What is the minimum number of women who must have had all four items?

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Out of 100 women surveyed leaving Shoppers Stop, 83 had a white bag, 77 had black shoes, 62 carried an umbrella and 95 wore a ring.
What is the minimum number of women who must have had all four items?

posted May 26, 2014

2 Solutions

95 ring + 5 not ring
(83 - 5 = 78) ring,white bag + 22 others
(77 - 22 = 55)ring,whitebag,black shoes + 45 others
(62 - 45 = 17)ring,whitebag,black shoes,umbrealla + 83 others

solution Dec 19, 2014
solution Oct 20, 2015

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A beautiful lake was surrounded by 4 temples. When flowers are washed in the lake-water, the flowers doubled in number. On a special day, Mrs. Sharma went there with some roses. She washed the roses in the lake-water before entering each temple. In each of the temple she deposited the same number of flowers. By the time she was done with all the four temples, she had no flower left with her.
How many flowers did she deposit in each temple?
What is the least number of flowers Mrs. Sharma must have had initially to make the above possible?