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

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

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New post 01 Jan 2018, 09:41
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:27) correct 29% (01:22) wrong based on 46 sessions

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Intern
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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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New post 01 Jan 2018, 18:53
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

Therefore C is the answer --> EACH Statement ALONE is sufficient to answer the question asked.
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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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New post 03 Jan 2018, 10:09
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.

Hence D answer
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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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New post 03 Jan 2018, 10:10
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

Therefore C is the answer --> EACH Statement ALONE is sufficient to answer the question asked.


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.
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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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New post 03 Jan 2018, 19:32
Haha.. My bad.. :D That was a typo
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Re: Is it true that x > y? (1) The average (arithmetic mean) of x and 10 &nbs [#permalink] 03 Jan 2018, 19:32
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Is it true that x > y? (1) The average (arithmetic mean) of x and 10

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