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# If x and y are positive integers and x^3 + y^3 < 1000, then the greate

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Senior Manager
Joined: 22 Feb 2018
Posts: 419
If x and y are positive integers and x^3 + y^3 < 1000, then the greate  [#permalink]

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22 Feb 2019, 06:02
00:00

Difficulty:

25% (medium)

Question Stats:

78% (01:02) correct 22% (01:00) wrong based on 32 sessions

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If x and y are positive integers and x^3 + y^3 < 1000, then the greatest possible value of x is between

(A) 0 and 2
(B) 2 and 4
(C) 4 and 6
(D) 6 and 8
(E) 8 and 10

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Joined: 02 Sep 2009
Posts: 58464
Re: If x and y are positive integers and x^3 + y^3 < 1000, then the greate  [#permalink]

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22 Feb 2019, 07:19
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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3332
Location: India
GPA: 3.12
If x and y are positive integers and x^3 + y^3 < 1000, then the greate  [#permalink]

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22 Feb 2019, 07:20
Princ wrote:
If x and y are positive integers and x^3 + y^3 < 1000, then the greatest possible value of x is between

(A) 0 and 2
(B) 2 and 4
(C) 4 and 6
(D) 6 and 8
(E) 8 and 10

In order to find the greatest value of x, y must be minimum(smallest positive integer is 1)

Equation becomes x^3 < 999 when y = 1.
Since $$9^3 = 729$$ and $$10^3 = 1000$$, the maximum value that x can take is 9

Therefore, the greatest possible value os x is between 8 and 10(Option E)
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If x and y are positive integers and x^3 + y^3 < 1000, then the greate   [#permalink] 22 Feb 2019, 07:20
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