To avoid financial problems, develop logic, gentlemen.

It is often said that mathematics will never be useful in life. It can easily be argued that basic knowledge of arithmetic is necessary at least in order to correctly allocate the family budget, calculate the real savings during promotional sales or estimate the exchange rate of the euro or dollar. Not to mention that logic tasks are a kind of training for the mind that keeps the brain in good shape.

Back to the exchange rate, by the way. Recently, one of the exchangers put a problem on the information board instead of the exchange rate and this immediately attracted attention! The fact is that recently the Ukrainian authorities banned publicly displaying the dollar and euro exchange rates, so exchangers are getting out of the situation as they can.



Task #1 If you decide to twist, then below is a re-drawn image for the logic problem that was published on the exchanger. In this image, you can look at small details that are important in finding the right answer. Find the solution at the end of the article.



Objective #2 The second task will also require a non-standard solution. Take three billiard balls from the picture, so that the sum of the numbers on them is thirty.



3 What number should be in place of the question mark?



Problem #4 And finally, the easiest problem. How many triangles are there in the picture?



Problem #1 is actually more about mindfulness than math. By simple calculations, you can quickly calculate that a pair of sneakers is ten, a bully is five, and a package of seeds is two.

It remains a small matter: to see in the last line what is actually depicted there. The shoe in the last example is one, not a pair. The bully is wearing sneakers and holding two bags of seeds, so you need to sum up the numbers that correspond to these items. Do not miss the multiplication sign at the end instead of the expected plus.

The final equation is 5 + (5 + 10 + 2 + 2) × 2 = 43.



Task #2 First of all, note that the numbers on all the balls are odd, and as a result you need to get an even number of 30. This is possible only if we add two odd numbers and one even. That means you have to cheat first. Turn the nine to make a six!



Problem #3 There is no catch in this problem. To get the correct answer, it is enough to multiply any pair of numbers located diagonally square.

Task #4: Another Mindfulness Exercise. The circle is divided into eight sectors that are not triangles. But if you look at the middle of the picture, you can see that one of the lines does not pass through the center. This line, intersecting with the others, forms two small triangles, which together form a third. The answer is three triangles.



Like muscles, our intelligence needs daily training. So, more often, solve logic problems. Don't let your brains dry up!