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Statement and Conclusion

15 minintermediateModule 4: Analytical ReasoningContinues from hat-statement-assumption
15 min · Module 4: Analytical Reasoning · Question type

Why This Matters

In this question type you are given one or more statements, followed by two or three claimed conclusions. You must decide which conclusions definitely follow from the statements as written, with no outside knowledge and no assumptions added by you.

The difficulty is not reading; it is restraint. Most wrong options are true in the real world or plausible in the story, but not forced by the sentences. The question asks what the statements compel, not what you suspect is probably the case.

A Simple Model

Treat the statements as the only facts that exist. A conclusion follows only if no picture consistent with the statements can make it false.

follows = true in every case the statements allow

What this model omits: it says nothing about how likely a conclusion is. Probability is irrelevant here. A conclusion that is almost certainly true is still wrong if the statements do not force it.

The Actual Detail

Test each conclusion alone. Read the statements, cover the options, then read one conclusion and ask only one question: can I build a consistent case where the statements hold and this conclusion is false? If yes, it does not follow.

TrapExample shape
Overreach“Some prices rose” does not give “all prices rose”
RestatementThe conclusion repeats a statement and claims nothing new
Outside factThe conclusion is true in the world but absent from the statements
Reversal“All A are B” is turned into “all B are A”
Cause from orderTwo events listed together are said to cause one another
Probability as proofSomething likely is treated as something certain

Quantifiers decide most items. If a statement says some or many, a conclusion that says all or none cannot be guaranteed. If a statement says all, a conclusion saying some can follow, provided the group exists.

The phrase that saves you. Ask: “Could the opposite of this conclusion be true while the statements still hold?” If yes, it does not follow. This single question settles nearly every option.
Reject restatements. If a conclusion merely repeats a statement in different words, it is not a conclusion drawn from the statements. It adds nothing, and it is not the answer.

A Worked Example

Statements: “All members of the club pay the annual fee. Some members also volunteer for the clean-up drive.”

Conclusions: (1) Some who volunteer pay the fee; (2) All volunteers pay the fee; (3) Only members pay the fee.

Conclusion (1) follows. The statement says some members volunteer, and every member pays, so at least those volunteers both volunteer and pay. The overlap is guaranteed.

Conclusion (2) does not follow. The statement says some members volunteer; it never says that only members volunteer. A non-member may volunteer without paying the fee, so the word all overreaches and the conclusion fails.

Conclusion (3) does not follow. The statements say what members do; they say nothing about non-members. Many non-members may also pay the fee, and the statements would still hold. The word only overreaches, so the conclusion fails.

Try It

Statements: “All engineers on the team are graduates. Some graduates are also managers.” Does the conclusion “some engineers are managers” follow?

Statement: “Some students passed the entrance test.” Which conclusion follows?

Statements: “The city has opened a new bus route. Complaints about crowding have risen since then.” Conclusion: “The new route caused the rise in complaints.” Does it follow?

Check Your Understanding

Without looking back: what single question settles whether a conclusion follows, and why are restatements rejected?

The answer: ask whether the opposite of the conclusion could be true while the statements still hold; a restatement claims nothing new, so it is not a conclusion drawn from the statements.

Fill in the blanks from memory:

A conclusion must necessarily from the statements. If the statements only permit it, we say it follow, which is not enough. A conclusion that merely repeats a statement is a and is rejected. Nothing may be added from outside .

Apply It

Statements: “All scholarship holders must maintain a grade average of seventy. Some scholarship holders play for the college team.” Conclusions: (1) Every team player who holds a scholarship averages seventy; (2) All who average seventy hold a scholarship; (3) Some team players average seventy.

Show the reasoning

(1) Follows. A scholarship holder who plays for the team is a scholarship holder, and all scholarship holders must average seventy. The team player sits inside the scholarship group, which sits inside the average-seventy group.

(2) Does not follow. This is the reversal. Averaging seventy is necessary for a scholarship, not sufficient. Many students averaging seventy may hold no scholarship, and the statements remain true.

(3) Follows on the usual reading. Some scholarship holders play for the team, and all scholarship holders average seventy, so those playing holders average seventy. At least one such player exists.

The item turns entirely on direction: inside the circle follows, outside the circle does not. Keep the groups nested correctly and the answer is immediate.

Connect

Conclusions are forced by statements. The next lesson drops the force and keeps the claim: a proposal is put forward, and you must judge which supporting arguments are genuinely strong rather than merely loud.