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CSS MPT: Analytical Reasoning: Deduction Under Constraints

CSS MPT · Work through your exam, one topic at a time.

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Analytical Reasoning: Deduction Under Constraints

Analytical reasoning asks you to hold a small set of rules in mind and derive what must be true. Typical formats are linear and circular seating, ordering by rank or date, grouping and selection with constraints, blood relations, direction sense, syllogisms and short deductive puzzles. The section rewards disciplined elimination rather than guessing.

Working method

  • Diagram first. Draw slots (1–6, or a circle) or a table; do not try to hold conditions in your head.
  • Record fixed and forbidden positions. "A sits at an end" and "B is not adjacent to C" shrink the space immediately.
  • Separate must-be from can-be. A must-be question needs one forced outcome; a can-be question needs only one legal arrangement.
  • Syllogisms: draw the smallest Venn diagram that satisfies the premises. "All X are Y; some Y are Z" proves nothing certain about X and Z.
  • Conditionals: "if P then Q" licenses "not Q, therefore not P" (contrapositive) but never "Q, therefore P".

Worked example

Five students A–E sit in a row. C is in the middle. A is at one end. D sits immediately to the right of C. Who can be at the other end? Place C in seat 3 and D in seat 4. A takes seat 1. The remaining seats 2 and 5 go to B and E in either order, so either B or E can occupy seat 5. Answering with a single name ignores the freedom the rules leave.

Traps that cost marks

  • Reading "some" as "some but not all"; in formal logic "some" is compatible with "all".
  • Converting "all A are B" into "all B are A".
  • Answering a must-be question with a merely possible arrangement.
  • Overlooking one rule that eliminates the arrangement you have already drawn.
  • Sinking ten minutes into one puzzle; each item carries the same mark as a one-line grammar question.