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Reasoning Flashcards

7 cards from real GCAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. All squares are rectangles. Shape X is not a rectangle. What can we conclude?

    Answer: Shape X is not a square

    Using contrapositive: if not a rectangle, then not a square.

  2. A car depreciates 15% per year. If it costs $20,000 new, what is its value after 2 years?

    Answer: $14,450

    $20,000 × 0.85 × 0.85 = $20,000 × 0.7225 = $14,450.

  3. Find the missing number: 8 : 64 :: 5 : ___

    Answer: 25

    8 squared is 64; similarly, 5 squared is 25.

  4. In a group of 50 people, 30 like tea and 20 like coffee. 10 like both. How many like neither?

    Answer: 10

    Using inclusion-exclusion: 30 + 20 − 10 = 40 like at least one; 50 − 40 = 10 like neither.

  5. Which of the following is an example of deductive reasoning?

    Answer: All mammals breathe air; whales are mammals; therefore whales breathe air

    Deductive reasoning draws a guaranteed conclusion from universal premises applied to a specific case.

  6. Mirror image: The word 'MAPS' is reflected horizontally. What does it look like?

    Answer: SPAM

    A horizontal reflection of 'MAPS' reverses the letter order to 'SPAM'.

  7. A project takes 12 days with 8 people. If 4 people leave after 6 days, how many more days are needed?

    Answer: 10

    Total work = 96 person-days; 6 days × 8 people = 48 done; remaining 48 ÷ 4 people = 12 more days.