It is currently 22 Nov 2017, 02:56

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A sufficient condition can be defined as an event or

Author Message
TAGS:

Hide Tags

Senior Manager
Joined: 24 Aug 2009
Posts: 497

Kudos [?]: 868 [0], given: 276

Schools: Harvard, Columbia, Stern, Booth, LSB,
A sufficient condition can be defined as an event or [#permalink]

Show Tags

11 Apr 2013, 22:31
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 2 sessions

HideShow timer Statistics

A sufficient condition can be defined as an event or circumstance whose occurrence indicates that a necessary condition must also occur.
A necessary condition can be defined as an event or circumstance whose occurrence is required in order for a sufficient condition to
Occur.

If a sufficient condition occurs, it means that the necessary condition MUST occur. But if a necessary condition occurs, then it is possible but not certain that the sufficient condition will occur.
The assumption underlying a conditional statement is that the necessary condition must occur in order for the sufficient condition to occur.

Can somebody explain the meaning of highlighted sentence in the light of 3 statements mentioned above. If possible, kindly explain with proper examples.

Fame
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Kudos [?]: 868 [0], given: 276

Verbal Forum Moderator
Joined: 16 Jun 2012
Posts: 1126

Kudos [?]: 3553 [2], given: 123

Location: United States

Show Tags

11 Apr 2013, 23:22
2
KUDOS
2
This post was
BOOKMARKED
fameatop wrote:
A sufficient condition can be defined as an event or circumstance whose occurrence indicates that a necessary condition must also occur.
A necessary condition can be defined as an event or circumstance whose occurrence is required in order for a sufficient condition to
Occur.

If a sufficient condition occurs, it means that the necessary condition MUST occur. But if a necessary condition occurs, then it is possible but not certain that the sufficient condition will occur.

Can somebody explain the meaning of highlighted sentence in the light of 3 statements mentioned above. If possible, kindly explain with proper examples.

Fame

@fameatop.
I'm happy to help.

Just a small example to understand NECESSARY condition & SUFFICIENT condition.

EXAMPLE:

If you want to be a CPA, you must pass CPA exams (1)
If you want to sit for CPA exams, you need at least 150 college credits. (2)

(1) is the Sufficient condition, it means you will be a CPA ONLY IF you pass CPA exams.
(2) is the Necessary condition, it means that you're eligible for taking CPA exams ONLY IF you earned 150 college credits.

ANALYSIS:

If sufficient condition occurs - you pass CPA exams, it means that necessary condition MUST occur - you MUST have 150 college credits. If you do not have 150 college credit, you're not eligible for taking CPA exams.

On the other hand, If necessary condition occurs - you earned 150 college credits, then it is possible but not certain that sufficient condition will occur - you MAY or MAY NOT PASS CPA exams.

Hope it's clear
_________________

Please +1 KUDO if my post helps. Thank you.

"Designing cars consumes you; it has a hold on your spirit which is incredibly powerful. It's not something you can do part time, you have do it with all your heart and soul or you're going to get it wrong."

Chris Bangle - Former BMW Chief of Design.

Kudos [?]: 3553 [2], given: 123

Manager
Joined: 22 Dec 2012
Posts: 114

Kudos [?]: 20 [0], given: 57

Show Tags

11 Apr 2013, 23:48
Let me take a shot
A necessary condition can be defined as an event or circumstance whose occurrence is required in order for a sufficient condition to
Occur.

Example: When I run for a mile or more, I get breathless. I don't get breathless any other time.

Necessary - To run for a mile or more..
Sufficient - To know that I was breathless..implying I must have run a mile or more..

The assumption underlying a conditional statement is that the necessary condition must occur in order for the sufficient condition to occur.

Example: People who work very hard score well on the GMAT. Rick scored a 700+ on the GMAT, so he must have worked hard.

Sufficient: 700+ on the GMAT
Necessary: worked hard

Assumption is that Rick worked hard to get his GMAT 700+ score..

Let me know if it makes sense ... I am a retake junkie who aspires to get better at CR :D

Kudos [?]: 20 [0], given: 57

Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4497

Kudos [?]: 8770 [2], given: 105

Show Tags

12 Apr 2013, 17:19
2
KUDOS
Expert's post
fameatop wrote:
A sufficient condition can be defined as an event or circumstance whose occurrence indicates that a necessary condition must also occur.
A necessary condition can be defined as an event or circumstance whose occurrence is required in order for a sufficient condition to
Occur.

If a sufficient condition occurs, it means that the necessary condition MUST occur. But if a necessary condition occurs, then it is possible but not certain that the sufficient condition will occur.
The assumption underlying a conditional statement is that the necessary condition must occur in order for the sufficient condition to occur.

Can somebody explain the meaning of highlighted sentence in the light of 3 statements mentioned above. If possible, kindly explain with proper examples.

Fame

I'm happy to help.

First of all, keep in mind that "necessary & sufficient are complementary conditions -----
If A is necessary for B, then B is sufficient for A.
Let A = the car has gas in its tank
B = one can turn this car on and drive it from place to place
OR
A = polygon is a rectangle
B = polygon is a square
OR
A = I am in California
B = I am in San Francisco, CA

Now, your sentence: "If a sufficient condition occurs, it means that the necessary condition MUST occur. But if a necessary condition occurs, then it is possible but not certain that the sufficient condition will occur."
If the car moves, then it must have gas. If all you know is that the car has gas, it may or may not turn on (what if the battery is missing?)
If the polygon is square, it is definitely a rectangle as well. If the polygon is a rectangle, then it may or may not be a square.
If I am in SF, I'm definitely in CA, but if I'm in CA, I could be a number of places other than SF ---- LA, San Diego, Lake Tahoe, Yosemite, etc etc.

The terms "necessary" and "sufficient" are alternate ways of phrasing "if-then" statements. The following four statements all say the same thing:
(1) If P, then Q
(2) Only if Q, then P.
(3) P is necessary for Q
(4) Q is sufficient for P

Incidentally, this is why "J if and only if K" is equivalent to "J is necessary and sufficient for K".

Does all this make sense?

Mike
_________________

Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Kudos [?]: 8770 [2], given: 105

Non-Human User
Joined: 01 Oct 2013
Posts: 10129

Kudos [?]: 270 [0], given: 0

Re: A sufficient condition can be defined as an event or [#permalink]

Show Tags

02 Apr 2016, 07:00
Hello from the GMAT Club VerbalBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

Kudos [?]: 270 [0], given: 0

Re: A sufficient condition can be defined as an event or   [#permalink] 02 Apr 2016, 07:00
Display posts from previous: Sort by