Texas Civil Service Mathematics and Reasoning Questions and Answers — 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?

864 vials
714 vials (Correct answer)
186 vials
704 vials

Correct answer: 714 vials

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?

187.5 gallons (Correct answer)
312.5 gallons
375 gallons
250 gallons

Correct answer: 187.5 gallons

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?

$125,000
$120,600
$132,000
$126,000 (Correct answer)

Correct answer: $126,000

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, ___

28
29
30 (Correct answer)
31

Correct answer: 30

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?

1 hour and 30 minutes (Correct answer)
1 hour and 15 minutes
90 hours
1 hour and 40 minutes

Correct answer: 1 hour and 30 minutes

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.

Question 6: A city vehicle travels 210 miles and uses 15 gallons of gasoline. What is the vehicle's average miles per gallon (MPG)?

15 MPG
16 MPG
14 MPG (Correct answer)
12 MPG

Correct answer: 14 MPG

To find the miles per gallon, divide the total miles traveled (210) by the number of gallons used (15): 210 / 15 = 14. The vehicle's average is 14 MPG.

Texas Civil Service Mathematics and Reasoning Questions and Answers

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?

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