JEE Advanced 2023 AAT Question Paper PDF (Available)

Step 1: Understanding the rotation transformation.

- A 270° clockwise rotation is equivalent to a 90° counterclockwise rotation.

- The shape and orientation of the elements must match after the transformation.


Step 2: Comparing the given options.

- Observing the transformation, OPTION 3 matches the correct rotated orientation.


Thus, the correct answer is option C (OPTION 3). Quick Tip: For rotational transformations, break down the rotation into smaller steps and track key reference points to identify correct orientation.

Step 1: Understanding tensile structures.

- Tensile structures require materials that can withstand tension without breaking.


Step 2: Analyzing the given materials.

- Steel is highly ductile and strong in tension, making it ideal for tensile structures.

- Brick, marble, and glass are primarily brittle and not suited for tensile applications.


Thus, the correct answer is option C (Steel). Quick Tip: Tensile structures require materials with high tensile strength, such as steel cables or fabric membranes, to withstand external forces effectively.

Step 1: Understanding the colouring problem.

- This is a graph colouring problem, where each triangle is a node.

- The goal is to minimize colours while ensuring no two adjacent triangles share the same colour.


Step 2: Applying the four-colour theorem.

- For a planar tiling of this type, at most four colours are required to ensure no adjacent regions share the same colour.



Thus, the correct answer is option B (4). Quick Tip: Graph colouring problems often use the Four-Colour Theorem, which states that any planar map can be coloured using at most four colours.

Step 1: Verifying Statement P.

- The CMYK colour model is used in printing.

- Cyan (C), Magenta (M), Yellow (Y), and Black (K) are the four components.

- The letter 'K' stands for black, making Statement P TRUE.


Step 2: Verifying Statement Q.

- In the RGB (Red, Green, Blue) colour model, combining Red and Green produces Yellow.

- This is a property of additive colour mixing, making Statement Q TRUE.


Thus, the correct answer is option D (Both P \& Q are TRUE). Quick Tip: CMYK is a subtractive colour model used in printing, while RGB is an additive model used in digital screens.

Step 1: Understanding the term ‘Garbha-Griha’.

- The garbha-griha (meaning ‘sanctum sanctorum’) is the innermost shrine in Hindu temples, where the main deity is placed.


Step 2: Analyzing the given options.

- Sanchi Stupa is a Buddhist monument (not a Hindu temple).

- Jama Masjid is an Islamic mosque (does not have a garbha-griha).

- Church of St. Francis of Assisi is a Christian church.

- Puri Jagannath Temple is a Hindu temple and has a garbha-griha.


Thus, the correct answer is option D (Puri Jagannath Temple, Odisha). Quick Tip: A garbha-griha is always found in Hindu temples, serving as the sacred core where the deity resides.

Step 1: Understanding the perspective view.
- A top-down view of the building will show its plan shape rather than its height.

Step 2: Comparing the options.
- Observing the given perspectives, OPTION 3 correctly represents the shape of the building as seen from above.

Thus, the correct answer is option C (OPTION 3). Quick Tip: When determining perspective views, focus on the shape of the object's plan rather than its elevation.

Given:

The tetrahedron is regular (all edges are equal).
The circumradius \( R \) of the base is given as \( 4\sqrt{3} \) m.
We need to find the volume of the tetrahedron.


\subsection*{Step 1: Relation between Circumradius and Side Length
For a regular tetrahedron, the circumradius \( R \) of its base (which is an equilateral triangle) is related to the side length \( a \) by:
\[ R = \frac{a}{\sqrt{3}} \]

Substituting \( R = 4\sqrt{3} \):
\[ 4\sqrt{3} = \frac{a}{\sqrt{3}} \]

Multiplying both sides by \( \sqrt{3} \), we get:
\[ a = 12 \]

\subsection*{Step 2: Volume of a Regular Tetrahedron
The volume of a regular tetrahedron is given by the formula:
\[ V = \frac{a^3}{6\sqrt{2}} \]

Substituting \( a = 12 \):
\[ V = \frac{12^3}{6\sqrt{2}} \]
\[ V = \frac{1728}{6\sqrt{2}} \]
\[ V = \frac{288}{\sqrt{2}} \]

Rationalizing the denominator:
\[ V = \frac{288\sqrt{2}}{2} = 144\sqrt{2} \]

\subsection*{Final Answer: \[ \boxed{144\sqrt{2}} \quad (Option D) \] Quick Tip: For a regular tetrahedron, the volume formula can be derived using its circumradius relation.

Step 1: Understanding types of light.

- Infrared refers to electromagnetic radiation beyond the visible spectrum.

- Halogen light is a type of incandescent light using halogen gas.

- Fluorescent light is a low-pressure mercury vapor gas-discharge lamp.


Step 2: Identifying the incorrect term.

- Supersonic refers to speeds faster than the speed of sound, not a type of light.


Thus, the correct answer is option D (Supersonic). Quick Tip: Types of light include natural (visible, infrared, ultraviolet) and artificial (halogen, fluorescent, LED). Supersonic relates to sound, not light.

Step 1: Understanding the logical symmetry order.

- The given figures represent different types of symmetry (bilateral, rotational, reflectional, etc.).

- The logical order follows the progression of symmetry complexity.


Step 2: Identifying the correct sequence.
- Arranging based on symmetry transformations, option 1-2-3-4-5 follows a structured order.

Thus, the correct answer is option B (1-2-3-4-5). Quick Tip: When arranging figures in a sequence, look for progressive changes in symmetry, complexity, or structure.

Step 1: Understanding conic section intersections.

- When a plane cuts a cone at different angles, it generates different types of conic sections.

- The key conic sections:

- Elliptical (plane cuts at an acute angle).

- Parabolic (plane cuts exactly parallel to the cone’s slope).

- Hyperbolic (plane cuts at an obtuse angle).


Step 2: Analyzing the given figures.

- Figure 1 (85° cut): Elliptical section.

- Figure 2 (90° cut): Parabolic section.

- Figure 3 (95° cut): Hyperbolic section.


Thus, the correct answer is option A (1-Elliptical, 2-Parabolic, 3-Hyperbolic). Quick Tip: Conic sections depend on how a plane cuts a cone: acute cuts form ellipses, parallel cuts form parabolas, and obtuse cuts form hyperbolas.

Step 1: Understanding prestigious awards.

- Golden Globe is awarded for excellence in film and television.

- Pulitzer Prize is awarded for achievements in journalism, literature, and music.

- Field Medal is awarded for excellence in mathematics.

- Pritzker Prize is awarded for excellence in architecture.


Step 2: Identifying the correct award for architecture.

- Pritzker Prize is considered the Nobel Prize of Architecture.


Thus, the correct answer is option D (Pritzker Prize). Quick Tip: The Pritzker Prize is one of the highest honors in architecture, recognizing outstanding contributions to the field.

Step 1: Understanding the geometric elements.

- Dome: A three-dimensional hemispherical structure.

- Arch: A curved structure that spans an opening.

- Vault: An arched ceiling or roof, often extending in depth.


Step 2: Identifying the correct sequence.

- Figure 1 represents a Dome (hemispherical shape).

- Figure 2 represents an Arch (single curved span).

- Figure 3 represents a Vault (extended arch).


Thus, the correct answer is option B (1-Dome, 2-Arch, 3-Vault). Quick Tip: Domes are often used in monumental buildings, arches in doorways, and vaults in ceilings to provide structural integrity.

Step 1: Understanding reverberation control.

- Reverberation time refers to how long sound persists in an enclosed space after the source stops.

- Absorbent materials such as fabric, carpets, and acoustic panels reduce reverberation.


Step 2: Analyzing the statements.

- Statement P is TRUE: Absorbent materials (e.g., acoustic panels) reduce reverberation.

- Statement Q is FALSE: Glass and metal are reflective, increasing reverberation rather than reducing it.

- Statement R is TRUE: Rough-textured surfaces help diffuse and absorb sound, reducing reverberation.


Thus, the correct answer is option B (Statements P \& R are true, but Statement Q is false). Quick Tip: Sound-absorbing materials (e.g., fabric panels) help reduce echo, while reflective materials (e.g., glass, metal) increase reverberation.

Step 1: Identifying the missing piece.

- Observing the shape and pattern of the broken ceramic tile, the missing piece must fit perfectly into the empty grey section.


Step 2: Comparing the given options.

- Among Options 1, 2, 3, and 4, OPTION 3 has the exact shape and pattern alignment required to complete the broken tile.


Thus, the correct answer is option C (OPTION 3). Quick Tip: When solving pattern-matching problems, focus on edge alignments, shape congruency, and pattern continuity.

Step 1: Identifying B. V. Doshi’s architectural works.

- B. V. Doshi is a renowned Indian architect known for his institutional and sustainable designs.

- He was involved in the design of IIM Ahmedabad and IIM Bangalore.


Step 2: Verifying the given options.

- NIFT New Delhi and NIFT Hyderabad were not designed by B. V. Doshi.


Thus, the correct answer is option A (1 \& 2). Quick Tip: B. V. Doshi is celebrated for designing iconic educational institutions like IIM Bangalore and CEPT University.

Step 1: Identifying the temple structures.

- Different temples have distinct architectural styles based on their regions and traditions.


Step 2: Matching them with the given names and locations.

- Temple (A) matches Jambukesvara Temple based on its Dravidian-style architecture.

- Temple (B) is Temple of Lalji, known for its Bengal temple architecture.

- Temple (C) is Hidimba Temple, which follows traditional Himachali wood architecture.

- Temple (D) represents Sun Temple, Konark, famous for its chariot-like structure.

- Temple (E) resembles Badrinath Temple, known for its pagoda-style architecture.


Thus, the correct matching is provided. Quick Tip: Indian temple architecture varies across regions, primarily classified as Nagara (North), Dravidian (South), and Vesara (hybrid).

• (A) - (P) Jaipur, Rajasthan
• (B) - (S) Kolkata, West Bengal
• (C) - (U) Hyderabad, Telangana
• (D) - (Q) Chennai, Tamil Nadu
• (E) - (R) near Aurangabad, Maharashtra

Quick Tip: Many forts in India are historically significant and were built by different dynasties for strategic defense and governance.

• (A) - (T) Andhra Pradesh & Telangana
• (B) - (U) Rajasthan
• (C) - (P) Odisha & West Bengal
• (D) - (R) Maharashtra
• (E) - (S) Jammu & Kashmir

Quick Tip: Traditional Indian folk arts reflect the regional culture, history, and mythology, often passed down through generations.

Step 1: Understanding the folding process.

- The 20 cm × 20 cm paper is folded in half three times:

- First fold: 10 cm × 20 cm.

- Second fold: 10 cm × 10 cm.

- Third fold: 5 cm × 10 cm.

- The cutting pattern is made on the smallest folded section.


Step 2: Identifying the symmetry.

- Since the paper was folded and then cut symmetrically, the final pattern is repeated across all four quadrants.

- The cut shapes are mirrored in all folded sections.


Step 3: Drawing the folded shape on the blank grid.
- The final unfolded pattern (shown in the first figure) helps infer the shape of the folded section where cuts were made.
- Hatching must be used to indicate cutout sections.

Thus, students should replicate the folded shape on the blank grid and hatch the cut-out areas. Quick Tip: When solving paper-folding problems, analyze symmetry, count the folds, and visualize mirrored patterns before making cuts.

Step 1: Understanding orthographic projections.

- Top view shows a 6×6 square.

- Front view shows a circular silhouette with radius 3 units.

- Right-side view shows a plus-shaped projection with symmetric extensions.


Step 2: Converting orthographic views to an isometric projection.

- The top silhouette provides the overall boundary of the object.

- The front and side silhouettes provide height, shape, and depth details.

- Combining these three views helps reconstruct the 3D isometric projection.


Step 3: Drawing on the isometric grid.

- Use the given triangular isometric grid to visualize depth and align dimensions.

- Represent the solid form by combining the extracted shape from each view. Quick Tip: When drawing isometric views, align the dimensions with the isometric grid, ensuring all features from orthographic projections are accurately represented.

Step 1: Understanding the projection principle.

- The example figure shows how a light source at 30° casts a shadow of a vertical plane onto a horizontal plane.

- The shadow is proportional to the object’s height and orientation.


Step 2: Applying the principle to the star-shaped plate.

- The star-shaped plate is attached to a vertical frame, meaning its shadow will be projected onto the horizontal plane below.

- The shadow will maintain the star shape but will appear distorted based on the 30° projection angle.


Step 3: Drawing the shadow on the horizontal plane.

- Extend projection lines from the outermost points of the star shape at a 30° angle downward.

- Maintain proportional scaling to ensure the correct transformation from 3D to the 2D shadow. Quick Tip: When drawing shadows in perspective, maintain the correct projection angles and visualize how light interacts with surfaces.

Step 1: Understanding sectional views.

- The section plane X-X’ indicates a cut along the object to reveal its internal features.

- Sectional views provide detailed internal structures, helping to interpret how components are arranged.


Step 2: Extracting details from the given views.

- The plan view gives the top layout.

- The front and rear isometric views provide depth and height dimensions.

- By aligning these, the sectional elevation can be constructed on the provided grid.


Step 3: Drawing the sectional elevation on the grid.

- Identify the cut features and represent them with hatching lines.

- Maintain correct proportions and alignments as per the provided dimensions. Quick Tip: When drawing sectional views, always align the features with the cutting plane and use hatching to indicate solid sections.

Step 1: Understanding the surface development diagram.

- The solid lines indicate cuts, while the dashed lines indicate folds.

- This represents the unfolded layout of a 3D object.


Step 2: Converting surface development into an isometric view.

- Fold the dashed sections to form the 3D shape.

- Identify faces and edges that will be visible from view “C”.

- Draw the folded shape using the isometric grid, ensuring alignment and perspective accuracy.

Step 3: Drawing on the isometric grid.

- Use the isometric projection to represent the final folded shape.

- Ensure proportions match the given dimensions. Quick Tip: When converting a surface development to an isometric view, visualize how each folded section aligns with others in 3D space.

Step 1: Understanding perspective drawing.

- The observer’s position is marked in both plan and elevation, indicating the viewpoint.

- Perspective projection must be drawn from this viewpoint.


Step 2: Constructing the perspective view.

- Identify the vanishing points based on the structure’s orientation.

- Project the visible faces of the structure using perspective principles.

- Maintain proportions and ensure that depth perception follows perspective guidelines.


Step 3: Drawing the perspective view.

- Draw receding lines from the edges toward vanishing points.

- Ensure parallel elements converge correctly in perspective.

- Include depth details and sectional elements visible from the observer’s angle. Quick Tip: When drawing perspective views, use vanishing points to guide receding edges and maintain proportional scaling.

Step 1: Understanding the theme of the event.

- The event "Janajati Gaurav Divas" focuses on empowering tribal communities.

- The artwork should reflect tribal life, culture, traditions, and environment.


Step 2: Designing the artwork on the bag.

- Consider tribal patterns, symbols, traditional huts, forests, and lifestyle depictions.

- Use geometric designs inspired by tribal art (e.g., Warli, Gond, Madhubani).

- Ensure the composition complements the given bag space.


Step 3: Executing the drawing.

- Use pencil or pen to sketch the tribal artwork.

- Colouring is optional, but earthy tones (brown, green, red) enhance the tribal aesthetic. Quick Tip: When designing tribal-inspired artwork, research traditional tribal motifs and patterns to create an authentic and meaningful composition.

Step 1: Understanding Rangoli/Kolam.

- Kolam/Rangoli is a decorative art form created with coloured powders, rice, or flowers.

- These patterns are symmetrical and are drawn during festivals like Diwali, Pongal, and Sankranti.


Step 2: Choosing festive colours.

- Use bright colours like red, yellow, green, blue, and orange to enhance the floral and symbolic elements.

- Traditional white outlines can be maintained for contrast.


Step 3: Colouring the pattern.

- Fill floral motifs with shades of pink, orange, and red.

- Use green for the sugarcane stalks.

- The pots (Kalash) can be shaded in golden yellow and brown.

- Ensure symmetry and balance in colouring for an aesthetic effect.
Quick Tip: Traditional Kolam/Rangoli patterns symbolize prosperity and positivity. Use bright colours to enhance the festive look.

Step 1: Understanding the brand theme.

- The name ‘SOLARIS’ suggests solar energy, sustainability, and technology.

- The logo should reflect solar panels, the sun, or clean energy concepts.


Step 2: Choosing geometric shapes and colours.

- Use circles, triangles, and grids to depict the sun, solar rays, and panels.

- The colour scheme should include yellow, orange, blue, and green to symbolize solar energy and sustainability.


Step 3: Developing the logo on the grid.

- Position the solar panel design using geometric patterns.

- Add a stylized sun or energy symbol to reinforce the solar theme.

- Ensure symmetry and modern aesthetics for a clean and professional look. Quick Tip: For solar energy branding, use geometric sun motifs, clean grid structures, and bright, energetic colours like yellow and blue. 

Step 1: Understanding the form of an electric kettle.

- Identify the key components:

- Body (usually cylindrical or conical).

- Handle (ergonomically curved for grip).

- Lid (detachable or hinged).

- Spout (angled for pouring).

- Base (electrical connection point).


Step 2: Using shading and textures.

- Apply gradient shading to represent metallic finishes.

- Use cross-hatching or stippling to differentiate plastic and metal textures.

- Shadows should be aligned with a single light source to enhance realism.


Step 3: Drawing proportions correctly.

- Ensure the spout and handle are symmetrically aligned.

- The base should be circular with perspective corrections.

- Add minor details like buttons, water level indicators, or brand labels. Quick Tip: When sketching products, start with basic geometric shapes, refine the details, and apply shading for realistic depth.

Step 1: Understanding kitchen perspective.

- The reference lines indicate a one-point perspective, guiding depth perception.

- Essential kitchen elements include:

- Cabinets and shelves

- Countertops and storage

- Sink and stove

- Windows and lighting


Step 2: Sketching key components.

- Use vertical and horizontal guidelines to place cabinets and appliances.

- Ensure correct proportions for a realistic interior view.

- Add handles, textures, and shading to highlight depth.


Step 3: Applying shading and detailing.

- Use hatching and cross-hatching for surfaces.

- Shadows should follow the light source direction.

- Keep the layout functional and aesthetically balanced. Quick Tip: For interior sketches, follow perspective lines carefully and ensure proportional placement of furniture and fixtures.

Step 1: Identifying key elements of a playground.

- Common playground structures include:

- Swings

- Slides

- Seesaws

- Jungle gyms/climbing structures

- Sandbox areas


Step 2: Adding children and interaction.

- Depict children actively using the equipment, ensuring scale accuracy.

- Illustrate movement, such as a child sliding down or swinging.


Step 3: Using shading and depth.

- Apply light shading to create depth and define different materials.

- Ensure the playground environment is detailed with grass, trees, and pathways. Quick Tip: When sketching a playground, use dynamic poses to show children in motion and ensure correct proportions of play structures.