Lone Wolf

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 38
Joined: Sun May 04, 2008 12:23 am
Location: India
Thanked: 1 times

Lone Wolf

by greatchap » Wed Sep 22, 2010 11:43 pm
Hi Guys,

I was going thru Math tips and came across the following :

1. The Lone Wolf

A lone wolf question almost always has a free standing number(or numbers), and a more complex looking equation as the other option. For e.g.

"On a loan, evil necromonger charges X% interest in the first year, and Y% interest in the second. If he loaned Rhyme 20,000$ in 2006, how much Rhyme pay by interest in 2008?"

A) X = 10
B) (X + Y + XY/100) = 100

You can almost be certain, that in such questions, your equations to the stem will reduce to a form that looks like (B), so (A) is actually redundant. Be careful of lone wolves because they will bite you in the posterior if you choose (C).

If you notice a lone wolf question, and you have no clue on how to solve the problem, choose (B) (or whichever is the complex equation).

*as a side note, a wolf, contrary to the popular belief, is a very social mammal and is not at all a loner.

Why isnt the answer C here ? If we have X then only we can solve (B).

Another Query :

If the membership of the drama club and music club are combined, what % of the combined membership will be male?

(1) of the 16 members of the drama club 15 are male
(2) of the 20 members of the music club, 10 are male

I know answer iS (E) as its overlapping sets question. But imagine if they also said there are 5 members in both clubs
in any choice and if this was a PS ques then what would we do ?

Drama : 15 male - 5 male members = 10
Music : 10 male.

Total : 20 / 16+20 or 20/36 * 100. Am I correct ?

Help willbe appreciated.

thanks,

GR
Source: — Problem Solving |

User avatar
Senior | Next Rank: 100 Posts
Posts: 48
Joined: Sun May 30, 2010 12:35 am
Thanked: 1 times

by GMAT Hacker » Thu Sep 23, 2010 5:07 am
greatchap wrote:Hi Guys,

I was going thru Math tips and came across the following :

1. The Lone Wolf

A lone wolf question almost always has a free standing number(or numbers), and a more complex looking equation as the other option. For e.g.

"On a loan, evil necromonger charges X% interest in the first year, and Y% interest in the second. If he loaned Rhyme 20,000$ in 2006, how much Rhyme pay by interest in 2008?"

A) X = 10
B) (X + Y + XY/100) = 100

You can almost be certain, that in such questions, your equations to the stem will reduce to a form that looks like (B), so (A) is actually redundant. Be careful of lone wolves because they will bite you in the posterior if you choose (C).

If you notice a lone wolf question, and you have no clue on how to solve the problem, choose (B) (or whichever is the complex equation).

*as a side note, a wolf, contrary to the popular belief, is a very social mammal and is not at all a loner.

Why isnt the answer C here ? If we have X then only we can solve (B).


1. The Lone Wolf

Are you sure x+y+xy/100 = 100 ? I have bit doubt. As it is DS, no issues though.

The ans has to be 'B'. Here you go,

P = Prinicipal = 20,000
2007: Interest (I) = 20,000 * X/100 = 200X

Principle at the end of 2007 = 20000 + 200X


2008: I = 20,000 + 200 X (Y/100). This is conventional method.

For this problem, you can use the below method,

Principle at the end of 2008

= 20000 (1+x/100) (1+y/100)

= 20000 (1+ y/100 + x/100 + xy/10000) i.e multiply both

= 20000 (1+ 1/100 (x+ y+ xy/100)) i.e take out 1/100, which is common

= 20,000 (1+ 1/100(100)) as we know from Statement B, X + Y + XY/100) = 100

= 20000 (1+1)

= 40,000

Hence, Interest at the end of 2008 = 40,000 - 20,000 = 20,000 (very high rate :p).

Post back if you are unable to understand.

Senior | Next Rank: 100 Posts
Posts: 38
Joined: Sun May 04, 2008 12:23 am
Location: India
Thanked: 1 times

by greatchap » Thu Sep 23, 2010 7:29 am
I have some doublts buddy :

2008: I = 20,000 + 200 X (Y/100). This is conventional method. GOT IT

For this problem, you can use the below method,

Principle at the end of 2008

= 20000 (1+x/100) (1+y/100) - Why this and how did you get this ?

If such a ques came in exam how do we solve using conventional method ?

User avatar
Legendary Member
Posts: 866
Joined: Mon Aug 02, 2010 6:46 pm
Location: Gwalior, India
Thanked: 31 times

by goyalsau » Thu Sep 23, 2010 8:38 am
greatchap wrote:I have some doublts buddy :

2008: I = 20,000 + 200 X (Y/100). This is conventional method. GOT IT

For this problem, you can use the below method,

Principle at the end of 2008

= 20000 (1+x/100) (1+y/100) - Why this and how did you get this ?

If such a ques came in exam how do we solve using conventional method ?
I know i am interfering... Hope you don't mind

As i understand you got it till

2008: I = 20,000 + 200 X (Y/100).

This is same as = 20000 (1+x/100) (1+y/100)

This is the interest after one year - 20,000 + 200 X

take 20,000 common from the above equation - 20,000 ( 1 + X/100 ) = Z

We assume this value as Z then

the interest after one year will be - Z Y/100

total amount will be = Z + Z Y /100

take Z common from the above equation Z ( 1 + Y/100 )

now substitute the value of Z

20,000 ( 1 + X/100 )( 1 + Y/100 )------ This is required equation.


Hope this helps.

User avatar
Legendary Member
Posts: 866
Joined: Mon Aug 02, 2010 6:46 pm
Location: Gwalior, India
Thanked: 31 times

by goyalsau » Thu Sep 23, 2010 8:42 am
greatchap wrote:
"On a loan, evil necromonger charges X% interest in the first year, and Y% interest in the second. If he loaned Rhyme 20,000$ in 2006, how much Rhyme pay by interest in 2008?"

A) X = 10
B) (X + Y + XY/100) = 100

Another Query :

If the membership of the drama club and music club are combined, what % of the combined membership will be male?

(1) of the 16 members of the drama club 15 are male
(2) of the 20 members of the music club, 10 are male

I know answer iS (E) as its overlapping sets question. But imagine if they also said there are 5 members in both clubs
in any choice and if this was a PS ques then what would we do ?

Drama : 15 male - 5 male members = 10
Music : 10 male.

Total : 20 / 16+20 or 20/36 * 100. Am I correct ?

Help willbe appreciated.

thanks,

GR
Thanks for posting such a tricky question.
i would have definitely marked C if i have not seen your post..

I am in doubt with the second problem I am not able to understand the concept...
can you describe it in detail...

Senior | Next Rank: 100 Posts
Posts: 38
Joined: Sun May 04, 2008 12:23 am
Location: India
Thanked: 1 times

by greatchap » Fri Sep 24, 2010 7:29 am
Ya its a trick question, will have a tough time solving it in exam. can anyone solve the second one.