The question is x/3+3/x>2 or x^2 + 9 > 6x or x^2 - 6x + 9 = 0 or (x - 3)^2 > 0 or is x > 3?
(1) says x < 3 so x cannot be greater than 3. So the answer to the main question is No.
(1) is SUFFICIENT.
(2) x > 1 does not imply positively that x > 3 also. x may or may not be greater than 3. So, (2) is NOT SUFFICIENT.
The correct answer is (A).
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Please confirm the OA
Source: Beat The GMAT — Data Sufficiency |
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
I believe that OA is C.ssgmatter wrote:Is
x/3+3/x>2?
(1) x < 3
(2) x > 1
I think OA is B in this case.Please confirm
a + 1/a >=2 for all positive a.
here a = x/3. so for all positive values of x/3 the statement holds true.
Let us put values and see.. clearly A is not answer.. because if x is -ve value, x/3+3/x will never be >2
So A, D are out.
if x>1, then x=3 will give value 2. and x=2 will give value greater than 2.
So B is also Out.
I belive answer should be C.
For any value between 1 and 3 it satisfies the equation..
Last edited by kvcpk on Wed Jun 23, 2010 10:57 pm, edited 1 time in total.
OA given is CRahul@gurome wrote:The question is x/3+3/x>2 or x^2 + 9 > 6x or x^2 - 6x + 9 = 0 or (x - 3)^2 > 0 or is x > 3?
(1) says x < 3 so x cannot be greater than 3. So the answer to the main question is No.
(1) is SUFFICIENT.
(2) x > 1 does not imply positively that x > 3 also. x may or may not be greater than 3. So, (2) is NOT SUFFICIENT.
The correct answer is (A).
But I still think it should be B.
I approach this question by taking values
STMT 1. x<3....check the inequality using values of x<3 Insufficient
stmt2...Take any value of x>1 and the given inequality is satisfied....please check at your end...Sufficient
So B
Best-
Amit
Amit
Hi ssgmatter,ssgmatter wrote: But I still think it should be B.
I approach this question by taking values
STMT 1. x<3....check the inequality using values of x<3 Insufficient
stmt2...Take any value of x>1 and the given inequality is satisfied....please check at your end...Sufficient
So B
Try taking value x=3
Thankyou Man for highlighting thatkvcpk wrote:Hi ssgmatter,ssgmatter wrote: But I still think it should be B.
I approach this question by taking values
STMT 1. x<3....check the inequality using values of x<3 Insufficient
stmt2...Take any value of x>1 and the given inequality is satisfied....please check at your end...Sufficient
So B
Try taking value x=3
That is called doing questions in hurry and missing out like this
Yes the OA is C now.....I am done with this
Best-
Amit
Amit
(1) x < 3ssgmatter wrote:Is
x/3+3/x>2?
(1) x < 3
(2) x > 1
I think OA is B in this case.Please confirm
when x = 1, x/3+3/x = (1/3 + 3 ) > 2, YES
when x = -1, x/3+3/x = (-1/3 - 3 ) = - (1/3 + 3 ) > 2 , NO
So, St 1 -- Not sufficient
(2) x > 1
when x=3, x/3+3/x = 2 > 2 , NO
When x = 9 , x/3+3/x = 3 + 1/3 > 2 , YES
So, St 2 -- Not sufficient
Taken together, all values of x b/w 1 and 3 satisfy the inequality. Hence -- C
I am on a break !!
Right, the OA is (C). Statement (1) also is NOT SUFFICIENT, thanks for pointing that out.
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
C is correct
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