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

1:9

Answer

2:7

Answer

1:8

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

1285 meters

Answer

1310 meters

Answer

1300 meters

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

74%

Answer

76%

Answer

70%

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

p – 5

Answer

p/5

Answer

p + 5

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

3 hours and 12 minutes

Answer

4 hours and 10 minutes

Answer

3 hours and 44 minutes

Question 6

Discount appliance store employees are entitled to an extra 20% off the lowest price on any item. How much will an employee spend for a $450 dishwasher if he buys it during a 15% off sale?

Accepted Answer

$306.00

Answer

$287.00

Answer

$280.90

Answer

$292.50

Question 7

A car is being sold for $12,590, which is 20% less than it originally cost. What was the initial cost?

Accepted Answer

$15,737.50

Answer

$14,990.90

Answer

$14,310.40

Answer

$15,108.00

Question 8

Every week, Mark pays each of his "n" employees a sum equal to "s." In what number of days can he hire these 'n' people if he has 'x' amount of money?

Accepted Answer

7x/ns

Answer

nx/7s

Answer

7x/nx

Answer

sx/7n

Question 9

For $165, a distributor bought 550 kg of potatoes. He gave these away to 15 businesses for $6.4 per 20 kilos, 12 shops for $3.4 per 10 kilograms, and the other shops for $1.8 per 5 kilograms. What will he make if his distribution costs total $10?

Accepted Answer

$8.60

Answer

$23.40

Answer

$10.40

Answer

$14.90

Question 10

If Mr. Smith distributes half of his income to his family, $250 to his landowner, and leaves exactly 3/7 of his pay behind, how much does he receive?

Accepted Answer

$3,500

Answer

$3,600

Answer

$175,042

Answer

$2,800

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

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