jul 2016, 06:50
6
Top Contributor
6
Bunuel wrote:
W, X, Y, and Z represent distinct digits such that (WX)(YZ) = 1995. What is the value of W?
(1) X is a prime number (2) Z is not a prime number
Target question:What is the value of W?
Given: W, X, Y, and Z represent distinct digits such that (WX)(YZ) = 1995 Let's take a close look at what we can conclude from this info. Whenever I see a big number like 1995, I consider finding its PRIME FACTORIZATION 1995 = (3)(5)(7)(19) In what ways can we take this and rewrite 1995 as the product of two 2-digit integers? We get 4 possible cases; (WX)(YZ) = 1995 a) (21)(95) = 1995 b) (95)(21) = 1995 c) (35)(57) = 1995 d) (57)(35) = 1995
HOWEVER, since all 4 digits must be DISTINCT, we must eliminate cases c and c, which leaves us with only 2 possible cases. (WX)(YZ) = 1995 a) (21)(95) = 1995 b) (95)(21) = 1995
Statement 1: X is a prime number Since 1 is not prime, we can rule out case a. This leaves only case b, which means W must equal 9 Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: Z is not a prime number 1 is the only NON-PRIME number, so this rules out case a. This leaves only case b, which means W must equal 9 Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Re: W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. Wha
[#permalink]
Show Tags
22 Jul 2016, 04:17
1
GMATPrepNow wrote:
Bunuel wrote:
W, X, Y, and Z represent distinct digits such that (WX)(YZ) = 1995. What is the value of W?
(1) X is a prime number (2) Z is not a prime number
Target question:What is the value of W?
Given: W, X, Y, and Z represent distinct digits such that (WX)(YZ) = 1995 Let's take a close look at what we can conclude from this info. Whenever I see a big number like 1995, I consider finding its PRIME FACTORIZATION 1995 = (3)(5)(7)(19) In what ways can we take this and rewrite 1995 as the product of two 2-digit integers? We get 4 possible cases; (WX)(YZ) = 1995 a) (21)(95) = 1995 b) (95)(21) = 1995 c) (35)(57) = 1995 d) (57)(35) = 1995
Statement 1: X is a prime number This means that cases b, c and d are possible. In cases b, c and d, W can equal 9, 3 or 5 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Z is not a prime number The possible values of Z are 5, 1 and 7 1 is the only NON-PRIME number, so this rules out cases a, c and d. This leaves only case b, which means W must equal 9 Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Re: W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. Wha
[#permalink]
Show Tags
30 Jul 2017, 06:05
What is the best way to solve this under two minutes? How are we to recognize such questions - any leads to similar questions? VeritasPrepKarishmaBunuel
bumpbot wrote:
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. Wha
[#permalink]
Show Tags
30 Jul 2017, 06:40
Bunuel wrote:
W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. What is the value of W?
(1) X is a prime number (2) Z is not a prime number
Hi..
factorize 1995.. \(1995=3*5*7*19\) now 19 has to be multiplied with another prime factor otherwise the other integer becomes 3 digit integer 105.. 19*105 so possiblities-- 1)19*3 and 5*7 that is 57 and 35... NOT possible as 5 is repeated 2) 19*5 and 3*7 that is 95 and 21.. possible 3) 19*7 and 3*5... NOT possible as 19*7 becomes 3-digit integer
WX can be 95 or 21.. so W can be 9 or 2
lets see the statements.. (1) X is a prime number If X is prime WX has to be 95... so W is 9 suff
(2) Z is not a prime number If Z is not prime, YZ must be 21. so WZ is 95 and W is 9 suff
Re: W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. Wha
[#permalink]
Show Tags
30 Jul 2017, 08:55
1
D is the Answer
factorization of 1995 yields 5x3x7x19 of which 95x21 is the combination we are interested in.
95x21=1995 the distinct digits are 1,2,9,5 w9 x5 y2 z1
1) X is prime = 95x21=1995 , w=9 , hence A or D. ( where X=5) 2) Z is not prime= 95x21=1995, w=9 hence Only D (where Z = 1) ( Therefore A is rejected)
_________________
Give Kudos for correct answer and/or if you like the solution.
Re: W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. Wha
[#permalink]
Show Tags
01 Aug 2017, 19:56
Purvil311 wrote:
Given WX * YZ = 1995
With Statement (1), knowing X is prime does not help us determine W. We know that either X or Z has to be 5, but we dont know which one.
With Statement (2), we are told Z is not prime. This means X has to be 5, which is prime (Note that we don't need to know statement 1 here).
Prime factors of 1995 are 3, 5, 7 and 19.
In order for our product to have a 5 in the units digit, we need an odd number to multiply by 5.
If Z is not prime, then it can be either 1 or 9 (rest of the odd integers are prime)
We know so far: W5 * Y(1 or 9) = 1995
Two possibilities: If X is 9, then YZ = 19 (one of the prime factors). But we would need WX to be 105 (3*5*7), which does not make sense.
The other option is that X is 1, which gives us YZ = 21 (3 * 7). Now WX is 95 (5*19) and this satisfies our two digit constraint. Thus W is 9.
Answer is B (Statement 2 alone)
Please let me know if I committed an error in my thinking.
chetan2u please correct the OA. The answer should be B, as explained above.
1995 = 3*5*7*19 The only two digit couples that can be formed are 35*57 21*95 from statement 1, x is prime it could be either of the two pairs as both have atleast one number with 5 as unit's digit.
statement 2, z isn't prime. Only 21*95 will qualify. 1 is neither prime nor composite.
_________________
W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. Wha
[#permalink]
Show Tags
01 Aug 2017, 19:58
chetan2u wrote:
Bunuel wrote:
W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. What is the value of W?
(1) X is a prime number (2) Z is not a prime number
Hi..
factorize 1995.. \(1995=3*5*7*19\) now 19 has to be multiplied with another prime factor otherwise the other integer becomes 3 digit integer 105.. 19*105 so possiblities-- 1)19*3 and 5*7 that is 57 and 35... NOT possible as 5 is repeated 2) 19*5 and 3*7 that is 95 and 21.. possible 3) 19*7 and 3*5... NOT possible as 19*7 becomes 3-digit integer
WX can be 95 or 21.. so W can be 9 or 2
lets see the statements.. (1) X is a prime number If X is prime WX has to be 95... so W is 9 suff
(2) Z is not a prime number If Z is not prime, YZ must be 21. so WZ is 95 and W is 9 suff
D
Statement 1 can easily qualify for both of the two. Isn't 7 prime? Isn't 5 prime? Then, what's wrong with 35*57? Why only 95? The statement isn't saying that "ONLY" x is prime, right? _________________
Re: W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. Wha
[#permalink]
Show Tags
09 Aug 2018, 02:10
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
close
21% (02:47) correct 
