ParaProfessional / Clerical civil service tests (state & local) Reasoning & Problem Solving Syllabus

In a cause-and-effect chain, what distinguishes the immediate cause from the root cause?

The immediate (proximate) cause is the event directly preceding the effect; the root (ultimate) cause is the underlying origin that set the chain in motion.

What is reverse causation as a reasoning error?

Concluding A causes B when in fact B causes A (the direction of the cause-effect relationship is backward).

What is the common difference in an arithmetic number sequence, and how is the next term found?

The common difference is the constant amount added between consecutive terms. Find the next term by adding that difference to the last term (e.g., 3, 7, 11, 15 → +4 → 19).

What is the common ratio in a geometric number sequence, and how is the next term found?

The common ratio is the constant multiplier between consecutive terms. Multiply the last term by it to get the next (e.g., 2, 6, 18, 54 → ×3 → 162).

How do you continue the Fibonacci-type sequence 1, 1, 2, 3, 5, 8, ...?

Each term is the sum of the two preceding terms, so the next is 8 + 5 = 13, then 21, etc.

In the sequence 1, 4, 9, 16, 25, ..., what is the pattern and the next term?

They are perfect squares (1², 2², 3², 4², 5²); the next term is 6² = 36.

What pattern governs 2, 4, 8, 16, 32, ... and what comes next?

Each term doubles (powers of 2); the next term is 64.

When the differences between terms are not constant, what is the next step in analyzing a numeric pattern?

Examine the second-level differences (the differences of the differences) or test for multiplication/alternating operations—a constant second difference signals a quadratic pattern.

In 5, 10, 9, 14, 13, 18, ..., what kind of pattern is this and what comes next?

An alternating pattern: +5 then −1 repeating. After 18 comes 17 (18 − 1).

How do you find the position of a letter when solving letter-sequence problems?

Convert letters to their alphabet position numbers (A=1, B=2, ... Z=26), find the numeric step, then convert back to letters.

In the letter series A, C, E, G, ..., what is the rule and the next letter?

Skip one letter each time (+2 positions); after G comes I.

In the series Z, X, V, T, ..., what is the rule and the next letter?

Move backward through the alphabet by 2 each time; after T comes R.

How do you handle a letter sequence that runs past Z?

Wrap around to the start of the alphabet (after Z comes A), treating the alphabet as a 26-letter cycle (modular counting).

In a mixed series like A1, B2, C3, ..., what is the structure and the next term?

Two interleaved sequences—letters advancing by 1 and numbers advancing by 1; the next term is D4.

What is the general strategy for solving a mixed (alphanumeric) series completion problem?

Separate the letters and the numbers (and any symbols) into independent sub-series, find each sub-series' rule, then recombine to predict the next term.

In the series 2A, 4C, 6E, 8G, ..., what comes next?

10I. Numbers increase by 2 (2,4,6,8→10) and letters skip one (A,C,E,G→I).

What is the first rule for following multi-step written directions accurately?

Read all the directions completely before acting, and perform the steps strictly in the stated order, noticing words like 'first,' 'then,' 'before,' 'after,' and 'unless.'

Why are conditional words such as 'if,' 'unless,' and 'except' critical when following written directions?

They change which step applies. Missing a condition causes you to perform a step that should be skipped (or skip one you should do), producing the wrong result.

When directions say 'Do step 3 only if you did NOT do step 2,' how do you proceed?

Check whether step 2 was actually performed; perform step 3 only when step 2 was skipped. The two steps are mutually exclusive.

In direction-following items, what should you do when a step refers to the 'result of the previous step'?

Carry forward the exact output of the prior step as the input to the next, tracking the running value carefully at each stage rather than reusing the original starting value.

When applying eligibility rules, what is the difference between requirements joined by 'AND' versus 'OR'?

'AND' requires every listed condition to be met; 'OR' requires at least one. An applicant fails an 'AND' list by missing any single criterion.

How should you handle the word 'unless' in an eligibility rule (e.g., 'eligible unless under 18')?

'Unless' introduces an exception that disqualifies. Treat it as 'is NOT eligible if' the condition is true—so an under-18 applicant is ineligible.

When classifying an item under a set of rules, what should you do if it meets the conditions for more than one category?

Apply the priority/order rules given (often the first matching or most specific rule wins); if no priority is stated, the item may belong to all matching categories—follow the instructions exactly.

What is the systematic method for testing whether a person qualifies under multiple eligibility criteria?

Check each criterion one at a time against the person's facts; if any required ('AND') criterion fails, stop—they are ineligible. Only when all required criteria pass is the person eligible.

What is a decision table and how is it read?

A table that maps combinations of conditions (inputs) to required actions (outputs). You read it by matching the row/column of conditions that fit the case, then taking the action listed for that combination.

When reading a chart to answer a question, what should you check first?

The title, axis labels, units, legend/key, and scale—so you interpret the numbers correctly before locating the specific data point.

On a chart, how do you find the intersection value for a given row and column in a data table?

Trace across the chosen row and down the chosen column; the cell where they meet gives the value for that condition combination.

In a decision table, what does it mean when a cell is marked with a dash or 'N/A'?

That condition is irrelevant ('don't care') for that rule—the action applies regardless of that condition's value.

What is mental rotation in spatial reasoning?

Imagining how a 2-D or 3-D object would look when turned to a different orientation, used to match a rotated figure to the original.

In spatial reasoning, what is a 'net' of a cube or box?

A flat (unfolded) 2-D pattern of connected squares/rectangles that folds up into the 3-D solid; you must visualize which faces become adjacent or opposite when folded.

How can you identify the mirror image (reflection) of a figure versus a rotation?

A reflection reverses orientation (like a mirror—left and right are swapped) and cannot be obtained by rotating the original in the plane; a rotation preserves the figure's handedness.

In figure-series (visual analogy) problems, what is the general solving strategy?

Identify what changes from one figure to the next—rotation, reflection, shading, size, number of elements, or position—then apply that same transformation to predict the next figure.