Basic Ability Test Basic Ability Spatial Reasoning and Visualization 4

Question 1

A figure is rotated 270° clockwise. This is equivalent to a rotation of how many degrees counterclockwise?

Accepted Answer

90°

Answer

270° clockwise equals 360° − 270° = 90° counterclockwise.

Question 2

A cylinder and a cone have the same base radius and height. What is the ratio of the cylinder's volume to the cone's volume?

Accepted Answer

3:1

Answer

The cylinder's volume is πr²h and the cone's is ⅓πr²h, so the ratio is 3:1.

Question 3

If you punch a hole through the center of a folded square piece of paper (folded once), how many holes appear when unfolded?

Accepted Answer

2

Answer

One fold creates two layers, so one hole through both layers produces 2 holes when unfolded.

Question 4

A room is viewed from the left side. You see two windows side by side. Viewed from the right side, how do the windows appear?

Accepted Answer

Side by side but in reversed left-right order

Answer

Viewing from the opposite side mirrors the image, reversing the left-right order of the windows.

Question 5

A square is cut diagonally to create two pieces. Each piece is then arranged to form a new shape. What shape can they form?

Accepted Answer

A triangle

Answer

Two right triangles from a diagonal cut can be arranged into a larger triangle.

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