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# CR Drill

Author Message
GMAT Instructor
Joined: 07 Jul 2003
Posts: 769

Kudos [?]: 235 [0], given: 0

Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE

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09 Jul 2003, 14:48
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Please translate each of the following into either: 1) if P then Q form; or 2) P if and only if Q form. (NOTs are allowed)

1) Mark's new company will be successful provided he gets the loan.
2) Only if John is allowed to go will Ken go.
3) Give a talented teacher academic freedom, and she will excel.
4) No Montague is a Rothschild.
5) Anyone who is not a Montague cannot be a Rothschild.
6) All Montagues are Rothschilds.
7) Only Montagues are Rothschilds.
8) A Montague will never attend a party hosted by a Rothschild.
9) Men and women cannot understand each other.
10) There is no God but Allah.
11) None but the worthy are saved.
12) A score of 750 is necessary to get into MBA University.
13) A score of 750 is sufficient to get into MBA University.
14) I am going to order either the Fish or the Steak, but not both.
15) Loyalty to Al Qaeda and America contradict each other
16) It is both a necessary and sufficient condition for an integer to have N factors of 10 in order to have N trailing zeroes.
17) I will flunk the GMAT unless AkamaiBrah teaches me.
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Kudos [?]: 235 [0], given: 0

Director
Joined: 03 Jul 2003
Posts: 651

Kudos [?]: 104 [0], given: 0

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09 Jul 2003, 17:49
What is the difference between
1. If P then Q & 2. Q if and only if P.

Any layman explanation would be greatly appreciated!

Kudos [?]: 104 [0], given: 0

GMAT Instructor
Joined: 07 Jul 2003
Posts: 769

Kudos [?]: 235 [0], given: 0

Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE

### Show Tags

09 Jul 2003, 18:08
AkamaiBrah wrote:

Please translate each of the following into either: 1) if P then Q form; or 2) P if and only if Q form. (NOTs are allowed)

1) Mark's new company will be successful provided he gets the loan.
2) Only if John is allowed to go will Ken go.
3) Give a talented teacher academic freedom, and she will excel.
4) No Montague is a Rothschild.
5) Anyone who is not a Montague cannot be a Rothschild.
6) All Montagues are Rothschilds.
7) Only Montagues are Rothschilds.
8) A Montague will never attend a party hosted by a Rothschild.
9) Men and women cannot understand each other.
10) There is no God but Allah.
11) None but the worthy are saved.
12) A score of 750 is necessary to get into MBA University.
13) A score of 750 is sufficient to get into MBA University.
14) I am going to order either the Fish or the Steak, but not both.
15) Loyalty to Al Qaeda and America contradict each other
16) It is both a necessary and sufficient condition for an integer to have N factors of 10 in order to have N trailing zeroes.
17) I will flunk the GMAT unless AkamaiBrah teaches me.

The drill is to restate the given statement in the form of its equivalent IF P then Q statement(s) (which we all should understand by now).. Each statement should have either 2 or 4 equivalent statements in IF P THEN Q form. I believe this is a vital skill for performing well in CR and something that is not taught widely.

Here is a starter.
#1
IF Mark gets the loan THEN his company will be successful
IF Mark's company is NOT successful THEN he did not get the loan.

#2
IF Ken goes THEN John must have be allowed to go
IF John is not allowed to go THEN Ken will not go
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Kudos [?]: 235 [0], given: 0

GMAT Instructor
Joined: 07 Jul 2003
Posts: 769

Kudos [?]: 235 [0], given: 0

Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE

### Show Tags

09 Jul 2003, 18:32
What is the difference between
1. If P then Q & 2. Q if and only if P.

Any layman explanation would be greatly appreciated!

The difference is if P then Q, given Q we don't know anything about P.
However, P if and only if Q implies that If P then Q AND if Q then P.

For example.

If I am a man then I am a human.
BUT if I am a human, then I am not necessarily a man.

However,

If I am alive if and only if I am breathing of my own free will.
means the IF, then works both ways
If I am alive then I am breathing of my own free will.
If I am breathing of my own free will then I am alive.
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Kudos [?]: 235 [0], given: 0

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 304 [0], given: 0

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10 Jul 2003, 01:48
1) Mark's new company will be successful provided he gets the loan.
If Mark does NOT get a loan, then his new company will NOT be successful

2) Only if John is allowed to go will Ken go.
If Ken will go, then John is allowed to go.
If John is NOT allowed to go, then Ken will NOT go.

3) Give a talented teacher academic freedom, and she will excel.
She will NOT excel, EITHER if she is NOT a talented teacher, OR if she is NOT given academic freedom.

4) No Montague is a Rothschild.
NO Rothschild is a Montague.

5) Anyone who is not a Montague cannot be a Rothschild.
If he is a Rothschild, then he is a Montague.

6) All Montagues are Rothschilds.
If he is a Montague, then he is a Rothschild.
If he is NOT a Rothschild, then he is NOT a Montague.

7) Only Montagues are Rothschilds.
If he is a Montague, then he is a Rothschild.
If he is NOT a Montague, then he is NOT a Rothschild.

8) A Montague will never attend a party hosted by a Rothschild.
If a party hosted NOT by a Rothschild, a Montague is NOT necessarily attend it. (?)

9) Men and women cannot understand each other.
If As and Bs understand each other, then they are NOT men and women

10) There is no God but Allah.
If God, then Allah
If NOT Allah, then NOT God
If Allah, then God
If NOT God, then NOT Allah
God if and only if Allah
Allah if and only if God (?)

11) None but the worthy are saved.
If he is worthy, then he is saved.
If he is saved, then he is worthy.
If he is NOT saved, then he is NOT worthy.
If he is NOT worthy, then he is NOT saved
He is saved if and only if he is worthy.
He is worthy if and only if he is saved

12) A score of 750 is necessary to get into MBA University.
If he has 750, then he is NOT necessarily got into MBA University.
If he does NOT have 750, then he will NOT be accepted by MBA University.

13) A score of 750 is sufficient to get into MBA University.
If he has 750, then he is accepted by MBA University.
If he is accepted by MBA University, then he has 750.

14) I am going to order either the Fish or the Steak, but not both.
If Fish, then NO Steak.
If Steak, then NO Fish.

15) Loyalty to Al Qaeda and America contradict each other.
He is loyal to Al Qaeda, he is NOT loyal to America.
He is loyal to America, he is NOT loyal to Al Qaeda.

16) It is both a necessary and sufficient condition for an integer to have N factors of 10 in order to have N trailing zeroes.

An integer has N trailing zeroes if and only if the integer has N factors of 10.
An integer has N factors of 10 if and only if the integer has N trailing zeroes.
If an integer does NOT have N trailing zeroes, then the integer does NOT have N factors of 10.
If an integer does NOT have N factors of 10, then the integer does NOT have N trailing zeroes.

17) I will flunk the GMAT unless AkamaiBrah teaches me.
If AkamaiBrah does NOT teaches me, then I will flunk the GMAT.

Kudos [?]: 304 [0], given: 0

CEO
Joined: 15 Aug 2003
Posts: 3454

Kudos [?]: 919 [0], given: 781

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02 Oct 2003, 14:34
AkamaiBrah wrote:

Please translate each of the following into either: 1) if P then Q form; or 2) P if and only if Q form. (NOTs are allowed)

.

1) Mark's new company will be successful provided he gets the loan.

P is sufficient for Q

if loan, then successful
if not successful , then not loan
if not loan ,then may or may not be successful
if successful ,may or may not be loan

2) Only if John is allowed to go will Ken go.

if john goes, ken will go
if ken does not go, then john has not gone.
if ken goes, john may or may not have gone
if john does not go, ken may or may not have gone.

3) Give a talented teacher academic freedom, and she will excel.

Academic freedom is both a necessary and sufficient condition for excellence

if not academic freedom, must not excel
if not excel, must not have academic freedom

4) No Montague is a Rothschild.

If montague, then not rothschild
If not montague, then may or may not be rothschild
If rothschild, then not montague
if not rothschild, then may or may not be montague.

5) Anyone who is not a Montague cannot be a Rothschild.

Montague if and only if Rothschild.

6) All Montagues are Rothschilds.
If Montagues, then Rothschilds
If not Rothchilds, then not montagues

7) Only Montagues are Rothschilds.

If Montagues , then Rothchilds
If not rothchilds, then not montagues

8) A Montague will never attend a party hosted by a Rothschild.

If party not hosted by rothschild, then montague attends.
If party hosted by rothschild, montague never attends.

9) Men and women cannot understand each other.

If men, then they cannot understand women

If women, then they cannot understand men.

10) There is no God but Allah.

If God, then Allah
If not allah, then not god.

11) None but the worthy are saved.

If saved, then worthy
if not worthy, then not saved
if not saved,may or may not be worthy
if worthy, may or may not be saved

12) A score of 750 is necessary to get into MBA University.

if Q ,then P
if not Q, then not P
if 750, may or may not get into MBA univ
If not 750, will not get into MBA univs

13) A score of 750 is sufficient to get into MBA University.

if 750 ,then admit into MBA univ
If not an admit into mba univ, then not 750.
If MBA univ admit, may or may not have 750
If not 750, may or may not admit into mba univ

14) I am going to order either the Fish or the Steak, but not both.

Fish if and only if not steak AND Steak if and only if not fish

if not fish, then steak AND if not steak, then fish.

15) Loyalty to Al Qaeda and America contradict each other

If loyal to alqaeda , then not loyal to america
if loyal to american, then not loyal to alqaeda
If not loyal to america, then may or may not be loyal to alqaeda
If not loyal to alqaeda, may or may not be loyal to america

16) It is both a necessary and sufficient condition for an integer to have N factors of 10 in order to have N trailing zeroes.

if N factors of N, then N trailing zeroes
if N trailing zeroes, then N factors of N

if not N factors of N, then not N trailing Zeroes
if not N trailing zeroes, then not N factors of N.

17) I will flunk the GMAT unless AkamaiBrah teaches me

if not akamaibrah, then flunk gmat
if not flunk gmat, then akamai
if flunk, may or may not be akamai
if akamai, may or may not be flunk

Kudos [?]: 919 [0], given: 781

Re: CR Drill   [#permalink] 02 Oct 2003, 14:34
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