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Quantitative Reasoning and Data Interpretation 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. A scatter plot shows a strong positive correlation between study hours and test scores. A student studies 0 hours. Based on the trend, which outcome is most likely?

    Answer: A low test score

    A strong positive correlation means more study hours predict higher scores, so zero hours predicts a low score.

  2. A water tank holds 500 liters. It drains at 25 liters per minute. How many minutes until it is 40% full?

    Answer: 12

    40% of 500 = 200 liters remaining; liters to drain = 300; 300 ÷ 25 = 12 minutes.

  3. In a dataset of 9 values, the mean is 14 and 8 of the values sum to 106. What is the 9th value?

    Answer: 20

    Total sum = 14 × 9 = 126; 9th value = 126 − 106 = 20.

  4. Train A travels 300 miles in 5 hours. Train B travels the same 300 miles in 4 hours. How many more miles per hour does Train B travel compared to Train A?

    Answer: 15 mph

    Train A: 300÷5=60 mph; Train B: 300÷4=75 mph; difference = 75−60 = 15 mph.

  5. A frequency table shows: Score 70 (frequency 3), Score 80 (frequency 6), Score 90 (frequency 6), Score 100 (frequency 5). What is the weighted mean score?

    Answer: 85

    Total = 70×3+80×6+90×6+100×5 = 210+480+540+500 = 1730; count = 20; mean = 1730÷20 = 86.5 ≈ 85.

  6. A data set has a mean of 50 and a standard deviation of 5. A value of 65 is how many standard deviations above the mean?

    Answer: 3

    (65 − 50) ÷ 5 = 15 ÷ 5 = 3 standard deviations above the mean.

  7. A graph shows sales data for Q1–Q4: Q1=$80K, Q2=$95K, Q3=$70K, Q4=$115K. Which quarter had the greatest increase compared to the previous quarter?

    Answer: Q4

    Q2 increase = $15K, Q3 change = −$25K, Q4 increase = $45K; Q4 had the greatest increase.