# FREE CPS Firefighter Numerical Reasoning Questions and Answers

#### A 10 cm diameter pipe transports water to a depth of 2 cm. How much of the pipe's capacity is being used?

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Wrong!

#### If one man takes 4 hours to paint a house and another man takes 6 hours to paint a house. How long will it take both men to finish painting one house?

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Wrong!

#### Fred was given a large bag of sweets and ate one-third of them before stopping due to nausea. He ate one-third of the remaining sweets the next day, and the next day he ate one-third of the remainder, before counting the sweets he had left, which totaled eight. How many candies were given to him at the start?

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Wrong!

#### Larry comes up with a number. He squares it, then subtracts 5, multiplies it by 4, subtracts 7, divides it by 3, and finally adds 6. His response is 9. What was his first number?

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Wrong!

#### Kevin, Jane, and Kate are all traveling to London by train to watch a singing competition. Jane boards the 2:15 PM train. Kevin's train trip takes half as long as Kate's. Kevin boards the 3:00 train. Kate arrives at 3:25 PM., 20 minutes after Jane. When will Kevin show up?

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Wrong!

#### What is the angle formed by the hands of a clock at 10:30 AM?

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Wrong!

#### A machine in a chocolate factory divides a 1 kg block of chocolate into rectangles weighing 10g each. These rectangles are then stamped into 6g chocolate disks, with the remaining chocolate discarded. These chocolate disks are then placed in bags of four, sealed, and placed in boxes. Each box contains six bags that are ready for distribution to stores. See how many full boxes we can get from the original 1kg of chocolate. How much of the original 1kg of chocolate was used to make these boxes?

Correct!
Wrong!