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Patterns, codes and arguments MCQs

MDCAT · Logical reasoning · 6 questions

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Revision summary

PMDC MDCAT syllabus: Logical reasoning

Logical reasoning rewards a method more than knowledge. For number series, write the differences between terms; if they are not constant, look at the differences of the differences, or at ratios (×3 each time), squares, cubes or n(n + 1). For letter codes, write the alphabet positions (A = 1 … Z = 26) and check the shift for each letter. For orderings (taller than, older than), draw a line and place each person; relations like "taller than" are transitive. For syllogisms, draw circles: "All A are B" puts A inside B; "Some B are C" overlaps B and C somewhere, but not necessarily where A is, so no conclusion about A and C follows. For odd one out, name the property the others share (flat shapes versus a solid). Do not bring outside knowledge into argument questions: judge only what the statements say.

Questions with answers

Written by Parcha from the syllabus. Samples until a subject reviewer checks them; report anything wrong from the practice screen.

  1. Q1 · Parcha original · Sample

    Find the next number: 2, 6, 12, 20, 30, ?

    • A. 36
    • B. 40
    • C. 42
    • D. 48
    Show answer

    Answer: C. 42

    The gaps grow by 2 each time: +4, +6, +8, +10, so the next gap is +12 and the answer is 42. (Each term is n(n + 1): 1×2, 2×3, 3×4, …, 6×7 = 42.)

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  2. Q2 · Parcha original · Sample

    All doctors are graduates. Some graduates are athletes. Which conclusion follows?

    • A. All doctors are athletes.
    • B. Some doctors are athletes.
    • C. No doctor is an athlete.
    • D. None of these follows.
    Show answer

    Answer: D. None of these follows.

    The athletes among graduates may or may not include any doctors, so nothing definite follows about doctors and athletes. A syllogism with an undistributed middle term ("graduates") gives no conclusion.

  3. Q3 · Parcha original · Sample

    If CAT is written as DBU in a code, how is DOG written?

    • A. EPH
    • B. CNF
    • C. EOH
    • D. DPH
    Show answer

    Answer: A. EPH

    Each letter moves one place forward in the alphabet: C→D, A→B, T→U. So D→E, O→P, G→H gives EPH.

  4. Q4 · Parcha original · Sample

    A is taller than B, and B is taller than C. Who is the shortest?

    • A. A
    • B. B
    • C. C
    • D. Cannot be determined
    Show answer

    Answer: C. C

    The order is A > B > C, so C is the shortest. "Taller than" is transitive: if A > B and B > C, then A > C.

  5. Q5 · Parcha original · Sample

    Find the next number: 3, 9, 27, 81, ?

    • A. 162
    • B. 243
    • C. 108
    • D. 324
    Show answer

    Answer: B. 243

    Each term is three times the one before (powers of 3), so 81 × 3 = 243.

  6. Q6 · Parcha original · Sample

    Which is the odd one out?

    • A. Square
    • B. Triangle
    • C. Circle
    • D. Cube
    Show answer

    Answer: D. Cube

    Square, triangle and circle are flat (two-dimensional) shapes; a cube is a solid (three-dimensional) shape.