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John and Mary and their Financials

Expert replies
by bhumika.k.shah » Wed Feb 03, 2010 9:56 am
John and Mary own stock in a certain company. Does John own more shares than Mary?

S1: Mary owns more than 500 shares of the company's stock.
S2: The number of shares of the company's stock that John owns is 400 less than twice the number of shares of the company's stock that Mary owns.

??? i know this is a Y/N kind of question ... but still combing two statements won't give us a definite answer right ????
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Source: — Data Sufficiency |

by ajith » Wed Feb 03, 2010 10:00 am
bhumika.k.shah wrote:John and Mary own stock in a certain company. Does John own more shares than Mary?

S1: Mary owns more than 500 shares of the company's stock.
S2: The number of shares of the company's stock that John owns is 400 less than twice the number of shares of the company's stock that Mary owns.

??? i know this is a Y/N kind of question ... but still combing two statements won't give us a definite answer right ????
Say m is the no of shares Mary owns and j is the number of shares John owns

1) m = 500 , Insuff
2) j = 2m -400, insuff

combining j = 2*500 -400 = 600

j>m

Sufficient, C for me
Always borrow money from a pessimist, he doesn't expect to be paid back.
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by thephoenix » Wed Feb 03, 2010 10:03 am
s1)m>500 insuff
s2)j=2m-400 insuff

combining we dnt knw marry owns how much its >500 it can b anything

hence E
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by ajith » Wed Feb 03, 2010 10:08 am
thephoenix wrote:s1)m>500 insuff
s2)j=2m-400 insuff

combining we dnt knw marry owns how much its >500 it can b anything

hence E
Ooops! I have to start reading the questions.. Sorry for the wrong solution

But, having said that, I think C is the answer

for a value of m greater than 500, m<2m-400

at m =500 j=600

at m =1000 j = 1600

so m is always less than j; just about enough to prove that C is the answer
Always borrow money from a pessimist, he doesn't expect to be paid back.
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by thephoenix » Wed Feb 03, 2010 10:18 am
ajith wrote:
thephoenix wrote:s1)m>500 insuff
s2)j=2m-400 insuff

combining we dnt knw marry owns how much its >500 it can b anything

hence E
Ooops! I have to start reading the questions.. Sorry for the wrong solution

But, having said that, I think C is the answer

for a value of m greater than 500, m<2m-400

at m =500 j=600

at m =1000 j = 1600

so m is always less than j; just about enough to prove that C is the answer
thanks it sud be c
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by bhumika.k.shah » Wed Feb 03, 2010 8:26 pm
Any way i can try proving that m>2m-400 ????

If i take 501 shares then ????

Is it possible???
ajith wrote:
thephoenix wrote:s1)m>500 insuff
s2)j=2m-400 insuff

combining we dnt knw marry owns how much its >500 it can b anything

hence E
Ooops! I have to start reading the questions.. Sorry for the wrong solution

But, having said that, I think C is the answer

for a value of m greater than 500, m<2m-400

at m =500 j=600

at m =1000 j = 1600

so m is always less than j; just about enough to prove that C is the answer
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by bhumika.k.shah » Wed Feb 03, 2010 8:26 pm
OA C
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by ajith » Wed Feb 03, 2010 9:17 pm
bhumika.k.shah wrote:Any way i can try proving that m>2m-400 ????

If i take 501 shares then ????

Is it possible???
if

m> 2m-400

2m-400<m

2m<m+400

m<400

so for m<400; m> 2m-400

but we already know m>500 and hence m<2m-400; hope that is clear
Always borrow money from a pessimist, he doesn't expect to be paid back.
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by bhumika.k.shah » Wed Feb 03, 2010 9:31 pm
Yes.All clear.

Bsically whatever is the value of J it will always be greater than M . right???
ajith wrote:
bhumika.k.shah wrote:Any way i can try proving that m>2m-400 ????

If i take 501 shares then ????

Is it possible???
if

m> 2m-400

2m-400<m

2m<m+400

m<400

so for m<400; m> 2m-400

but we already know m>500 and hence m<2m-400; hope that is clear
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by ajith » Wed Feb 03, 2010 9:33 pm
bhumika.k.shah wrote:Yes.All clear.

Bsically whatever is the value of J it will always be greater than M . right???
Absolutely - under the given conditions, if we combine 1&2, j will always be greater than m
Always borrow money from a pessimist, he doesn't expect to be paid back.
Join the discussion

by sanju09 » Thu Feb 04, 2010 2:21 am
bhumika.k.shah wrote:John and Mary own stock in a certain company. Does John own more shares than Mary?

S1: Mary owns more than 500 shares of the company's stock.
S2: The number of shares of the company's stock that John owns is 400 less than twice the number of shares of the company's stock that Mary owns.

??? i know this is a Y/N kind of question ... but still combing two statements won't give us a definite answer right ????
Blending (1) and (2) is a must here to try an answer to the comparison.

If I have killed more than 5 lions of this jungle, and you have killed more than 6 lions of the same jungle; then absolutely no one on earth would be able to decide on which of us is a bigger hunter unless the total lion population in the jungle before we two entered into the game is known to be exactly 13, and it is also that all those 13 were killed by we two people only. And then they would say that you were the better huntsman. But, if I have killed more than 5 lions of this jungle, and you have killed 6 or more lions of the same jungle; and the total lion population in the jungle before we two entered into the game is known to be exactly 13, and it is also that all those 13 were killed by we two people only...then? Crown in Cloud!!

Same is the case here in your problem. If John and Mary respectively own J and M number of the company's share, then

(1) M > 500 or 2 M ≥ 1002 blended with (2) J = 2 M - 400 or J ≥ 602 needs more relevant information to avoid [spoiler]E[/spoiler].
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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by ajith » Thu Feb 04, 2010 2:25 am
sanju09 wrote: (1) M > 500 or 2 M ≥ 1002 blended with (2) J = 2 M - 400 or J ≥ 602 needs more relevant information to avoid [spoiler]E[/spoiler].
I think, it is just about enough information to conclude that the answer is C. I did not understand your statement, to be honest
Always borrow money from a pessimist, he doesn't expect to be paid back.
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by bhumika.k.shah » Thu Feb 04, 2010 5:25 am
So are u tryna say that the answer according to you is E ???

ajith and I are both confused
sanju09 wrote:
bhumika.k.shah wrote:John and Mary own stock in a certain company. Does John own more shares than Mary?

S1: Mary owns more than 500 shares of the company's stock.
S2: The number of shares of the company's stock that John owns is 400 less than twice the number of shares of the company's stock that Mary owns.

??? i know this is a Y/N kind of question ... but still combing two statements won't give us a definite answer right ????
Blending (1) and (2) is a must here to try an answer to the comparison.

If I have killed more than 5 lions of this jungle, and you have killed more than 6 lions of the same jungle; then absolutely no one on earth would be able to decide on which of us is a bigger hunter unless the total lion population in the jungle before we two entered into the game is known to be exactly 13, and it is also that all those 13 were killed by we two people only. And then they would say that you were the better huntsman. But, if I have killed more than 5 lions of this jungle, and you have killed 6 or more lions of the same jungle; and the total lion population in the jungle before we two entered into the game is known to be exactly 13, and it is also that all those 13 were killed by we two people only...then? Crown in Cloud!!

Same is the case here in your problem. If John and Mary respectively own J and M number of the company's share, then

(1) M > 500 or 2 M ≥ 1002 blended with (2) J = 2 M - 400 or J ≥ 602 needs more relevant information to avoid [spoiler]E[/spoiler].
:? :? :? :? :?
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by sanju09 » Thu Feb 04, 2010 6:18 am
So are u tryna say that the answer according to you is E ???

ajith and I are both confused


sorry crony, running short of time right now, can't check my post again, see you on our subsequent meet, till then...

IMO [spoiler]E[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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by ajith » Thu Feb 04, 2010 6:23 am
sanju09 wrote:
So are u tryna say that the answer according to you is E ???

ajith and I are both confused


sorry crony, running short of time right now, can't check my post again, see you on our subsequent meet, till then...

IMO [spoiler]E[/spoiler]
Do check and let us know
Always borrow money from a pessimist, he doesn't expect to be paid back.
Join the discussion