Skip to content
PRODUCTS
Ensemble business applications
Asset Management
Workforce Management
Fleet Management
Atlas
Smart Portal
Ensemble business suites
Smart Grid Management
Energy Operations
Facility Management
Field Operations Management
FloodSmart
Fisheries Management
Telecom Networks
Esri GIS
Overview
INDUSTRIES
Energy and Utilities
Public Sector
Transport and Logistics
Telecom and Media
Safety and Defence
Food and Agriculture
Manufacturing and Processing
Finance
Retail and Wholesale
Tourism and Hospitality
Construction
RESOURCES
News
Events
Success Stories
Training
Support
COMPANY
Overview
Life at GDi
Careers
Contact us
CONTACT
English
Croatian
Macedonian
Serbian
Slovenian
GDi Challenge questions
2018-03-26T11:30:24+02:00
Interested in joining
the GDi team ?
then find solutions to the problems below
Home
»
GDi Challenge questions
»
We are always interested in meeting talented people who are looking for a rewarding and exciting career in software development.
Study the questions below and submit your answers using the form.
Get questions in PDF format
Please enter your details
Name
*
First
Last
E-mail
*
Current position
*
student
employed
other
What is your current position / status?
Please answer the questions below.
Question 1
With the aim of promoting tourism, the county has chosen 32 interesting tourist routes. The first one is 1km long, the second is 2km long… and the 32nd is 32km long. The county wants its two electric vehicles to travel along all these interesting tourist routes. Each of the routes needs to be covered just once by either one of the two vehicles.
Calculate the number of possible ways that this can be achieved if we want both vehicles to travel an equal amount of total kilometers on these roads?
Example: if the county has only 7 tourist routes (with lengths of 1km, 2km… to 7km), vehicles A and B would be able to travel along them in 4 different ways if the vehicles travel the same total number of kilometers: A(1, 6, 7) B(2, 3, 4, 5); A(2, 5, 7) B(1, 3, 4, 6); A(3, 4, 7) B(1, 2, 5, 6); A(1, 2, 4, 7) B(3, 5, 6)
Answer 1 - number of solutions
Please enter a number greater than or equal to
0
.
Question 2
In a square of size 4 x 4, odd numbers from 1 to 31 have to be entered.
In how many ways is it possible to achieve this if the sums of all the rows and columns of the square are to be equal?
(combinations that can be obtained by rotation or mirroring also count as different ways)
Answer 2 - number of solutions
Please enter a number greater than or equal to
0
.
Question 3
A wheel, with radius of 25cm, is on a horizontal surface. The point where the wheel is touching the surface is T. The wheel rotates without slipping a full turn, so point T is now touching the surface again. What is the length of the path that point T has travelled?
Answer 3 - length of path in cm
Please enter a number greater than or equal to
0
.
Question 4
A container has the shape of a regular vertical hexagonal prism. The base is a regular hexagon with side a = 5.58 cm and the container height h = 7.54 cm.
Calculate the number of balls the container will hold if the ball diameter d = 1 cm.
Answer 4 - number of balls
Please enter a number greater than or equal to
0
.
Question 5
On a square are drawn additional lines that link adjacent sides (as shown in the diagram).
Determine the surface area of the 'empty area' inside the square if the square has dimensions 32 x 32.
A much more difficult task is to calculate the ratio of the surface area of the 'empty area' to the surface area of the square when n is infinite.
Example: For a square of size 6 x 6 are, the surface area of the central 'empty area' inside the square is 16.
Answer 5 - surface area of empty area
Please enter a number greater than or equal to
0
.
Answer 5 - ratio of surface area of empty area to surface area of square (n x n and n is infinite)
Please enter a number greater than or equal to
0
.
Question 6
What is the angle (in degrees) of adjacent surfaces of a soccer ball, a body consisting of regular hexagons and pentagons (angle of hexagon to hexagon, and angle of hexagon to pentagon)?
Answer 6 - hexagon to hexagon
Enter numeric value in degrees
Answer 6 - hexagon to pentagon
Enter numeric value in degrees
Question 7
Inside a cube, in opposite corners, there is an ant and a blind spider. The ant is standing still, and the spider is moving randomly from corner to corner, using only edges. What is the expected number of travelled edges until the spider meets the ant?
Answer 7 - edges travelled by spider
Please enter a number greater than or equal to
0
.
Please check your answers and then submit the form
CAPTCHA
Privacy Policy
Consent required
*
I agree
I consent to having GDi collect my name, email and other information submitted via this form. Please check our
Privacy Policy
for the full story on how we protect and manage your submitted data.
Comments
This field is for validation purposes and should be left unchanged.
Facebook
LinkedIn
Twitter
Digg
Email
Facebook Messenger
Flattr
Gmail
MySpace
Pinterest
Print
Reddit
Skype
SMS
Telegram
Tumblr
Viber
WhatsApp
Weibo
Xing
Yammer
Share via
Facebook
Twitter
Pinterest
LinkedIn
Digg
Tumblr
Print
Email
Flattr
Reddit
Weibo
Xing
WhatsApp
Gmail
MySpace
SMS
Viber
Telegram
Skype
Facebook Messenger
Yammer
Go to Top