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# Is it true that x > y? (1) The average (arithmetic mean) of x and 10

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Joined: 02 Sep 2009
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Is it true that x > y? (1) The average (arithmetic mean) of x and 10  [#permalink]

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01 Jan 2018, 10:41
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Difficulty:

25% (medium)

Question Stats:

74% (01:34) correct 26% (01:22) wrong based on 49 sessions

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Is it true that x > y?

(1) The average (arithmetic mean) of x and 10 is greater than the average of y and 10.
(2) x^3 is greater than y^3.

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Joined: 28 May 2017
Posts: 9
Location: India
Concentration: Finance, General Management
GPA: 3.85
WE: Programming (Computer Software)
Re: Is it true that x > y? (1) The average (arithmetic mean) of x and 10  [#permalink]

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01 Jan 2018, 19:53
1) The Average of X and 10 is greater than Y and 10.
For Example. Substitute X = 6 and Y = 4 --> 1 is sufficient.

2) X^3 > Y^3
For Example, Substitute X=3 and Y = 2 --> 27>8
Substitute X = -2 and Y = -3 ---> -8> -27 ---> 2 is sufficient

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Re: Is it true that x > y? (1) The average (arithmetic mean) of x and 10  [#permalink]

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03 Jan 2018, 11:09
Bunuel wrote:
Is it true that x > y?

(1) The average (arithmetic mean) of x and 10 is greater than the average of y and 10.
(2) x^3 is greater than y^3.

(1) (x + 10)/2 > (y+10)/2 OR x + 10 > y + 10 (multiplying with 2 both sides)
OR x > y (cancelling 10 from both sides).
Sufficient.

(2) x^3 > y^3
Since these are odd powers, this can only happen when x > y. Sufficient.

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Re: Is it true that x > y? (1) The average (arithmetic mean) of x and 10  [#permalink]

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03 Jan 2018, 11:10
cksidharthan wrote:
1) The Average of X and 10 is greater than Y and 10.
For Example. Substitute X = 6 and Y = 4 --> 1 is sufficient.

2) X^3 > Y^3
For Example, Substitute X=3 and Y = 2 --> 27>8
Substitute X = -2 and Y = -3 ---> -8> -27 ---> 2 is sufficient

Hi

You are correct that each statement alone is sufficient to answer the question. But when thats the case, we mark our answer as D.
Intern
Joined: 28 May 2017
Posts: 9
Location: India
Concentration: Finance, General Management
GPA: 3.85
WE: Programming (Computer Software)
Re: Is it true that x > y? (1) The average (arithmetic mean) of x and 10  [#permalink]

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03 Jan 2018, 20:32
Haha.. My bad.. :D That was a typo
Re: Is it true that x > y? (1) The average (arithmetic mean) of x and 10   [#permalink] 03 Jan 2018, 20:32
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