RCAT Numerical Reasoning 2

Question 1

A car depreciates by 15% per year. If it is worth $20,000 now, what will it be worth after 2 years?

Accepted Answer

$14,450

Answer

$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?

Accepted Answer

21

Answer

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?

Accepted Answer

15.5%

Answer

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?

Accepted Answer

76

Answer

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?

Accepted Answer

42

Answer

15% of 80 = 12; 25% of 120 = 30; 12 + 30 = 42.

RCAT - Revelian Cognitive Ability Test Practice Test

RCAT - Revelian Cognitive Ability Test Practice Test

RCAT Numerical Reasoning 2