# Group

Group of kids wanted to ride. When the children were divided into groups of 3 children 1 remain. When divided into groups of 4 children 1 remain. When divided into groups of 6 children 1 missed. After divided to groups of 5 children its OK. How many are there?

Correct result:

n =  0

#### Solution:

Problem has no solution

$n = 3x+1 \ \\ n = 6y-1 \ \\ 3x+1 = 6y -1 \ \\ 3x - 6y = -2 \ \\ 6y - 3x = 2; x,y \in N; P = \emptyset \ \\ \ \\ d3: 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76 \ \\ d4: 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97, 101 \ \\ d6: 5, 11, 17, 23, 29, 35, 41, 47, 53, 59, 65, 71, 77, 83, 89, 95, 101, 107, 113, 119, 125, 131, 137, 143, 149 \ \\ d5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125 \ \\ \ \\ d3: 10, 25, 40, 55, 70, 85, 100, 115, 130, 145, 160, 175, 190, 205 \ \\ d4: 5, 25, 45, 65, 85, 105, 125, 145, 165, 185, 205, 225, 245, 265 \ \\ d6: 5, 35, 65, 95, 125, 155, 185, 215, 245, 275, 305, 335, 365, 395 \ \\$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Do you want to calculate least common multiple two or more numbers?
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?

## Next similar math problems:

• Math test
In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, heavy 5 points, the best score is 84 points. How many points did Jane have when she solved all the easy examples, half medium and one-third difficult?
• Cinema 5
James wants to go to the movies every Tuesday for five years. After a year he learned that the ticket price on Wednesday is only € 5.10 and € 5.60 the other day. Now that he know about the discount, he decided to change his habits and he will go to the ci
• Exhibition
The teacher paid for 280 Kč for 4.A students for admission to the exhibition. How many students were on the exhibition?
• Sick
Sick Marcel already taken six tablets, which was a quarter of the total number of pills in the pack. How many pills were in the pack?
• Gears
The gearing fits wheel with 20 teeth to the wheel with 36 teeth. Before starting the machine is stained tooth smaller wheels in the designated space between the teeth of the larger wheels. How many times after starting the machine wheels turning that stai
• Math classification
In 3A class are 27 students. One-third got a B in math and the rest got A. How many students received a B in math?
• Doctors
In the city operates 196 doctors. The city has 134456 citizens. How many citizens are per one doctor?
• Perpetrator
The perpetrator is a number that is smaller than the number 80. It is a multiple of five and it is odd. If we added up the tens and ones of this number we get number 8.
• Street numbers
Lada came to aunt. On the way he noticed that the houses on the left side of the street have odd numbers on the right side and even numbers. The street where he lives aunt, there are 5 houses with an even number, which contains at least one digit number 6
• The result
How many times I decrease the number 1632 to get the result 24?
• Symbols
If 2*3 = 60 ; 3*4 = 120 and 4*5 = 200, what is 2*5?
• Number
What number I think? The third is 6 and half is 2 more than the its quarter.
• Product
Result of the product of the numbers 1, 2, 3, 1, 2, 0 is: