Logical Reasoning

PT17 · S3 · Q24 Ditrama is a federation made up

A free, expert breakdown of this official LSAT Logical Reasoning question.

  • Save & drill this skill build targeted practice sets from questions like this one

  • Video walkthroughs watch every question solved step by step

  • 81 official LSATs as questions, timed sections & full-length tests

Ditrama is a federation made up of three autonomous regions: Korva, Mitro, and Guadar.

Reading Goal: Get the Facts

Each region gets a share of $ equal to the share of the total population that lives in that region.

Korva got less $ even though their population increased.

Anticipate

LSAT Questions that deal with precents frequently hinge on the relationship between fluctuations in percentages and fluctuations in the raw numbers that the percentages are based on. This question tells us that the raw number of people in Korva went up. But because they got less money this year, and the money is based on percent, we can also infer that the percentage of the total population of Ditrama living in Korva went down.

This inference might show up in the answers just like that, or it might manifest in further inferences about the other regions. In order for the percentage of the population living in Korva to have gone down, the percentage of the population living outside of Korva must have gone up. In order for that to happen, the raw number of people living in the other regions, taken together, must have gone up even more than the number of people living in Korva went up.

If all that seems pretty confusing, there's a global LSAT takeaway here worth committing to memory: When an increase in number doesn't lead to a similar increase in percent, it's because the numbers in the other things increased even more, making the whole bigger and the percentage of the thing in question smaller.

24.

If the statements above are true, which one of the following must also have been shown by the population survey on which last year’s revenue-sharing in Ditrama was based?

  1. Of the three regions, Korva

    Unsupported Comparison

    We can infer that the number of residents in Korva increased less than the number of residents in the other regions taken together. But we don't have any facts to support the claim Korva has the smallest number of residents overall.

    6% picked this

  2. The population of Korva grew

    Unsupported Comparison

    This question hinges on comparing the number of residents and the percentage of residents in the three different regions. It also involves comparing the amount of money a region receives this year versus last year. This answer cobbles those two flavors of comparison together into an unholy Frankenstein-like union: it compares percentage population growth of a single region over multiple years.

    4% picked this

  3. The populations of Mitro and

    Unsupported Comparison

    This answer is definitely tempting, and for many of us it's probably a keeper on the first pass. It compares the right things and sounds almost like our prediction. The problem with this one is that we don't need Mitro and Guadar to each increase by a percentage that exceeds Korva's increase. Say Korva increased its population from 100 to 110 people, Mitro increased from 100 to 150 people, and Guadar's population stayed at 100 people. Taken together, the percent of the population who live in Mitro + Guadar increased more than the percent of the population who lives in Korva. So in this hypothetical, Korva still gets less money this year than last year, without both other regions increasing their population. That means this answer does not have to be true. Sometimes for Mathy questions, it's helpful to run the numbers like this, choosing figures that are easy to understand and manipulate. And just as in Logic Games, for a Must Be True question, try to break the answer by creating a legal hypothetical that doesn't conform to the answer choice. If you can, it's wrong. If you can't, it's probably right. That being said, doing math on the first pass is probably not the best use of your time unless you have a great head for math, and this comes quickly and easily. Holding this one until the end and seeing how it stacks up against D and E is probably the better call for most test takers.

    23% picked this

  4. Of the three regions, Korva’s

    Unsupported Comparison

    As we've established in our deep dive into the other answer choices, we don't need Korva's increase to be the smallest, either in terms of raw numbers, which this answer deals with, or percentages, which answer choice C dealt with. We just need the increase in Korva to be smaller than the increase in Mitro + Guadar, taken together. One other noteworthy thing about this answer choice: if answer choice C had to be true, that would imply that answer choice D was also true. If Mitro and Guadar's percentages both move more than Korva's, we can also infer that their raw numbers moved more than Korva's. Noticing that allows us to rule out answer choice C, because the right answer in a Must Be True question can't imply that another answer must be true as well.

    7% picked this

  5. Correct

    Korva’s population grew by a

    Why this is right

    Here's what we're looking for: Korva's population percentage moved less than at least one of the other two regions. This matches our prediction that the movement in the other two regions, taken together, was greater than the movement in Korva. If we like this one but still need to circle back to C, D, or both, we can compare them and see that if either C or D was true, E would need to be true as well. This rules out both C and D and allows us to pick E with confidence.

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

    59% picked this

Continue the review in LSAT Lab

Save this question, watch the video walkthrough, and drill similar questions in your LSAT Lab account.

LSAT Lab

Turn this review into a targeted study plan.

Save this question, drill more like it, watch the video walkthrough, and track your progress in your LSAT Lab account.

Start practicing free