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Problem-Solving & Logical Reasoning Flashcards

7 cards from real Mettl 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. A bag has 4 red and 6 blue balls. What is the probability of drawing 2 red balls in a row without replacement?

    Answer: 2/15

    P = (4/10) × (3/9) = 12/90 = 2/15.

  2. Which of the following best describes deductive reasoning?

    Answer: Applying general rules to reach specific conclusions

    Deductive reasoning moves from general premises to specific, logically necessary conclusions.

  3. A sequence of letters: A, C, F, J, O, __. What comes next?

    Answer: U

    Gaps increase by 1: +2, +3, +4, +5, +6; O is the 15th letter, so O+6 = U (21st).

  4. If 6 is to 36 as 7 is to __?

    Answer: 49

    6² = 36, so 7² = 49.

  5. A manager must assign tasks 1–4 to employees A, B, C, D with one task each. B cannot do task 2 or 3. A must do task 1. How many valid assignments remain?

    Answer: 2

    A=task 1, B can only take task 4, leaving C and D for tasks 2 and 3 — 2 valid arrangements.

  6. Which of the following weakens this argument? 'Employees who exercise regularly have higher productivity, so the company should build a gym.'

    Answer: Existing gyms nearby are unused by employees

    If nearby gyms are already unused, adding one is unlikely to increase exercise or productivity.

  7. In a class of 30, 18 play soccer, 12 play basketball, and 5 play both. How many play neither?

    Answer: 5

    Using inclusion-exclusion: 18 + 12 − 5 = 25 play at least one; 30 − 25 = 5 play neither.