Texas Civil Service Mathematics and Reasoning Questions and Answers

Question 1

An evidence room stocks 36 boxes of collection vials. If each box contains 24 vials, and a total of 150 vials are used for a major investigation, how many vials remain in stock?

Accepted Answer

714 vials

Answer

First, calculate the total number of vials. Multiply the number of boxes (36) by the number of vials per box (24): 36 * 24 = 864. Next, subtract the number of used vials (150) from the total: 864 - 150 = 714. There are 714 vials remaining.

Question 2

A fire engine's water tank holds 500 gallons. The pump can spray water at a rate of 125 gallons per minute (GPM). If the engine starts with a full tank and sprays water continuously for 2.5 minutes, how many gallons of water will be left in the tank?

Accepted Answer

187.5 gallons

Answer

First, calculate the total amount of water sprayed. Multiply the rate (125 GPM) by the time in minutes (2.5): 125 * 2.5 = 312.5 gallons. Then, subtract the amount sprayed from the initial amount in the tank: 500 - 312.5 = 187.5 gallons.

Question 3

A police department's budget for fuel was $120,000 last year. This year, the budget was increased by 5%. What is the fuel budget for this year?

Accepted Answer

$126,000

Answer

To find the increase amount, calculate 5% of $120,000. Convert the percentage to a decimal (5% = 0.05) and multiply: 0.05 * $120,000 = $6,000. Add this increase to the original budget: $120,000 + $6,000 = $126,000.

Question 4

Complete the following number series: 5, 8, 12, 17, 23, ___

Accepted Answer

30

Answer

The pattern is to add a sequentially increasing number to the previous number. From 5 to 8, you add 3. From 8 to 12, you add 4. From 12 to 17, you add 5. From 17 to 23, you add 6. Therefore, the next step is to add 7 to 23, which is 30.

Question 5

An administrative clerk can type 60 words per minute. How long will it take the clerk to type a 5,400-word report?

Accepted Answer

1 hour and 30 minutes

Answer

To find the total time in minutes, divide the total number of words (5,400) by the typing speed (60 words per minute): 5400 / 60 = 90 minutes. To convert this to hours and minutes, divide by 60. 90 / 60 = 1 with a remainder of 30. This is 1 hour and 30 minutes.

Texas Civil Service Exam Practice Test

Texas Civil Service Exam Practice Test

Texas Civil Service Mathematics and Reasoning Questions and Answers