Interested in joining
the GDi team ?

then find solutions to the problems below

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*
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.
Email
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

Kolačić	Trajanje	Opis
cookielawinfo-checkbox-analytics	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Analytics".
cookielawinfo-checkbox-functional	11 months	The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional".
cookielawinfo-checkbox-necessary	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookies is used to store the user consent for the cookies in the category "Necessary".
cookielawinfo-checkbox-others	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other.
cookielawinfo-checkbox-performance	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Performance".
viewed_cookie_policy	11 months	The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. It does not store any personal data.

Kolačić	Trajanje	Opis
__fb_chat_plugin	never	This cookie is used to track the user's interaction with facebook chat widget.
319af4c0-e197-4de9-8a9b-fe98c8a2ca04	session	The cookie contains no personal information. Allows page loads in given timeframe and single analysis script to be part of a single “visit” to the website.
79f08280-5c63-4331-b04d-fb6f39afda51	2 years	The cookie contains no personal information. Allows scoring leads based on level of interaction with the website.
messaging_plugin_https://gdi.net/_275678562443390	never	This cookie is used by Facebook to enable its chat widget functionalities.
msd365mkttr	2 years	For correct operation of website forms and setting of user privacy preferences.
msd365mkttrs	session	For correct operation of website forms and setting of user privacy preferences.
wp-wpml_current_language	session	Stores WPML language settings.

Kolačić	Trajanje	Opis
_ga	2 years	The _ga cookie, installed by Google Analytics, calculates visitor, session and campaign data and also keeps track of site usage for the site's analytics report. The cookie stores information anonymously and assigns a randomly generated number to recognize unique visitors.
_gat_UA-80826618-1	1 minute	A variation of the _gat cookie set by Google Analytics and Google Tag Manager to allow website owners to track visitor behaviour and measure site performance. The pattern element in the name contains the unique identity number of the account or website it relates to.
_gid	1 day	Installed by Google Analytics, _gid cookie stores information on how visitors use a website, while also creating an analytics report of the website's performance. Some of the data that are collected include the number of visitors, their source, and the pages they visit anonymously.
CONSENT	2 years	YouTube sets this cookie via embedded youtube-videos and registers anonymous statistical data.

Kolačić	Trajanje	Opis
VISITOR_INFO1_LIVE	5 months 27 days	A cookie set by YouTube to measure bandwidth that determines whether the user gets the new or old player interface.
YSC	session	YSC cookie is set by Youtube and is used to track the views of embedded videos on Youtube pages.
yt-remote-connected-devices	never	YouTube sets this cookie to store the video preferences of the user using embedded YouTube video.
yt-remote-device-id	never	YouTube sets this cookie to store the video preferences of the user using embedded YouTube video.
yt.innertube::nextId	never	This cookie, set by YouTube, registers a unique ID to store data on what videos from YouTube the user has seen.
yt.innertube::requests	never	This cookie, set by YouTube, registers a unique ID to store data on what videos from YouTube the user has seen.

Interested in joining the GDi team ?

then find solutions to the problems below

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.

Please enter your details

Please answer the questions below.

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Privacy Policy

Interested in joining
the GDi team ?