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Two pots contain a mixture of milk and water. In the first pot, ratio between milk and water is 4 : 1 and in second pot, the ratio between the milk and water is 1 : 3. In third pot, this two mixtures are mixed to formed 22 lit mixture of milk and water in which ratio between the milk and water is 7 : 3. Find the difference between the quantity of mixture taken from first pot and second pot.
A cistern can be filled by two pipes in 10 and 12 min respectively. Both the pipes are opened together for a certain time but, due to defects, only 1/6th of full quantity of water flows through the former and 2/5th of the latter. The defects are detected and rectified. The cistern is filled in 3 min from that moment. How long was it before the detects were rectified?
A pot contains 60 litres of curd, from the pot, 12 litres of curd was taken out and replaced by an equal amount of water. If again 12 litres of newly formed mixture is taken out of the pot and 12 litres water is added, what is the quantity of curd left in the pot?
In a group, 29 people like to watch movies, 35 people like to watch web series and 34 people like to watch YouTube videos. Also, 13 people like to watch only movies, 21 people like to watch only web series and 15 people like to watch only YouTube videos. 4 of them like to watch only movies and web series. 3 of them like to watch movies, web series and YouTube videos as well. How many people like to watch both movies and YouTube videos?
Fact 1: All dogs like to run.
Fact 2: Some dogs like to swim.
Fact 3: Some dogs look like their masters.

If the first three statements are facts, which of the following statements must also be a fact?
I: All dogs who like to swim look like their masters.
II: Dogs who like to swim also like to run.
III: Dogs who like to run do not look like their masters.
In a group, 22 women like Red color, 20 women like the blue color and 19 women like Yellow color. Among them, 5 women like both Red and Blue color, 5 women like both Yellow and Blue color and 9 women like both Red and Yellow color. 14 women like only Blue color and 4 women all the three colors. Find the total number of women who like only Red color.
There are 90 people in a company, they all like at least one of the drinks namely tea, coffee, and milk. Further it is known that, 20 people like all the three drinks. 30 people like both coffee and milk, 25 people like both tea and milk and 35 people like both tea and coffee. A total of 60 people like tea and a total of 40 people like milk. What is the number of people who like only coffee?
In a group, 22 women like Red colour, 20 women like blue colour and 19 women like Yellow colour. Among them, 5 women like both Red and Blue colour, 5 women like both Yellow and Blue colour and 9 women like both Red and Yellow colour. 14 women like only Blue color and 4 women all the three colors. Find the total number of women who like only Red color.
A survey of 100 candidates with respect to their choice of ice cream flavors - vanilla, chocolate and strawberry - produced the following information.  50 candidates like vanilla, 28 like chocolate, 43 like strawberry, 13 like vanilla and chocolate, 11 like chocolate and strawberry, 12 like strawberry and vanilla, and 5 like all the three flavours.  How many candidates like chocolate and strawberry but not vanilla?
In a group 40% people like only milk, 20% like only tea and 20% like only coffee, if 2% like all the three drinks and 8% like both milk and coffee, 7% like both coffee and tea and 9% like both tea and milk, then how many percent of people like only two drinks?