Criteria Cognitive Aptitude (CCAT) Practice Test

Ben is 75% of his uncle's age and 3 times older than his nephew. If Ben's uncle is 50 years old, how old is Ben's nephew?

1. 10.5

2. 28

3. 17

4. 12.5

The correct answer is: 12.5

To find the age of Ben's nephew, we first calculate Ben's age using the information provided. Given that Ben is 75% of his uncle's age and his uncle is 50 years old, we can calculate Ben's age as follows: Ben's age = 75% of uncle's age Ben's age = 0.75 × 50 Ben's age = 37.5 years Next, the problem states that Ben is "3 times older than his nephew." The phrase "3 times older" typically means that if we let the nephew's age be represented by 'N', then Ben's age must be equal to N plus three times N (Ben is actually four times the nephew's age). This gives us the equation: Ben's age = 4N 37.5 = 4N To find N, we can rearrange this equation: N = 37.5 / 4 N = 9.375 It appears that I should instead confirm how the options align with this information. Since none of the provided options reflect 9.375, it raises the possibility of a misunderstanding regarding the relationship stated in the original problem. Assuming that "3 times older" is understood as