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M05-19

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M05-19  [#permalink]

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New post 15 Sep 2014, 23:25
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

58% (00:38) correct 42% (00:32) wrong based on 154 sessions

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Re M05-19  [#permalink]

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New post 15 Sep 2014, 23:25
Official Solution:


Statement (1) by itself is insufficient.

Statement (2) by itself is insufficient.

Statements (1) and (2) combined are insufficient. Positive and negative numbers do not work. For example,

\(\frac{-5}{10}\) and \(\frac{2}{-4}\) or

\(\frac{5}{10}\) and \(\frac{2}{-4}\)


Answer: E
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Re: M05-19  [#permalink]

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New post 15 Jul 2015, 17:27
Bunuel wrote:
Official Solution:


Statement (1) by itself is insufficient.

Statement (2) by itself is insufficient.

Statements (1) and (2) combined are insufficient. Positive and negative numbers do not work. For example,

\(\frac{-5}{10}\) and \(\frac{2}{-4}\) or

\(\frac{5}{10}\) and \(\frac{2}{-4}\)


Answer: E



(1) can be written as T/S < 1 and (2) can be written as F/G >1
obviously F/G > T/ S. Hence C should be the correct answer rite?? Please explain
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Re: M05-19  [#permalink]

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New post 16 Jul 2015, 00:13
3
shanti47 wrote:
Bunuel wrote:
Official Solution:


Statement (1) by itself is insufficient.

Statement (2) by itself is insufficient.

Statements (1) and (2) combined are insufficient. Positive and negative numbers do not work. For example,

\(\frac{-5}{10}\) and \(\frac{2}{-4}\) or

\(\frac{5}{10}\) and \(\frac{2}{-4}\)


Answer: E



(1) can be written as T/S < 1 and (2) can be written as F/G >1
obviously F/G > T/ S. Hence C should be the correct answer rite?? Please explain


That's not correct.

T < S means T/S < 1 only if S is positive, if S is negative, then T/S > 1. The same for F < G.
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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.


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Re: M05-19  [#permalink]

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New post 01 Apr 2018, 02:50
Bunuel wrote:
Is \(\frac{T}{S} \gt \frac{F}{G}?\)


(1) \(T \lt S\)

(2) \(F \gt G\)


HI chetan2u, Bunuel,

Can't we modify question as TG > FS ?

Using 1 & 2 Gives us TG > FS?
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Re: M05-19  [#permalink]

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New post 01 Apr 2018, 03:35
NandishSS wrote:
Bunuel wrote:
Is \(\frac{T}{S} \gt \frac{F}{G}?\)


(1) \(T \lt S\)

(2) \(F \gt G\)


HI chetan2u, Bunuel,

Can't we modify question as TG > FS ?

Using 1 & 2 Gives us TG > FS?



No, that will not be ok..
You can cross Multiply only when you know all variables are POSITIVE..
Say 2/4 > 1/-2 does not mean 2*(-2)>1*4
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: M05-19  [#permalink]

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New post 02 Sep 2018, 22:41
Bunuel wrote:
shanti47 wrote:
Bunuel wrote:
Official Solution:


Statement (1) by itself is insufficient.

Statement (2) by itself is insufficient.

Statements (1) and (2) combined are insufficient. Positive and negative numbers do not work. For example,

\(\frac{-5}{10}\) and \(\frac{2}{-4}\) or

\(\frac{5}{10}\) and \(\frac{2}{-4}\)


Answer: E



(1) can be written as T/S < 1 and (2) can be written as F/G >1
obviously F/G > T/ S. Hence C should be the correct answer rite?? Please explain


That's not correct.

T < S means T/S < 1 only if S is positive, if S is negative, then T/S > 1. The same for F < G.




Can you please explain this. Still not clear
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Re: M05-19  [#permalink]

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New post 02 Sep 2018, 22:47
adi3993 wrote:
T < S means T/S < 1 only if S is positive, if S is negative, then T/S > 1. The same for F < G.




Can you please explain this. Still not clear[/quote]

We cannot multiply x/y < 1 by y and write x < y because we don't know the sign of y. If y is positive, then yes, from x/y < 1, we can get x < y (keep the sign when multiplying by positive value) but if y is negative, then when we multiply by negative value, we should flip the sign and we'll get x > y (recall that we should flip the sign of an inequality if we multiply/divide it by negative value)..

Never multiply (or reduce) an inequality by a variable (or the expression with a variable) if you don't know its sign.

9. Inequalities




For more check Ultimate GMAT Quantitative Megathread


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New to the Math Forum?
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.


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Re: M05-19 &nbs [#permalink] 02 Sep 2018, 22:47
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