Free RCMP Problem Solving Questions and Answers

Question 1

There are 28 blue pencils and 7 black pencils in a box. What is the ratio of the blue and black pens?

Accepted Answer

1:4

Answer

Explanation:
The ratio between black and blue pens is 7 to 28 or 7:28. Bring to the lowest terms by dividing both sides by 7 gives 1:4.

Question 2

A weaving plant manager calculates that 10 machines operating at full capacity for eight hours will yield 1450 meters of cloth. Owing to various technical issues, 6 machines operate at 90% efficiency while 4 operate at 95% efficiency. In eight hours, how many meters of cloth can be produced by these machines?

Accepted Answer

1334 meters

Answer

Explanation:
At 100% efficiency 1 machine produces 1450/10 = 145 m of cloth
At 95% efficiency, 4 machines produce 4 * 145 * 95/100 = 551 m of cloth
At 90% efficiency, 6 machines produce 6 * 145 * 90/100 = 783 m of cloth
Total cloth produced by all 10 machines = 551 + 783 = 1334 m
Since the information provided and the question are based on 8 hours, we did not need to use time to reach the answer.

Question 3

There were 1270 registered voters at polling station A, and 945 of them cast ballots in the local election. Out of 1050 registered voters, 860 people voted at polling station B, while 1210 people voted at polling station C out of 1440 registered voters. How many people visited each of the three polling places overall?

Accepted Answer

80%

Answer

Explanation:
The turnout at polling station A is 945 out of 1270 registered voters. So, the percentage turnout at station A is:

(945/1270) × 100% = 74.41%

The turnout at polling station B is 860 out of 1050 registered voters. So, the percentage turnout at station B is:

(860/1050) × 100% = 81.90%

The turnout at polling station C is 1210 out of 1440 registered voters. So, the percentage turnout at station C is:

(1210/1440) × 100% = 84.03%

To find the total turnout from all three polling stations, we need to add up the total number of voters and the total number of registered voters from all three stations:

Total number of voters = 945 + 860 + 1210 = 3015

Total number of registered voters = 1270 + 1050 + 1440 = 3760

The overall percentage turnout is:

(3015/3760) × 100% = 80.12%

Therefore, the total turnout from all three polling stations is 80.12% — rounding to 80%.

Question 4

What portion of the page can Mary type in five minutes if she can type a page in p minutes?

Accepted Answer

5/p

Answer

Explanation:
This is a simple direct proportion problem:
If Lynn can type 1 page in p minutes, then she can type x pages in 5 minutes
We do cross multiplication: x * p = 5 * 1
Then,
x = 5/p

Question 5

How long will it take for both Tracy and Kevin to paint a house if Tracy can do it in four hours and Kevin can finish it in six?

Accepted Answer

2 hours and 24 minutes

Answer

Explanation:
This is an inverse ratio problem
1/x = 1/a + 1/b where a is the time Sally can paint a house, b is the time John can paint a house, x is the time Sally and John can together paint a house
So,
1/x = 1/4 + 1/6 … We use the least common multiple in the denominator that is 24:
1/x = 6/24 + 4/24
1/x = 10/24
x = 24/10
x = 2.4 hours
In other words; 2 hours + 0.4 hours = 2 hours + 0.4•60 minutes
= 2 hours 24 minutes

RCMP - Royal Canadian Mounted Police Practice Test

RCMP - Royal Canadian Mounted Police Practice Test

Free RCMP Problem Solving Questions and Answers