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(#M40158938) KANGAROO MATH QUESTION no. puzzle Keep an EYE

The tango is danced in pairs, each consisting of one man and one woman. At a dance
evening no more than 50 people are present. At one moment 3/4 of the men are dancing with
4/5 of the women. How many people are dancing at that moment?
(A) 20 (B) 24 (C) 30 (D) 32 (E) 46

Asked In kangaroo math aniqa sul (7 years ago)

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(#M40158937) KANGAROO MATH QUESTION triangle puzzle Keep an EYE

An equilateral triangle starts in a given position and is moved to new positions in a
sequence of steps. At each step it is rotated about its centre, first by 3◦
, then by a further 9◦
,
then by a further 27◦
, and so on (at the n-th step it is rotated by a further (3n
)
◦
). How many
different positions, including the initial position, will the triangle occupy? Two positions are
considered equal if the triangle covers the same part of the plane.

Asked In kangaroo math aniqa sul (7 years ago)

Unsolved

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