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For positive integers n and m, is m! < 3n ? (1) n = m (2) n > 3

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Bunuel
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For positive integers n and m, is m! < 3n ? (1) n = m (2) n > 3 [#permalink] New post   02 May 2021, 09:00
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A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

76% (01:13) correct 24% (01:11) wrong based on 78 sessions
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For positive integers n and m, is m! < 3n ?

(1) n = m
(2) n > 3
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C
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ManyataM
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Re: For positive integers n and m, is m! < 3n ? (1) n = m (2) n > 3 [#permalink] New post   02 May 2021, 09:26
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Bunuel wrote:
For positive integers n and m, is m! < 3n ?

(1) n = m
(2) n > 3


IMO the answer is Option C

State 1 : lets take n=m=2 so, 3*2>2! its a yes
if we take n=m=4 , 3*4> 4! , 12>24 its a no.... Therefore insufficient

State 2: n>3.. no information about m .. insufficient

Combining both,
m=n= 4 for ex, 12>24 ..no
or n=m=5 , 3*5>5!... no

Hence by combining we get a definite answer
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TarunKumar1234
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Re: For positive integers n and m, is m! < 3n ? (1) n = m (2) n > 3 [#permalink] New post   02 May 2021, 14:08
For positive integers n and m, is m! < 3n ?

Stat1: n = m
for m= 2, n= 2, m! < 3n, but for m= 4 =n, m! > 3n. Not sufficient

Stat2: n > 3
We don't have any idea of m. Not sufficient

Combining both, m= 4=n, m! > 3n and so forth. Sufficient

So, I think C. :)
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rvgmat12
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Re: For positive integers n and m, is m! < 3n ? (1) n = m (2) n > 3 [#permalink] New post   03 Mar 2022, 00:04
Bunuel

Answer must be E

1+2
n=m=4 Yes
n=m=7 No
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Bunuel
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Re: For positive integers n and m, is m! < 3n ? (1) n = m (2) n > 3 [#permalink] New post   03 Mar 2022, 01:32
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rvgmat12 wrote:
Bunuel

Answer must be E

1+2
n=m=4 Yes
n=m=7 No


Both those values give an No answer to the question. E is the answer to the similar question: https://gmatclub.com/forum/for-positive ... l#p2791471

Hope it helps.
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gmatclubot
Re: For positive integers n and m, is m! < 3n ? (1) n = m (2) n > 3 [#permalink]
03 Mar 2022, 01:32
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Bunuel
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