Quantitative reasoning
You solve problems with percentages, ratios, averages, rates, and totals — the everyday math of budgets, staffing, and workloads. The numbers are simple; the skill is setting the problem up correctly.
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Staff Analyst Exam Study Guide
Quantitative reasoning, data interpretation, and written analysis for Staff Analyst and government analyst civil service exams.
135 track practice questions in the bank · Free 25-question practice test included below.
Take Free Practice Test →Overview
Staff Analysts are the problem-solvers of city government: they collect and interpret data, analyze budgets and operations, write clear reports and recommendations, and help managers make decisions based on evidence rather than guesswork. The job blends numbers, reading, and writing.
The exam tests quantitative reasoning and data interpretation — tables, charts, percentages, and rates — alongside reading comprehension, logical reasoning, and written analysis. DCAS multiple-choice exams generally use a 70% pass mark.
Use this guide to practice reading data the way an analyst does — what the numbers say, what they do not say, and what conclusion they actually support — and to sharpen the written analysis that turns findings into recommendations.
What the exam typically tests
Data interpretation
You read tables and charts and answer questions about them: which category is largest, what changed over time, what the trend is. The trap is answering from the wrong column or the wrong year.
Reading comprehension
You read reports, memos, and passages and answer questions about what they say and what they imply. Read the question first so you know what detail to look for.
Logical reasoning
You apply rules to cases, find the conclusion that follows from the facts, and spot the argument that does not hold up. Write the rule in your own words before looking at the choices.
Written analysis
You choose the clearest, most accurate way to state a finding or a recommendation, and you spot vague, unsupported, or overstated claims. Good analysis says only what the evidence supports.
Problem solving
You work through multi-step workplace problems — a budget shortfall, a scheduling conflict, a process that is falling behind — and pick the solution that fits the facts and the constraints.
Topic checklist
Work through this list honestly — drill the items you cannot do yet.
- ☐ Calculate percentages, ratios, averages, and rates without a calculator error
- ☐ Read a table or chart and answer questions from the correct row and column
- ☐ Describe a trend in data accurately, without overstating it
- ☐ Identify the conclusion that actually follows from the facts given
- ☐ Apply a stated rule to a new case and check every condition
- ☐ Spot the claim that the evidence does not support
- ☐ Choose the clearest and most accurate wording for a finding or recommendation
- ☐ Work through a multi-step problem in the right order
- ☐ Distinguish a fact from an opinion in a report or memo
- ☐ Summarize a passage in one sentence that keeps its main point
How to prepare
1Table-reading drill
Daily, take one table or chart — from a news article, a budget report, or a practice question — and write down three facts it shows and one conclusion it does NOT support. Good looks like facts that match the right row and column every time.
2Quantitative drill
Daily, solve 10 problems mixing percentages, averages, ratios, and rates, writing out each step. Good looks like all 10 correct with the setup written down, not just the answer.
3Rule-application drill
Three times a week, take a rule from a practice question, write it in your own words, and apply it to four new cases. Good looks like catching every case that breaks even one condition of the rule.
4Analyst summary drill
Twice a week, read a short report or article and write a three-sentence summary: what the data show, what they suggest, and what should happen next. Good looks like a summary with no claim the source does not support.
5Timed mixed set
Twice a week, do a 25-question timed mixed set from the Staff Analyst question pool. Review every miss the same day and re-drill the topic it came from.
Common mistakes to avoid
- ✕ Reading the wrong column or year in a table: always check the labels before you calculate.
- ✕ Overstating what the data show: a one-year increase is a change, not a trend — say only what the evidence supports.
- ✕ Skipping a condition in a rule: if the rule has three conditions, an answer must pass all three.
- ✕ Confusing a fact with an opinion: a report's recommendation is not the same as its data.
- ✕ Setting the math up wrong: most quantitative misses come from the setup — the wrong base figure or the wrong rate — not from the arithmetic.
- ✕ Choosing the wordiest answer: in written analysis, the clearest and most direct phrasing usually wins.
Exam day strategy
- ✓ On data items, read the table's labels and units before doing any math.
- ✓ Write the rule in your own words on scratch paper before applying it to the choices.
- ✓ On reading items, read the question first so you know what detail to look for.
- ✓ Eliminate the answers that overstate the evidence before choosing between the close ones.
- ✓ Mark hard questions, move on, and return to them at the end.
- ✓ Save a few minutes to check that every question has an answer.
Sample questions
Try these 3 sample questions from the practice bank. The correct answer is marked — read the explanation even when you get one right.
Sample 1 · Mathematics
5 clerks process 600 forms in 4 hours. At the same rate, how many forms can 8 clerks process in 3 hours?
- A.600
- B.660
- C.720 ✓ Correct answer
- D.800
One clerk processes 600 / 5 / 4 = 30 forms per hour. So 8 clerks in 3 hours process 30 x 8 x 3 = 720 forms.
Sample 2 · Logical Reasoning
If the budget is approved, the department will hire three analysts. The budget was not approved. What can be concluded?
- A.The department will definitely hire three analysts
- B.The department will definitely not hire three analysts
- C.Nothing definite can be concluded about hiring ✓ Correct answer
- D.The department will hire two analysts
The statement only says what happens if the budget is approved. If it is not approved, hiring might still happen another way or not at all — the statement alone does not settle it.
Sample 3 · Problem Solving
Two coworkers both need the only conference room at 11:00 AM. One has a client meeting and the other has a team training. What is the best way to resolve this?
- A.Check which meeting cannot be moved, offer the other group an alternate room or time, and confirm the change with both ✓ Correct answer
- B.Let both groups use the room at the same time
- C.Decide by flipping a coin and walk away
- D.Give the room to whoever arrived first and ignore the other person
Comparing urgency and offering an alternative resolves the conflict fairly. First-come-first-served alone ignores which meeting is harder to reschedule.
Official sources
The exam announcement (Notice of Examination) is the final authority for the exam you are taking; check it for the exam number, eligibility, subjects tested, and instructions. DCAS multiple-choice exams generally use a 70% pass mark.
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Important disclaimer
All questions on NYCExamPrep.com are original practice questions written for study purposes. They are not official DCAS questions, and this site is not affiliated with the NYC Department of Citywide Administrative Services (DCAS) or the City of New York.