NYC Logical and Deductive Reasoning 5 — Questions and Answers
Question 1: Statements: 'No firearms are permitted in court without authorization. Detective Mills brought a firearm into court.' What must be true?
- Detective Mills violated the rule
- Detective Mills had authorization (Correct answer)
- Detective Mills is not subject to this rule
- The firearm was unloaded
Correct answer: Detective Mills had authorization
Since no firearms are permitted without authorization and Mills brought one in, Mills must have had authorization — otherwise a violation occurred; the only valid logical conclusion consistent with both statements is that authorization existed.
Question 2: A test has four sections: Math, Reading, Writing, and Reasoning. Candidates must pass Math before taking Writing. A candidate passed Writing. What must be true?
- The candidate passed Reading
- The candidate passed Math (Correct answer)
- The candidate is exempt from Reasoning
- The candidate took Math after Writing
Correct answer: The candidate passed Math
Passing Math is a prerequisite for Writing; since the candidate passed Writing, they must have passed Math.
Question 3: Three analysts — P, Q, R — each specialize in exactly one area: Finance, Operations, or HR. P does not specialize in Finance. Q specializes in HR. What does R specialize in?
- Finance (Correct answer)
- Operations
- HR
- Cannot be determined
Correct answer: Finance
Q takes HR; P cannot take Finance, so P takes Operations; that leaves Finance for R.
Question 4: Policy: 'Grievances submitted without a supervisor signature are returned unprocessed.' A grievance arrives without a supervisor signature. What happens?
- It is processed with a note
- It is held pending a signature
- It is returned unprocessed (Correct answer)
- A supervisor is automatically notified to sign
Correct answer: It is returned unprocessed
The policy is explicit: missing signature means the grievance is returned unprocessed.
Question 5: A logical sequence: 2, 5, 10, 17, 26, ___. What is the next number?
- 33
- 35
- 37 (Correct answer)
- 39
Correct answer: 37
The differences are 3, 5, 7, 9, 11 — consecutive odd numbers — so 26 + 11 = 37.
Question 6: An agency processes applications in batches of 10. Each batch takes 4 hours. An agent processes 3 batches per day. How many applications does the agent process in a 5-day work week?
- 100
- 120
- 150 (Correct answer)
- 200
Correct answer: 150
3 batches/day × 10 applications/batch × 5 days = 150 applications.
Question 7: Statement: 'Either the budget is approved or the project is cancelled. The project was not cancelled.' What must be true?
- The budget may or may not be approved
- The budget was approved (Correct answer)
- A new project was started
- The budget will be reviewed again
Correct answer: The budget was approved
In an 'either/or' statement, if one option is false (project not cancelled), the other must be true (budget approved).
NYC Logical and Deductive Reasoning 5
Statements: 'No firearms are permitted in court without authorization.
Detective Mills brought a firearm into court.' What must be true?