Author 
Message 
TAGS:

Hide Tags

Director
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 563
Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)

If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
24 Jun 2017, 02:49
2
This post received KUDOS
13
This post was BOOKMARKED
Question Stats:
67% (01:14) correct 33% (01:14) wrong based on 562 sessions
HideShow timer Statistics
If r and t are threedigit positive integers, is r greater than t ? (1) The tens digit of r is greater than each of the three digits of t . (2) The tens digit of r is less than either of the other two digits of r .
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Md. Abdur Rakib
Please Press +1 Kudos,If it helps Sentence CorrectionCollection of Ron Purewal's "elliptical construction/analogies" for SC Challenges



Math Expert
Joined: 02 Sep 2009
Posts: 43804

If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
24 Jun 2017, 06:07
3
This post received KUDOS
Expert's post
1
This post was BOOKMARKED



Intern
Joined: 08 Dec 2016
Posts: 41

Re: If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
28 Jun 2017, 06:32
2
This post received KUDOS
Visualise the number in this way: r = xyz t = ktm
1  y>k nothing said about x. insuff 2  y<x nothing said about k 1&2 k<y<x > k<x > r>t sufficient



Intern
Joined: 27 May 2016
Posts: 3
Location: India
Concentration: Strategy, Technology
GPA: 3.33

Re: If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
29 Jun 2017, 22:59
Why is C correct? Why are we taking "either of the other two digits" as each of the other two digits?
Doesn't either of the two means either y<x or y<z( for r=xyz), and not y<x and y<z?



Math Expert
Joined: 02 Sep 2009
Posts: 43804

Re: If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
29 Jun 2017, 23:12



Intern
Joined: 04 Jun 2017
Posts: 8
Location: United Kingdom
GMAT 1: 710 Q48 V40 GMAT 2: 720 Q47 V44
GPA: 3.85

If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
02 Jul 2017, 06:59
If R = 100a + 10b + c, and T = 100d + 10e + f, then From the 1st statement it follows that b>d, b>e, and b>f, however a and c are not given  NS From the 2nd statement: a > b, and c > b, hence a > d, e, f and c > d, e, f but b is not given  NS From both statements: 100a+10b+c > 100d + 10e + f



Manager
Joined: 03 May 2014
Posts: 166
Location: India
WE: Sales (Mutual Funds and Brokerage)

Re: If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
24 Jul 2017, 09:51
Use nos
Statement 1 let Digit r=x9y and digit t=888 so X could be 9 or 7 or some other no hence not sufficient Statement 2 10's digit is less than either of the 2 digits of R eg 656 or 746 hence not sufficient
combined
eg r=898 and t=888 hence r>t and both statements together are sufficient.



Intern
Joined: 05 Sep 2016
Posts: 9

Re: If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
06 Nov 2017, 01:35
I have a question:
If both r and t are 3digits numbers, it means that they are >= 100 (at least 100). So, if the tens digit of r is greater than each of t's digits, that means that the tens digit of r is at least 2 (since the smallest 3digit number is 100). If this case, r is at least 12X and t is at least 100. So why isn't statement 1 sufficient?



Math Expert
Joined: 02 Aug 2009
Posts: 5649

Re: If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
06 Nov 2017, 01:57
Mike2805 wrote: I have a question:
If both r and t are 3digits numbers, it means that they are >= 100 (at least 100). So, if the tens digit of r is greater than each of t's digits, that means that the tens digit of r is at least 2 (since the smallest 3digit number is 100). If this case, r is at least 12X and t is at least 100. So why isn't statement 1 sufficient? hi.. the statement should give yes clear answer to is r>t? lets see.. t = 345, r can be 786 so r>t t=345, r can be 286 now r<t so different answers possible insyff
_________________
Absolute modulus :http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
BANGALORE/



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2179
Location: United States (CA)

Re: If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
17 Nov 2017, 11:34
AbdurRakib wrote: If r and t are threedigit positive integers, is r greater than t ?
(1) The tens digit of r is greater than each of the three digits of t .
(2) The tens digit of r is less than either of the other two digits of r . We are given that r and t are threedigit positive integers and need to determine whether r is greater than t. Statement One Alone: The tens digit of r is greater than each of the three digits of t. Statement one alone is not sufficient to answer the question. For example, if r = 190 and t = 180, then r is greater than t; however, if r = 190 and t = 210, then r is less than t. Statement Two Alone: The tens digit of r is less than either of the other two digits of r. Since we know nothing about t, statement two alone is not sufficient to answer the question. Statements One and Two Together: Using statements one and two, we see that the tens digit of r is greater than each of the three digits of t and that the tens digit of r is less than either of the other two digits of r. Thus, we can say that all digits of r must be greater than all digits of t, so we can say that r is greater than t. Answer: C
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11025
Location: United States (CA)
GRE 1: 340 Q170 V170

Re: If r and t are threedigit positive integers, is r greater than t ? [#permalink]
Show Tags
19 Nov 2017, 12:50
Hi All, We're told that R and T are both threedigit positive integers. We're asked if R is greater than T. This is a YES/NO question. We can solve it by TESTing VALUES. 1) The TENS digit of R is greater than each of the three digits of T. IF.... R = 191 and T = 111, then the answer to the question is YES. R = 191 and T = 888, then the answer to the question is NO. Fact 1 is INSUFFICIENT 2) The TENS digit of R is less than either of the other two digits of R. Fact 2 tells us NOTHING about the value of T, so there's no way to determine whether R is greater than T or not. Fact 2 is INSUFFICIENT Combined, we know: The TENS digit of R is greater than each of the three digits of T. The TENS digit of R is less than either of the other two digits of R. With Fact 1, we know that the TENS digit of R is greater than all 3 digits in T, but we had no way to compare the HUNDREDS digits of R and T (so we didn't know which number was bigger). With the information in Fact 2 though, we know that the TENS digit of R is LESS than the HUNDREDS digit of R. Thus, we can create the following inequality: (Hundreds digit of R) > (Tens digit of R) > (ANY digit in T) eg. R = 870 and T = 512 Since the HUNDREDS digit of R is greater than EACH digit in T (including the HUNDREDS digit of T), R will ALWAYS be greater than T. Combined, SUFFICIENT Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************




Re: If r and t are threedigit positive integers, is r greater than t ?
[#permalink]
19 Nov 2017, 12:50






