Bank Exam Government Jobs Exams Numerical Ability Ratio and Proportion

Three vessels contain equal mixtures of acid and water in the ratio 6 : 1, 5 : 2 and 3 : 1 respectively. If all the solutions are mixed together, the ratio of acid to water in the final mixture will be

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One night three naughty boys stole a basketful of mangoes from a garden, hid the loot and went to sleep. Before retiring they did some quick counting and found that the fruits were less than a hundred in number.
During the night one boy awoke, counted the mangoes and found that he could divide the mangoes into three equal parts if he first took one for himself. He then took one mango, ate it up, and took 1/3 of the rest hid them separately and went back to sleep.
Shortly thereafter another boy awoke, counted the mangoes and he again found that if he took one for himself the loot could be divided into three equal parts. He ate up one mango, bagged 1/3 of the remainder, hid them separately and went back to sleep. The third boy also awoke after some time, did the same and went back to sleep.
In the morning when they all woke up, and counted their mangoes, they found that the remaining mangoes again totalled 1 more than could be .divided into three equal parts.
How many mangoes did the boys steal? A and B together can complete a work in 20 hours. When A had worked for 5 hours and B had worked for 17 hours, only 3/4th of the total work could be completed. How much time will B alone take to finish the remaining work? ( IN HOURS)