Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 27 Feb 2012
Posts: 37

In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
07 Jan 2013, 21:46
1
This post received KUDOS
1
This post was BOOKMARKED
Question Stats:
78% (01:00) correct 22% (01:02) wrong based on 161 sessions
HideShow timer Statistics
In a certain twodigit integer, the ratio of the units digit to the tens digit is 2 to 3. What is the integer? (1) The tens digit is 3 more than the units digit. (2) The product of the two digits is 54.
Official Answer and Stats are available only to registered users. Register/ Login.



Intern
Joined: 27 Feb 2012
Posts: 37

Re: In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
07 Jan 2013, 21:54
(1)I get more than one possibilities therefore I think BCE (2) i get 96 so B is a possibility so I think the answer is C because 96 appears in both but OG says D? How is statement one sufficient when more than once possibility can be derived from stmt 1



Current Student
Joined: 27 Jun 2012
Posts: 401
Concentration: Strategy, Finance

Re: In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
07 Jan 2013, 22:13
2
This post received KUDOS
There are only three possibilities with ratio 3:2 > 32, 64, and 96. (1) The tens digit is 3 more than the units digit. SUFFICIENT: Only number that satisfies is 96. (6+3=9) (2) The product of the two digits is 54. SUFFICIENT: Only number that satisfies is 96. (9 * 6=54) Hence (D) is the answer.
_________________
Thanks, Prashant Ponde
Tough 700+ Level RCs: Passage1  Passage2  Passage3  Passage4  Passage5  Passage6  Passage7 Reading Comprehension notes: Click here VOTE GMAT Practice Tests: Vote Here PowerScore CR Bible  Official Guide 13 Questions Set Mapped: Click here Looking to finance your tuition: Click here



VP
Joined: 02 Jul 2012
Posts: 1212
Location: India
Concentration: Strategy
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
07 Jan 2013, 22:18
1
This post received KUDOS
jsphcal wrote: In a certain twodigit integer, the ratio of the units digit to the tens digit is 2 to 3. What is the integer?
(1) The tens digit is 3 more than the units digit.
(2) The product of the two digits is 54. The possible integers are 32, 64 and 96. 1) 32 = 1, 64 = 2, 96 = 3. Only 96 satisfies the statement. Sufficient. 2) 3*2 = 6, 6*4 = 24, 9*6 = 54. Only 96 satisfies the statement. Sufficient. Answer is hence D.
_________________
Did you find this post helpful?... Please let me know through the Kudos button.
Thanks To The Almighty  My GMAT Debrief
GMAT Reading Comprehension: 7 Most Common Passage Types



Intern
Joined: 24 Mar 2014
Posts: 21

Re: In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
01 Jun 2014, 01:32
the two digits be 9 and 6 in that case "B" option would yield 54 so the digits can be 9 & 6 as well as 9 & 6



Intern
Joined: 28 May 2014
Posts: 16

Re: In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
02 Jun 2014, 00:28
Given:
units to tens = 2:3
Meaning it could be:
32 63 96
(It cannot be negative as the ratio given is positive.) Although we could say it's "6 and 9" it does not make sense as these numbers together make up a twodigit integer.
Leaving us with the numbers above.
The first statement gives us that the digit in the tens place is 3 times larger than the one in the units place. As we've already worked out the three possibilities, we can rule out 32 and 63.
Statement 1 is sufficient.
Statement two gives us the product between the two numbers that make up the integer. We can simply find that the products are, respectively, 6, 18 and 54.
54 matches 96(9*6). Statement 2 is therefore sufficient.
Hence, D.



Manager
Joined: 23 Jan 2013
Posts: 171
Concentration: Technology, Other
GMAT Date: 01142015
WE: Information Technology (Computer Software)

Re: In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
07 Jun 2014, 08:50
SaudKhan wrote: the two digits be 9 and 6 in that case "B" option would yield 54 so the digits can be 9 & 6 as well as 9 & 6 Why cant the two digits both be 9 and 6 ? I am still confused on this ... Option A will fail , but B will hold ? Can any one clarify this ....



Manager
Status: Please do not forget to give kudos if you like my post
Joined: 19 Sep 2008
Posts: 118
Location: United States (CA)

In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
18 Oct 2014, 12:07
U/T = 2/3, what is UT? From 1, T = U + 3 => we know that 3U = 2T that means U is multiple of 2 and T is multiple of 3. T => 9,6,3,3,6,9, negatives are not possible, when T=3 not possible, T=6 then U = 5 not possible, T=9 then U=6 and ratio is intact, UT = 96 in both cases. Sufficient. From 2, UT=54 and U/T=2/3 => \sqrt{T} = \sqrt{9x9} => T = +9 => if T = 9, U = 6 => Not possible ==> 96 ??? if T = +9, U = 6, =>UT = 96 yes ANSWER: D jsphcal wrote: In a certain twodigit integer, the ratio of the units digit to the tens digit is 2 to 3. What is the integer?
(1) The tens digit is 3 more than the units digit.
(2) The product of the two digits is 54.
_________________
Please Help with Kudos, if you like my post.



Manager
Status: Please do not forget to give kudos if you like my post
Joined: 19 Sep 2008
Posts: 118
Location: United States (CA)

Re: In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
18 Oct 2014, 12:11
Question is asking what is UT and not what is U*T. Test maker confuse you with giving you information that stick to your mind, like in st2. Watch this trap! U and T cannot be negative at all. So the UT can only be 96 in this case. SaudKhan wrote: the two digits be 9 and 6 in that case "B" option would yield 54 so the digits can be 9 & 6 as well as 9 & 6
_________________
Please Help with Kudos, if you like my post.



NonHuman User
Joined: 09 Sep 2013
Posts: 13816

Re: In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
06 Mar 2017, 03:48
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Manager
Joined: 10 Jun 2016
Posts: 52

Re: In a certain twodigit integer, the ratio of the units digit [#permalink]
Show Tags
17 Mar 2017, 11:13
Infer  Ratio u/t = 2/3 S1) t = u+3. T = 3,4,5,6,7,8,9 U = 0,1,2,3,4,5,6 I missed to use the information given 2/3. If we see the options only 6/9 ratio gives u/t as 2/3. So sufficient. S2) Product = 54 T = 0,1,2,3,4,5,6,7,8,9 U = 0,1,2,3,4,5,6,7,8,9 For product = 54 and ration 2/3 only option is 6 & 9. Sufficient
_________________
Thank You Very Much, CoolKl Success is the Journey from Knowing to Doing
A Kudo is a gesture, to express the effort helped. Thanks for your Kudos.




Re: In a certain twodigit integer, the ratio of the units digit
[#permalink]
17 Mar 2017, 11:13






