Free New Jersey Civil Service Mathematics Questions and Answers — Questions and Answers
Question 1: Each bolt weighs 100 grams, and there are 90 in a box. It also has 100 more bolts inside, each weighing 150 grams. What is the weight of the empty box if the complete package weighs 35,500 grams?
- 10,500g
- 10,000g
- 11,500g (Correct answer)
- 11,500g
Correct answer: 11,500g
Explanation: <br> The total weight of the bolts can be calculated as follows: <br> <br> Weight of 90 bolts (100 grams each) = 90 x 100 = 9,000 grams <br> Weight of 100 bolts (150 grams each) = 100 x 150 = 15,000 grams <br> Total weight of bolts = 9,000 + 15,000 = 24,000 grams <br> <br> To find the weight of the empty box, we can subtract the weight of the bolts from the total weight of the box: <br> <br> Weight of empty box = Total weight of box - Total weight of bolts <br> Weight of empty box = 35,500 - 24,000 = 11,500 grams <br> <br> Therefore, the weight of the empty box is 11,500 grams.
Question 2: Jason Varner must finish his report by 1:00 p.m. A glossary of concepts and five sections make up this report. Twelve different terms related to the terminology used in the information should be included in the glossary. Jason must have his employer assess their work once it is finished. <br> <br> How many grammatical mistakes can you find in the previous sentence?
- Seven (Correct answer)
- Eight
- Nine
- Six
- Zero
Correct answer: Seven
Explanation: <br> There are seven grammatical errors in the above paragraph: <br> <br> 1. "pm" should be "PM" since it is an abbreviation for "post meridiem." <br> 2. "Jason Vanert" should be "Jason Vanert's" since it is possessive. <br> 3. "five sections, and a glossary of terms" should be "five sections and a glossary of terms" since there should not be a comma before "and" in a list. <br> 4. "term" should be plural in "twelve different terms." <br> 5. "that relates to the use of the term" should be "that relates to the terms used" since "terms" is plural and "used" is the correct past participle of the verb. <br> 6. "their" should be "his" since "Jason" is a singular male noun. <br> 7. "boss" should be "boss's" since it is possessive.
Question 3: "Which order is incorrect?" Key: 1 7 6 9 2 4 8 3 J O E L F A S H, the code."
- 16923-JELFH (Correct answer)
- 71831-OJSHJ
- 37169-HOJEL
- 37169-HOJEL
Correct answer: 16923-JELFH
Explanation: <br> The given key and code can be combined as follows: <br> 1 7 6 9 2 4 8 3 <br> J O E L F A S H <br> <br> To create the required sequence, we must match the code's letters with their corresponding numbers in the key. The resulting sequence would be: <br> 1 6 9 2 3 <br> J E L F H <br> <br> Therefore, the correct sequence is 16923-JELFH. <br> <br> As we can see, the original key and code sequence given in the question are already in the correct order, so none of the lines is out of order.
Question 4: Government representatives at the IRS attempted to establish a priority workplace family. In other words, they desired a more hospitable IRS. Congressman Watson told the legislature, "We should implement a national family policy that includes legislation forcing employers to give paid parental leave and establish government-sponsored daycare. Such legislation would reduce the stress levels of those who are in charge of young children. Therefore, such rules would result in happier, more harmonious households." <br> <br> Which of the following best clarifies the passage?
- Legislation requiring companies not to offer paid parental leave and establishing government-sponsored child care would be included in any national family policy that is not implemented.
- Adopting a national family policy would entail legislation removing the requirement for paid parental leave from employers and establishing publicly funded child care.
- Any national family policy that is adopted would include legislation requiring employers to provide paid parental leave and establish government-sponsored day care. (Correct answer)
- Legislation mandating employers to offer paid parental leave would be part of any agreed-upon national family policy, but government-sponsored child care would not be.
Correct answer: Any national family policy that is adopted would include legislation requiring employers to provide paid parental leave and establish government-sponsored day care.
Explanation: <br> The statement "Any national family policy that is adopted would include legislation requiring employers to provide paid parental leave and establish government-sponsored daycare" best clarifies the passage.
Question 5: Decide on the grammatically soundest sentence.
- We are taking the following, two suitcases, a purse, a laptop, a camera and one coat
- We are taking the following two suitcases, a purse, a laptop, a camera and one coat
- We are taking the following; two suitcases, a purse, a laptop, a camera and one coat
- We are taking the following: two suitcases, a purse, a laptop, a camera and one coat (Correct answer)
Correct answer: We are taking the following: two suitcases, a purse, a laptop, a camera and one coat
Explanation: <br> The sentence "We are taking the following: two suitcases, a purse, a laptop, a camera, and one coat." is most grammatically correct. <br> <br> This sentence uses a colon to introduce a list, a grammatically correct way to present a list of items. Additionally, each item in the list is separated by a comma, which is also grammatically correct.
Question 6: In Jackson County, there were 742 available in September, compared to 12 new vacancies. The hiring procedure was cutthroat. In total, 168 people applied. <br> <br> How many job applications per job opening were there?
- 62
- 574
- 15
- 14 (Correct answer)
Correct answer: 14
Divide the total applicants by the number of openings: 168 ÷ 12 = 14 applications per opening. The 742 figure and 168 are distractors — only the new vacancies (12) and total applicants (168) are needed for this ratio.
Question 7: Every fiscal year, employees are expected to have two performance reviews. How many workers still need to fulfil that requirement?
- 2
- 4 (Correct answer)
- 1
- 5
Correct answer: 4
Based on the chart, 4 employees have completed fewer than the required two performance reviews and still need to fulfill the requirement. Counting only those below the two-review threshold gives 4, not 2, 1, or 5.
Each bolt weighs 100 grams, and there are 90 in a box.
It also has 100 more bolts inside, each weighing 150 grams.
What is the weight of the empty box if the complete package weighs 35,500 grams?