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Bunuel
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Is x < y ? (1) 3^x < 2^y (2) x > 0 and y > 0 31 Mar 2023, 06:45
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

62% (01:44) correct 38% (01:44) wrong based on 106 sessions

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Is \(x<y\)?

(1) \(3^x<2^y\)

(2) \(x>0\) and \(y>0\)
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C
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Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
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Is x < y ? (1) 3^x < 2^y (2) x > 0 and y > 0 31 Mar 2023, 07:00
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Bunuel
Is \(x<y\)?

(1) \(3^x<2^y\)

(2) \(x>0\) and \(y>0\)
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Attachment:
Screenshot 2023-03-31 at 7.28.59 PM.png
Screenshot 2023-03-31 at 7.28.59 PM.png [ 893 KiB | Viewed 1783 times ]
Answer: Option C

Step-by-Step Video solution by GMATinsight

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Is x < y ? (1) 3^x < 2^y (2) x > 0 and y > 0 02 Apr 2023, 03:31
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What about if I choose x=4 and y=5
I have a result of : 3^4= 81 and 2^5 = 32

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piyushnakhate
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Is x < y ? (1) 3^x < 2^y (2) x > 0 and y > 0 30 Jun 2024, 05:18
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Bunuel
Is \(x<y\)?

(1) \(3^x<2^y\)

(2) \(x>0\) and \(y>0\)
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­I think answer should be E, 

how?

if x=2, y=3

9<8 makes option A insufficient too
 
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Is x < y ? (1) 3^x < 2^y (2) x > 0 and y > 0 30 Jun 2024, 07:56
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piyushnakhate

Bunuel
Is \(x<y\)?

(1) \(3^x<2^y\)

(2) \(x>0\) and \(y>0\)
­I think answer should be E, 

how?

if x=2, y=3

9<8 makes option A insufficient too

 
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­
That's the case giving a YES answer. Can you come up with an example giving a NO answer? So, when x >= y.
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Is x < y ? (1) 3^x < 2^y (2) x > 0 and y > 0 30 Jun 2024, 10:01
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Is \(x<y\)?

(1) \(3^x<2^y\)
This means that x ≠ y
Example: x = y = 0
=> \(3^0<2^0\) = 1 < 1
which is not possible. 

Now, x = 1, y = 2
\(3^1<2^2\) YES

x = -2, y = -3
\(3^-2<2^-3\) NO

INSUFFICIENT.

(2) \(x>0\) and \(y>0\)
x = 1, y = 0, NO
x = 1, y = 2, YES

INSUFFICIENT.

Together 1 and 2
Only case left is x and y both being positive and with statement 1 condition only x < y satisfies it.

Answer C.
 
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