Civil Service Study Notice: These questions are original educational practice materials designed to mirror the formats, cognitive standards, and administrative reasoning tested in NYC civil service competitions. They are not actual past DCAS examination questions. NYCExam is an independent educational prep resource not affiliated with DCAS or the City of New York.
Practice Tests
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Question 1 of 10
Multiple Choice (Single Answer)
Mental Rotation Problem:
Imagine a standard capital letter 'L'.
1. Rotate the letter 'L' 90 degrees clockwise.
2. Now flip it horizontally (mirror image across a vertical axis).
What does the resulting shape look like?
Question 2 of 10
Multiple Choice (Single Answer)
3D Cube Net Folding:
Imagine a flat cardboard cross pattern composed of 6 squares arranged as a cube net:
- A central vertical column of 4 squares (labeled Top to Bottom: 1, 2, 3, 4).
- Two side wings attached to Square 2 (Square A on the left, Square B on the right).
When this flat net is folded along all lines into a hollow closed cube, which square will be on the face directly OPPOSITE Square 2?
Question 3 of 10
Multiple Choice (Single Answer)
Cross-Section Analysis:
A solid wooden cylinder has a diameter of 6 inches and a height of 10 inches. If this cylinder is sliced cleanly in half by a flat plane that is strictly PERPENDICULAR to its circular base (a vertical slice down the exact center axis), what is the geometric shape of the exposed cross-section?
Question 4 of 10
Multiple Choice (Single Answer)
Paper Folding and Hole Punching:
1. A square sheet of paper is folded in half from left to right.
2. The folded paper is then folded in half from top to bottom, creating a smaller square 1/4 the original size.
3. A single round hole is punched through the exact center of this small folded square.
When the paper is completely unfolded back to its original full size, how many holes will appear, and where will they be located?
Question 5 of 10
Multiple Choice (Single Answer)
Orthographic Top-Down Projection:
A 3D object consists of a rectangular base block on the floor. In the exact center of the top face of the block sits an upright pyramid with a square base.
When viewing this assembly directly from above (plan view / top view), what geometric figure is visible?
Question 6 of 10
Multiple Choice (Single Answer)
Spatial Shape Assembly:
Which 2D geometric shape can be formed by joining two identical right-angled isosceles triangles along their common hypotenuse?
Question 7 of 10
Multiple Choice (Single Answer)
Reflective Mirror Imagery:
Imagine the number string '704' printed in black font on a clear glass window.
If you walk around to the opposite side of the window and look back at the string, what will you see?
Question 8 of 10
Multiple Choice (Single Answer)
Solid Cube Surface Painting:
A large 3 × 3 × 3 cube is constructed from 27 identical small unit cubes. The entire exterior surface of the large cube is painted red. The large cube is then disassembled into the 27 individual unit cubes.
How many of the small unit cubes will have paint on EXACTLY ONE of their faces?
Question 9 of 10
Multiple Choice (Single Answer)
Hidden / Overlapping Block Count:
A stack of identical cubic bricks rests on a flat floor against a wall. The visible layout shows:
- Bottom layer: 3 rows of 3 bricks each (3 × 3 square base).
- Middle layer: A 2 × 2 square of bricks centered on the bottom layer.
- Top layer: 1 single brick in the center.
Assuming the stack has no empty voids beneath upper blocks, what is the total number of bricks in the entire stack?
Question 10 of 10
Multiple Choice (Single Answer)
Mental Object Transformation:
A flat disc has its top half colored dark blue and its bottom half colored bright yellow. If the disc is rotated 180 degrees counter-clockwise in its flat plane, where will the dark blue half be located?
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About Visualization
Visualization is the ability to imagine how an object or pattern will look after it is moved, rotated, folded, or disassembled. Tested in technical, clerical, engineering, and maintenance examinations, questions challenge candidates to fold cube nets, determine orthographic projections, track mirrored shapes, and calculate painted surfaces without physical models.
Exam Day Strategies
Rely solely on provided facts: Do not use outside assumptions or personal experience. If a rule is stated in the prompt, treat it as absolute.
Watch for qualifying words: Pay close attention to words like always, never, unless, mandatory, and except.
Pace yourself evenly: Civil service tests allocate approximately 1.5 to 2 minutes per question. Flag difficult questions and return later.
Verify all answer choices: Eliminate clearly contradicted options first before making your final selection.
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