Sufficient vs. Necessary: The Most Common Flaw on the LSAT

Learn it in Aristotle's Booty, drill it in Diagram Cracker and Come Flaw With Me

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Thinking LSAT, run by two long-time tutors, calls confusing a sufficient condition with a necessary one "hands-down the most common flaw on the LSAT" and the one that "tends to trip up novices the most."

Worth sitting with. Flaw questions are the most frequent question type in Logical Reasoning - roughly four per section by 7Sage's count - and Logical Reasoning is now two of your three scored sections. One specific confusion, in the most common question type, on the part of the test carrying most of your score.

The two conditions

One sentence: "If you are a licensed driver, then you are at least sixteen."

licensed driver → at least sixteen

Sufficient sits at the tail of the arrow. Being a licensed driver is enough to guarantee you are sixteen. A one-way ticket: knowing it gets you the other thing for free.

Necessary sits at the head. Being sixteen is required for a license, but it does not hand you one. Plenty of sixteen-year-olds cannot drive.

Here is the piece almost everyone gets right in the abstract and wrong under time pressure:

Knowing the necessary condition is true tells you nothing.

Somebody is sixteen. Do they have a license? No idea. The conditional is silent on it. The instant you treat that silence as a yes, you have committed the most common flaw on the test.

What it looks like in a stimulus

"Every employee who was promoted this year completed the leadership program. Priya completed the leadership program. So Priya must have been promoted."

Strip it to structure:

promoted → completed program

We are told: completed program. We conclude: promoted.

That runs the arrow backward. Completing the program is necessary for promotion, not sufficient for it. Maybe forty people completed it and four were promoted. The argument treats a requirement as a guarantee.

"Every employee who was promoted completed the leadership program. Marcus did not complete the program. So Marcus was not promoted."

promoted → completed program

This one is valid - it is the contrapositive. Not completing the program really does rule out promotion.

Now reverse the original conditional and watch it break:

"Everyone who completed the leadership program was promoted. Marcus did not complete it. So Marcus was not promoted."

completed program → promoted

Here, not completing tells us nothing - Marcus might have been promoted some other way. Same words, one arrow flipped, opposite verdict. This is why the diagram is worth writing down while you are still learning.

How the answer choices describe it

The LSAT rarely says "sufficient" and "necessary" outright. Learn the paraphrases, because on a Flaw question the correct answer is usually one of these in disguise:

The other place it costs you points

Two question types use the word "assumption" and demand opposite things. Mixing them up is expensive, and it is the same distinction wearing a different hat.

Sufficient Assumption - "which one of the following, if assumed, allows the conclusion to be properly drawn?"

You need an answer that makes the conclusion follow with certainty. Overkill is fine. Find the gap between premise and conclusion and build a bridge across it.

Necessary Assumption - "the argument depends on which one of the following assumptions?"

You need something the argument cannot survive without. It does not have to be enough. Answers that are too strong are wrong here - the opposite of the instinct that works on Sufficient Assumption.

By 7Sage's frequency data, Necessary Assumption runs about 2.25 questions per section and Sufficient Assumption about 1.35, so three or four questions per section hinge on knowing which one you are looking at. Read the question stem first, every time.

Spotting it fast

  1. Find the arrow before you read the answers. If a stimulus has a conditional, note which term is sufficient. Most of these flaws become visible the moment the arrow is on paper.
  2. Check the direction of travel. Does the argument move along the arrow, or against it? Along is fine. Against is the flaw.
  3. Watch for a conclusion stronger than its premises. Premises establishing a requirement, followed by a conclusion asserting an outcome, is this flaw more often than not.

Where to drill it

Nearly every student who gets these wrong can define "sufficient" and "necessary" correctly if you ask them cold. The knowledge is not the problem. The problem is that under time pressure, on a stimulus about municipal zoning, with four plausible answers, the structure has to be visible in about ten seconds.

Two tools, two halves of the skill:

The part most study tools do not do

Reading about logic is not the skill. Doing it fast, under pressure, on a sentence you have never seen, is the skill - and the only thing that builds it is a lot of short reps with instant correction.

That is what the Lawgic Lab games are for, and they do not treat every student the same way:

This is the opposite of a fixed syllabus that treats a student who has never seen a conditional the same as one who has done four hundred of them.

Every tool named in this post is part of a Lawgic Lab subscription. Aristotle's Booty for the guided tutorial, Diagram Cracker for open diagramming practice and the nine built-in module sets, Come Flaw With Me for all 31 fallacy types, Mines of Argumentia for argument structure.

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Common questions

What is the fastest way to tell sufficient from necessary?

Ask which term guarantees the other. The guarantor is sufficient and goes at the tail of the arrow; the guaranteed is necessary and goes at the head. If the sentence uses "if," what follows "if" is normally sufficient. If it uses "only if," "requires," or "depends on," what follows is normally necessary.

Is the sufficient-necessary flaw the same as affirming the consequent?

It is the same error in formal-logic vocabulary. Affirming the consequent means observing that the necessary condition holds and concluding the sufficient one does too. The LSAT does not use the Latin names, so learn the structure rather than the label - the answer choices will describe it in plain English.

How do I know whether an assumption question wants sufficient or necessary?

The stem tells you. "If assumed, allows the conclusion to be properly drawn" means sufficient - go big, and make the conclusion airtight. "The argument depends on" or "requires assuming" means necessary - go small, and take the weakest answer the argument cannot survive without. Read the stem before the stimulus and this never becomes a question.

Read next: The 31 famous flaws, how to diagram "unless" with Swap-Flip-Keep, or how much formal logic the LSAT actually needs.