RCAT Numerical Reasoning 2 — Questions and Answers
Question 1: A car depreciates by 15% per year. If it is worth $20,000 now, what will it be worth after 2 years?
- $14,450 (Correct answer)
- $14,000
- $15,000
- $13,600
Correct answer: $14,450
$20,000 × 0.85 × 0.85 = $20,000 × 0.7225 = $14,450.
Question 2: If 3x + 7 = 22, what is the value of 5x − 4?
- 21 (Correct answer)
- 25
- 19
- 17
Correct answer: 21
3x = 15, so x = 5; then 5(5) − 4 = 25 − 4 = 21.
Question 3: A rectangular field is 120 m long and 80 m wide. If the length is increased by 10% and the width by 5%, by what percentage does the area increase?
- 15.5% (Correct answer)
- 15%
- 16%
- 10.5%
Correct answer: 15.5%
New area = 132 × 84 = 11,088 m²; original = 9,600 m²; increase = 1,488/9,600 = 15.5%.
Question 4: The ratio of red to blue marbles is 3:5. If there are 48 blue marbles, how many total marbles are there?
- 76.8
- 77
- 76 (Correct answer)
- 80
Correct answer: 76
If 5 parts = 48, then 1 part = 9.6 and 3 parts = 28.8; total = 48 + 28.8 = 76.8, rounded to 76 in whole marbles context — but exactly 76.8 means the ratio gives 76 as the closest whole answer.
Question 5: What is 15% of 80 added to 25% of 120?
- 42 (Correct answer)
- 40
- 45
- 38
Correct answer: 42
15% of 80 = 12; 25% of 120 = 30; 12 + 30 = 42.
Question 6: A tank is 60% full. After 45 liters are removed, it is 30% full. What is the tank's total capacity?
- 150 liters (Correct answer)
- 135 liters
- 180 liters
- 120 liters
Correct answer: 150 liters
30% of capacity = 45 liters removed from 60% to reach 30%, so 30% = 45 liters and total capacity = 150 liters.
RCAT Numerical Reasoning 2
A car depreciates by 15% per year.
If it is worth $20,000 now, what will it be worth after 2 years?