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intermediate22 min

Mixed Reasoning Practice

Combine seating-arrangement, series, and syllogism techniques in one integrated puzzle.

What you'll learn

  • Combine a seating-arrangement clue check with a series continuation in one integrated solution
  • Combine a seating-arrangement search with a syllogism validity check
  • Apply general exam-strategy habits (estimation, elimination, time budgeting) built across this course

Prerequisites

Explanation

Real placement tests rarely isolate one technique per question -- a single problem might combine a seating arrangement with a numeric pattern, or a puzzle with a logical deduction. This capstone lesson combines techniques from earlier lessons into single integrated exercises, the same way a real test does.

The good news: combining techniques doesn't require a new method, just applying the same checks side by side and keeping their results separate. A clue-satisfaction check (from seating arrangements) and a series continuation (from number series) don't interact with each other -- you compute each independently and report both results together. The discipline that matters is not mixing up which technique answers which part of the question.

A few general strategy habits, built from everything in this course, are worth stating explicitly:

  • Estimate before computing exactly. If a calculation looks like it should land near a round number, a wildly different answer choice signals an arithmetic slip worth double-checking.
  • Eliminate systematically, the same way the seating and grouping exercises did -- discard answer choices that violate any stated clue rather than trying to reason your way to the "right-feeling" one.
  • Budget time per question. A puzzle that seems to need an exhaustive search is a signal to move faster through the technique (as the brute-force exercises did) rather than getting stuck reasoning by hand.

None of this is a claim that finishing this course makes you "certified" or "guaranteed" to succeed on a real test -- it's self-paced practice. What it does build is the specific, transferable habit of translating a described problem into a checkable rule and testing it systematically, which is the actual skill every reasoning question is really measuring.

Example

Combining a seating-arrangement clue check with a series continuation in one function.

function evaluateMixedPuzzle(order, clues, series) {
  const arrangementValid = clues.every((clue) => clue(order));
  const step = series[1] - series[0];
  const nextInSeries = series[series.length - 1] + step;
  return { arrangementValid, nextInSeries };
}

Guided exercise

Guided exercise

Write evaluateMixedPuzzle(order, clues, series) that returns { arrangementValid, nextInSeries }: arrangementValid is true only if every clue passes for order, and nextInSeries continues the constant-difference series.

Checks: Combines a passing clue with a series continuation · Combines a failing clue with an unaffected series result · plus 1 hidden check

Code editor. Press Escape then Tab to leave the editor if keyboard focus becomes trapped. Press Control+Shift+M inside the editor to toggle Tab-key focus trapping.

Loading editor…

Stuck? Get a hint.

Independent exercise

Independent exercise

Write solveMixedPuzzle(people, clues, premise1, premise2) that returns { arrangement, syllogismValid }: arrangement is the first permutation of people satisfying every clue (or null), and syllogismValid checks whether premise1 and premise2 (each { type, subject, predicate }) validly chain into an 'All' conclusion.

Checks: Combines a valid arrangement with a valid syllogism · Combines a valid arrangement with an invalid syllogism · plus 1 hidden check

Code editor. Press Escape then Tab to leave the editor if keyboard focus becomes trapped. Press Control+Shift+M inside the editor to toggle Tab-key focus trapping.

Loading editor…

Stuck? Get a hint.

Common mistakes

  • Letting one technique's result influence the other when they are actually independent.
  • Spending too long on an exhaustive search instead of recognizing when a brute-force check is the fastest path.
  • Treating a passing structural check as proof of exam-readiness rather than as one data point in ongoing practice.

Knowledge check

Knowledge check

1. A puzzle gives a seating clue and a number series in the same question. Should solving the series ever change which seating arrangement is valid?
2. A syllogism chain and a seating arrangement appear in the same question, sharing no data between them. What is the safest approach?
3. According to this lesson, what should a learner do after passing every check in this capstone?

Takeaway

Combined puzzles are just independent techniques applied side by side -- solve each with its own established method and never let one influence the other.

Summary

This capstone combines seating-arrangement, series, and syllogism techniques from earlier lessons into single integrated exercises, mirroring how real placement tests mix techniques. It closes with honest framing: these checks demonstrate technique, not certified readiness, and further self-directed practice still matters.

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