An ant walks in a straight line on a plane, leaving behind a trace of its movement. The initial position of the ant is at point P facing east.

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An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east. The ant first turns 72∘ anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting.…

Continue ReadingAn ant walks in a straight line on a plane, leaving behind a trace of its movement. The initial position of the ant is at point P facing east.

A survey of 450 students about their subjects of interest resulted in the following outcome.

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150 students are interested in Mathematics. 200 students are interested in Physics. 175 students are interested in Chemistry. 50 students are interested in Mathematics and Physics. 60 students are interested in Physics and Chemistry. 40 students are interested in Mathematics and Chemistry. 30 students are interested in Mathematics, Physics, and Chemistry. Remaining students are…

Continue ReadingA survey of 450 students about their subjects of interest resulted in the following outcome.