If a 0 and b 0, is a/b b/a ?

Question

If a > 0 and b > 0, is a/b > b/a ?

(1) a = b - 2
(2) a/(4b) =1/5

msk0657 · Answer

a and b can be 0.5,1,2,3....

1) a = b - 2

when 3 = 5 - 2...here a = 3 and b = 5 , then 3/5 < 5/3...Sufficient.

if a = 8 and b = 10
 8 = 10 -2... then 8/10 < 10/8...Sufficient..

2 ) a/b = 4/5 and b/a = 5/4.
a/b < b/a.. Sufficient..

IMO D is correct answer...

OA please...will correct if I missed anything..

hsambiguity · Answer

If a > 0 and b > 0, is a/b > b/a ?

(1) a = b - 2

Which means b=a+2. 
Substituting values, we have to find if if a/(a+2) > (a+2)/a
Given that a>0. 
Hence,  Sufficient

(2) a/(4b) =1/5

This means, a/b = 4/5
We have to find, if 4/5 > 5/4
Hence,  sufficient.

I believe correct answer is  D

Balajikarthick1990 · Answer

I concur.My take is D.

statement 1: Since a and b are positive, min value of b > 2.

Statement 2: Rearrangement makes the equation (a/b) = 4/5 so (b/a) = 5/4.

BrentGMATPrepNow · Answer

Target question : Is a/b > b/a ? Given : a > 0 and b > 0 This is a great candidate for REPHRASING the target question: Is a/b > b/a ? Since a and b are both POSITIVE, we can multiply both sides of the inequality by ab to get: Is a² > b²? Nice Rules : If 0 < b < a, then and b² < a² Conversely, if a and b are positive AND b² < a², then we can be certain that b < a This allows us to REPHRASE our target question once more to get... REPHRASED target question : Is b < a? Once we're rephrased the target question like this, the statements are pretty easy to analyze. Statement 1 : a = b - 2 In other words, a is 2 less than b So, we can be certain that a < b In other words, it is definitely NOT the case that b < a Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT Statement 2 : a/(4b) =1/5 Multiply both sides by 4b to get: a = (4/5)b In other words, a is equal to 4/5 of b Since it's given that a and b are positive, we can be certain that a < b In other words, it is definitely NOT the case that b < a Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT Answer: D RELATED VIDEOS https://www.youtube.com/watch?v=MyG1K3ee69w https://www.youtube.com/watch?v=Od98BOicIq4

AbhiJ · Answer

Think Stmt 1 and Stmt 2 are contradicting each other a/b >1 in Stmt 1 and a/b < 1 in Stmt 2.

Bunuel · Answer

For both a < b. How did you get that a > b for (1)? It says a = b - 2, so a < b.

Madhavi1990 · Answer

I tried with fractions and integers-- the question doesn't expressly say its not an integer.
1) St 1; if with integers, a = 8, b = 10 - 2 --> 8/10 < 5/4 A is suff, with a = 1/4 , b = 9/4 A suff
2) a = 4/5 b, which is suff for both integers and fractions

Ans D

ScottTargetTestPrep · Answer

Solution:
 
Since both a and b are positive, a/b is greater than b/a if a > b and a/b is not greater than b/a if a ≤ b.

Statement One Only:
 
a = b - 2

Since a = b - 2, then a < b and therefore, a/b is not greater than b/a. Statement one alone is sufficient.

Statement Two Only:
 
a/(4b) = 1/5

Simplifying, we have a = 4b/5. Since both a and b are positive, this means a < b, and therefore, a/b is not greater than b/a. Statement two alone is sufficient.

Answer: D

If a > 0 and b > 0, is a/b > b/a ?

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GMAT Data Sufficiency (DS) Questions

If a > 0 and b > 0, is a/b > b/a ?

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