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Part of 2016 Junior Regional Olympiad - FBH

Problems(3)

Junior Regional Olympiad - FBH 2016 Grade 6 Problem 1

Source:

Find unknown digits

a

b

such that number

\overline{a783b}

is divisible with

56

Digitsnumber theory

Junior Regional Olympiad - FBH 2016 Grade 7 Problem 1

Source:

One company from Tesanj has last year produced profit for

112 \%

of expected one . Determine how many percents expected profit is from produced one

Junior Regional Olympiad - FBH 2016 Grade 8 Problem 1

Source:

a>b>c

are real numbers prove that

\frac{1}{a-b}+\frac{1}{b-c}>\frac{2}{a-c}