Logical Reasoning

PT104 · S4 · Q14 In 1712 the government of Country

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In 1712 the government of Country Y appointed a censor to prohibit the publication of any book critical of Country Y’s government; all new books legally published in the country after 1712 were approved by a censor.

Statements

Conditionals (any, all = Left side, sufficient)

Book critical of → censor supposed to country Y's govt. prohibit its publication

New book legally → approved by censor published after 1712

Comparison (1st censor vs. 2nd censor) Quantitative (1/2 vs. 1/4 vs. same number)

1st censor 2nd censor

same number approved

50% rejected 25% rejected (50% approved) (75% approved)

Evaluate

They've given us a couple conditional and some math facts to work with. The conditionals don't link together. Even though they both discuss the "censor", the first rule would be about whether or not the govt of Y wants the censor to prohibit it. The other rule is about whether or not the censor prohibits it.

We don't know how much the censors actual approvals / prohibitions will line up with the government's intent when they appointed this censor.

The math facts, meanwhile, do combine to tell us something. We see the pivot word but introducing the last math fact. It creates a paradox-like tension. When we see pivot words (on Inference questions) do this sort of thing, we want to pause to try to Reconcile the Pivot.

(Like if I say Marsha just got a raise, yet her salary is the same percent of her rent it was last year .... this creates a tension, which we could mathematically resolve saying that last year her rent increased too)

Given that the 1st censor was rejecting 50% of its submissions, whereas the 2nd censor was rejecting only 25% of the manuscripts she reviewed, how did they end up with the same number of approved manuscripts?

If Mary says no to more people asking her on a date more often than Jane does, but they go on an equal number of dates, that means .... Mary is asked out on dates more than Jane.

In this example, if the 1st censor said no more often but ended up with the same number of approved manuscripts, she must have read through more submissions.

If this math doesn't seem intuitively clear to you, but your spidey-sense tells you that LSAC is trying to test something math-y, then consider throwing some easy numbers on the page.

If both censors read 100 manuscripts, then according to our 1/2 and 1/4 facts, 1st censor -- approved 50, rejected 50 2nd censor -- approved 75, rejected 25

Do these numbers fit the last claim -- the number of books approved was the same?

No, the number approved from the 2nd censor is larger. How would you make it the same?

What if 1st censor read 200 and 2nd censor read 100? 1st censor -- approved 100, rejected 100 2nd censor -- approved 75, rejected 25

Well, that was too far, because now the 1st censor approved more books, but we can see that in order to fix the original mismatch (when 1st censor has fewer approvals), we need to increase the number of submissions for increase the number of submissions that the 1st censor reviewed in order to make the # of books approved equal out.

If you really want to see numbers that work out, consider these: 1st censor (120 submissions) 60 approved, 60 rejected

2nd censor (80 submissions) 60 approved, 20 rejected

Goal

Look for an answer saying something like the 1st censor reviewed more manuscripts than the 2nd censor did.

14.

If the statements in the passage are true, which one of the following can be properly concluded from them?

  1. More books critical of Country

    Out of Scope: before 1st censor

    We don't have any information about how many books were published before the 1st censor, so there's no way we could prove this claim. It's trying to fish people into speculating that, "If there wasn't a censor before, then there were probably more books critical published." You'd be absolutely-probably right. It's just not a guarantee, and the question asks for a must be true (properly concluded / properly drawn / follows logically = must be true)

    9% picked this

  2. The first censor and the

    Must Be False

    We know specifically this is not the case. In order to make the math work, the 1st censor has to be looking at more manuscripts than the 2nd censor. 1st censor rejects 50% of bigger # of submissions 2nd censor rejects 25% of smaller # of submissions

    5% picked this

  3. Correct

    More book manuscripts were submitted

    Why this is right

    This is what we were predicting. 1st censor approved 50% of submissions. 2nd censor approved 75% of submissions. The ultimate number approved was the same. So if 50% of x = 75% of y then x > y

    Skill tested: Must be True · how this choice captures the argument's function is the move to repeat next time.

    71% picked this

  4. The second censor allowed some

    Too Speculative

    This sounds somewhat plausible since the 2nd censor was only rejecting 25% of submissions, but we don't know that the censor's standards were more lax. It could just as easily be that book writers learned what was / wasn't going to get through the censors, so by the time the 2nd censor was working, the submissions were more realistic in hiding any criticisms of the government.

    9% picked this

  5. The number of writers who

    Out of Scope: number of writers

    We know the number of submissions had to be higher, but that doesn't guarantee there were a higher number of writers. The same (or even a smaller) number of writers could still result in more overall submissions if each writer was submitting more manuscripts per person than they used to.

    7% picked this

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