Spatial Transformations and Paper Folding - General Aptitude - General Aptitude (GA) Previous Year Questions

1

2015 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2015 [Session 1]

For the beam shown below, the stiffness coefficient \(K_{22}\) can be written as

A

\(\frac{6EI}{L^2}\)

B

\(\frac{12EI}{L^3}\)

C

\(\frac{3EI}{L}\)

D

\(\frac{EI}{6L^2}\)

Open complete paper

2

2021 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2021 [Session 2]

The mirror image of the above text about the x-axis is

A

PHYΛΛXΙ2

B

bHΛΓΛXΙ2

C

dHΛΓΛXΙ2

D

bHΛΓΛXΙS

Open complete paper

3

2022 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2022 [Session 2]

An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east.
The ant first turns 72° anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting.
1. moves forward for 10 cm.
2. turns 144° clockwise.
The pattern made by the trace left behind by the ant is

A

PQ = QR = RS = ST = TP = 10 cm (with a pentagon diagram)

B

PQ = QR = RS = ST = TU = UP = 10 cm (with a hexagon diagram)

C

SQ = QT = TR = RP = PS = 10 cm (with a five-point star diagram)

D

SW = WR = RP = PT = TQ = QU = US = 10 cm (with a diagram)

Open complete paper

4

2023 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2023 [Session 2]

Consider a circle with its centre at the origin (O), as shown. Two operations are allowed on the circle.
Operation 1: Scale independently along the x and y axes.
Operation 2: Rotation in any direction about the origin.
Which figure among the options can be achieved through a combination of these two operations on the given circle?

A

Ellipse tilted with major axis along y=x

B

Ellipse tilted with major axis along negative slope

C

Circle rotated

D

Vertical ellipse

Open complete paper

5

2024 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2024 [Session 2]

Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B.
If viewed from direction Y, the planar image of the assembly (Figure A) will appear as

A

B

C

D

Open complete paper

6

2025 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2025 [Session 1]

A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?

A

3

B

4

C

6

D

12

Open complete paper

7

2025 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2025 [Session 1]

The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?

A

B

C

D

Open complete paper

8

2026 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2026

The figure below is supposed to show three non-overlapping shapes – one oval and two triangles. Which one of the following figures P, Q, R, or S fits the missing portion indicated by ‘?’ and completes the oval and the two triangles?

A

P

B

Q

C

R

D

S

Open complete paper

9

2026 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2026

Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?

A

P

B

Q

C

R

D

S

Open complete paper

10

2026 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2026

The next figure (indicated by '?') in the sequence is

A

B

C

D

Open complete paper

11

2026 · General Aptitude (GA) · General Aptitude · Spatial Transformations and Paper Folding

Civil Engineering (CE) 2026

Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?

A

P

B

Q

C

R

D

S

Open complete paper