GATB - General Aptitude Test Battery Spatial Aptitude Questions and Answers — Questions and Answers
Question 1: An assembly technician is looking at a technical drawing for a machine part, shown on the left. Which of the 3D objects on the right (A, B, C, or D) correctly represents the part from the drawing when viewed from the perspective indicated by the arrow?
- Object A
- Object B
- Object C (Correct answer)
- Object D
Correct answer: Object C
Object C is the correct representation. The top-down view shows a rectangular base with a smaller rectangular block on top, shifted to the right. The front view shows the height of both the base and the top block. The side view (from the left) shows the widths are the same. Object C is the only 3D object that matches all three 2D projections shown in the technical drawing.
Question 2: Imagine the 2D pattern shown is folded along the dotted lines to form a cube. Which of the given cubes could be formed?
- Cube A
- Cube B (Correct answer)
- Cube C
- Cube D
Correct answer: Cube B
When the pattern is folded, the circle is opposite the square. The triangle and the star are adjacent to the circle. Cube B correctly shows the triangle and star faces adjacent to the circle face, with the correct orientation relative to each other. Cube A is incorrect because the triangle and square cannot be adjacent. Cube C shows an incorrect orientation of the triangle relative to the circle. Cube D is incorrect because the circle and square cannot be adjacent.
Question 3: Which of the following figures is a rotation of the original figure on the left? (Note: It is not a mirror image).
- Figure A
- Figure B
- Figure C
- Figure D (Correct answer)
Correct answer: Figure D
Figure D is the only option that is a direct rotation of the original figure. Figures A and B are mirror images (reflections). Figure C has altered the internal components' positions relative to each other, making it a different object entirely. By mentally rotating the original figure, you can match it to the orientation shown in Figure D.
Question 4: All the cubes in the stack below are of the same size. How many cubes are in the stack, including those that are hidden from view?
- 12
- 14
- 15 (Correct answer)
- 17
Correct answer: 15
To find the total, count the cubes in each column from the bottom up. The back column has 3 cubes. The middle-left column has 3 cubes. The middle-right column has 2 cubes. The front-left column has 2 cubes. The three single cubes in the front and on the right make up the rest. Total = 3 + 3 + 2 + 2 + 1 + 1 + 3 = 15. Alternatively, count by layers: Bottom layer has 7 cubes (a 3x3 square with two corners missing). Middle layer has 5 cubes. Top layer has 3 cubes. 7 + 5 + 3 = 15.
Question 5: If the two shapes on the left were combined, which of the resulting figures on the right could be formed? The shapes can be rotated but not resized or overlapped.
- Figure A (Correct answer)
- Figure B
- Figure C
- Figure D
Correct answer: Figure A
Figure A can be formed by rotating the trapezoid piece 90 degrees clockwise and placing its longest side against the longest side of the L-shaped piece. The other figures cannot be formed using the exact two shapes provided without overlapping or leaving gaps.
Question 6: Which of the answer choices is the correct mirror image of the figure shown on the left across the vertical dashed line?
- Image A
- Image B
- Image C
- Image D (Correct answer)
Correct answer: Image D
A mirror image reflects the object horizontally. The arrow pointing up and to the left in the original will point up and to the right in the reflection. The letter 'R' will be reversed. The shaded corner at the bottom right will be at the bottom left. Image D is the only option that correctly reflects all these elements.
GATB - General Aptitude Test Battery Spatial Aptitude Questions and Answers
An assembly technician is looking at a technical drawing for a machine part, shown on the left.
Which of the 3D objects on the right (A, B, C, or D) correctly represents the part from the drawing when viewed from the perspective indicated by the arrow?