GCAT Quantitative Reasoning and Data Interpretation 5

Question 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?

Accepted Answer

A low test score

Answer

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

Question 2

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

Accepted Answer

12

Answer

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

Question 3

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

Accepted Answer

20

Answer

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

Question 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?

Accepted Answer

15 mph

Answer

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

Question 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?

Accepted Answer

85

Answer

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

GCAT - General Cognitive Ability Test Practice Test

GCAT - General Cognitive Ability Test Practice Test

GCAT Quantitative Reasoning and Data Interpretation 5