Sets - math word problems - last page

Number of problems found: 286

News
From 28 students buy magazines, 10 The economist students, 10 Pravda students, and 18 students don't buy any of these magazines. How many students buy both magazines?
Disjoint
How many elements have union and intersection of two disjoint sets when the first has 1 and second 8 elements?
Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)?
Energy saving
They released three different independent inventions saving 15%, 17%, and 16% energy. Some considered that with the use of these inventions, the total savings would be 15% + 17% + 16% = 48%. Is this true? How much will the percent of energy save all three

Family
A man and a woman have 7 daughters together (or - "with each other" so that step-children are excluded). Each daughter has one brother. How many members are in the immediate family?
Two doctors
Doctor A will determine the correct diagnosis with a probability of 89% and doctor B with a probability of 75%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.

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