A circle, centre O, has two radii OA and OB. The line AB divides the circle into two regions with areas in the ratio 3:1. If the angle AOB is θ (radians), show that
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In a survey conducted among 2000 Junior Assistants in an office, it was found that 48% preferred coffee, 54% liked tea and 64% used to smoke. If 28% used coffee and tea, 32% used tea and smoke and 30% used coffee and smoke, then the percentage of clerks who use only coffee, given that 6% did none of these.
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