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Quantitative Reasoning Flashcards

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

Read the first 6 Quantitative Reasoning flashcards as text

  1. A sequence: 3, 6, 12, 24, 48. What is the next number?

    Answer: 96

    Each term doubles the previous one; 48 × 2 = 96.

  2. If x + y = 20 and x − y = 4, what is the value of x?

    Answer: 12

    Adding the two equations: 2x = 24, so x = 12.

  3. Three workers can complete a job in 12 days. How many days would 4 workers take to complete the same job?

    Answer: 9

    Total worker-days = 3 × 12 = 36; with 4 workers: 36 ÷ 4 = 9 days.

  4. A bag contains 3 red, 4 blue, and 5 green marbles. What is the probability of picking a blue marble?

    Answer: 1/3

    Total marbles = 3 + 4 + 5 = 12; probability of blue = 4/12 = 1/3.

  5. A rectangle has length 15 cm and width 8 cm. What is the length of its diagonal?

    Answer: 17 cm

    Using Pythagoras: diagonal = √(15² + 8²) = √(225 + 64) = √289 = 17 cm.

  6. A data set is: 4, 7, 7, 9, 10, 10, 10, 12. What is the mode?

    Answer: 10

    The mode is the value that appears most often; 10 appears three times, more than any other value.