Master thesis writing as a part of university study

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How to solve the questions of mathematical logic

Test of Medicine, Architecture, Entry into law enforcement; logic questions are everywhere. Every year the tests for admission to specific faculties or specific sectors provide a non-negligible component of mathematical logic within the quiz.

Will math and logic never be your job? Fortunately, our tutors are ready to help you improve on this subject and many others!

Here is a short but effective guide collected in 9 simple points on how to solve any kind of mathematical logic question. It can help with any question or question concerning problem solving.

Read the question carefully

Let’s start with some examples:

I have to travel 50 meters: the first day I increase by 1/5 of what is due, the second 1/8 of what remains and the third 1/3 of what has already been traveled.

How many meters are missing at the finish line?

As can be seen, the specifications with respect to the calculations are fundamental for the performance of the problem.

“Of what is due”, “of what remains”, “of what has already been traveled”, are just some of the terms used to confuse and increase the degree of difficulty. Therefore an analysis of the grammar of the text is essential in order to start solving it.

Don’t let it scare you

Sometimes the questions are structured to look much more complex than they are. Many people, in fact, induced by appearance, will begin to make complex calculations and go into the ball.

The truth is that sometimes it is enough to stop for a moment and understand what is required. Often these are elementary calculations and simple notions.

Marco decides to take a trip. It will depart from Rome to go to a location that is 5 time zones east of Italy.

Considering that it will start at 12.00 on Saturday 30 April and the journey lasts 6 hours, when will it arrive?

  1. Saturday 30 April at 6pm;
  2. Saturday 30 April at 11pm;
  3. Saturday 1 May at 8;
  4. Sunday 1 May at 18;
  5. Sunday 1 May at 11pm.

How to operate?


It will leave at 12.00 on Saturday 30th April, the journey lasts 6 hours, therefore it will arrive at 6.00 pm at destination. Now just add the time difference (+ 5h) and the result will be 11.00pm on Saturday 30th April (ANSWER: B).

Perform the procedures on a graphic level

Sometimes writing, drawing or pinning graphically will make what we are dealing with almost magically understandable.

It often happens to think or be frightened in front of questions that integrate a geometric or figural component, in this case, paper and pen in hand will help not only to focus well the situation but also to save us from possible calculation errors.

“An insect was trapped in a 40 cm high bathtub. During the day it rises 20 cm but at night it slides down 10 cm.

In how many days will he manage to climb?

Complications are never a solution

Yes, even for the logical-mathematical questions this rule applies. If during the calculations should come numbers with the comma, 99% of the time it is an error.

The questions are structured in such a way as to be solved quickly and in any case without too many difficult calculations, so if you find us intertwined between large and unmanageable numbers, check the exercise, there could be an error.

The most trivial solution is not always the one to be discarded

This point is closely related to the previous one: sometimes the solution lies behind small and whole numbers.

An insect was trapped in a 40 cm high bathtub. During the day it rises 20 cm but at night it slides down 10 cm.

In how many days will he manage to climb?

  • 2.6 days
  • 13 days
  • 44 days
  • 4.9 days
  • 3 days


In fact, as well as observing the graph above, it is enough to make a simple calculation.

The actual advancement per day is 10 cm out of 40, considering however that the last day the advancement is 20, thus succeeding in overcoming the enterprise without re-entering the tank.

Don’t pull at random

Pulling at random is the worst strategy if the penalty score is higher than 1/4 of the score for the correct answer.

For example, if the score given for the correct answer was 1.5 and the score for the penalty was 0.4 then it is absolutely not recommended to shoot at random. You have one in five chances to guess right?

This means that at the level of probability the other 4 times you lose. Reporting the data from before we consider to pull at random 5 questions, one out of 5 is right (+1.5), the other four wrong (-0.4 x 4 = -1.6).

The result is a loss compared to the initial score of 0.1.

Train and study

As in everything, these are the two factors that will make the difference during an entry test. The more exercises you meet, the more experience you have and the more results you will have.

Mathematical logic is a seemingly complex subject that actually turns out to be easily overcome. It is designed in such a way as to enhance the problem solving and practical reasoning abilities therefore work hard!