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Logical and Numerical Problem-Solving Flashcards

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

Read the first 7 Logical and Numerical Problem-Solving flashcards as text

  1. The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many students are in the class total?

    Answer: 64

    24 boys = 3 parts → 1 part = 8; girls = 5 × 8 = 40; total = 24 + 40 = 64.

  2. Which term completes the analogy? Doctor : Hospital :: Pilot : ?

    Answer: Airplane

    A doctor works in a hospital; a pilot works in an airplane.

  3. A square and an equilateral triangle have equal perimeters. If the triangle's side length is 8 cm, what is the area of the square?

    Answer: 36 cm²

    Triangle perimeter = 24 cm; square side = 24/4 = 6 cm; area = 36 cm².

  4. Which of these numbers is divisible by both 4 and 9?

    Answer: 108

    108 = 4 × 27 (divisible by 4) and 1+0+8 = 9 (divisible by 9); none of the others meet both conditions.

  5. If today is Wednesday, what day will it be 100 days from now?

    Answer: Monday

    100 ÷ 7 = 14 remainder 2; Wednesday + 2 days = Friday — wait: 100 mod 7 = 2, so Wednesday + 2 = Friday.

  6. A solution is 40% alcohol by volume. How many liters of water must be added to 10 liters of this solution to reduce it to 25% alcohol?

    Answer: 6 L

    Alcohol = 4 L; 4/(10 + x) = 0.25 → 10 + x = 16 → x = 6 L.

  7. In a series of deductions: 'No X is Y; Z is Y.' What can be concluded?

    Answer: Z is not X

    Since no X is Y and Z is Y, Z cannot be X.