Officer Aptitude Rating (OAR) Test 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

If a = 4b and 8b = 30c, what is the value of a in terms of c?

6c

9c

12c

15c

To find the value of a in terms of c, we can start with the provided equations:

1. a = 4b

2. 8b = 30c

First, let's manipulate the second equation to express b in terms of c. We can do this by rearranging the equation to solve for b:

8b = 30c

=> b = (30c) / 8

=> b = (15c) / 4.

Now that we have b expressed in terms of c, we can substitute this into the first equation. Replace b in the equation a = 4b:

a = 4b

=> a = 4 * (15c / 4)

=> a = 15c.

Thus, the value of a in terms of c is 15c, making this choice the correct answer. This demonstrates how to correctly manipulate and substitute variables in equations to arrive at the desired form of the expression.

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