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Math Expert V
Joined: 02 Sep 2009
Posts: 60727
For integers m, how many positive perfect cubes would be less than m?  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 56% (01:47) correct 44% (01:56) wrong based on 31 sessions

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For integers m, how many positive perfect cubes would be less than m?

(1) 4 < m^2 < 400

(2) 31 < m < 65

Are You Up For the Challenge: 700 Level Questions

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Math Expert V
Joined: 02 Aug 2009
Posts: 8327
Re: For integers m, how many positive perfect cubes would be less than m?  [#permalink]

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1
1
For integers m, how many positive perfect cubes would be less than m?

(1) 4 < m^2 < 400
So 2<m<20.....
If m is 8, then only 1
If m is 9, then 1 and 8, so 2
Insufficient

(2) 31 < m < 65
Now there is only one perfect cube 64, and m is at the max 64, so the positive perfect cubes less than m will always be the SAME as positive perfect cube less than 31.
So irrespective of value of m , the answer is 1, 9, 27— 3 integers
Sufficient

B
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Re: For integers m, how many positive perfect cubes would be less than m?  [#permalink]

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Bunuel wrote:
For integers m, how many positive perfect cubes would be less than m?

(1) 4 < m^2 < 400

(2) 31 < m < 65

Are You Up For the Challenge: 700 Level Questions

#1
4 < m^2 < 400
2<m<20
m= 8 we get only 1 cube i.e 2
if m = 9 then we have cube ; 8,27,64
insufficient
#2
31<m<65
only 64 possible
IMO B Re: For integers m, how many positive perfect cubes would be less than m?   [#permalink] 07 Nov 2019, 12:17
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# For integers m, how many positive perfect cubes would be less than m?  