4

Part of 2017 Junior Regional Olympiad - FBH

Problems(3)

Junior Regional Olympiad - FBH 2017 Grade 7 Problem 4

Source:

27

climbers shared among themself

13

breads. Every man had

2

breads, every woman half of a bread, and every child

\frac{1}{3}

of a bread. How many men, women and children where there ?

Junior Regional Olympiad - FBH 2017 Grade 6 Problem 4

Source:

If we divide number

19250

with one number, we get remainder

11

. If we divide number

20302

with the same number, we get the reamainder

3

. Which number is that?

equationremainder

Junior Regional Olympiad - FBH 2017 Grade 8 Problem 4

Source:

n

k

be positive integers for which we have

4

i)

n+1

is divisible with

k

ii)

n=2k+5

iii)

n+k

is divisible with

3

iv)

n+7k

is prime Determine all possible values for

n

k

, if out of the

4

statements, three of them are true and one is false

statementsdivisibleprime