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Total number of students in classes 4, 5 and 6 are 100. The average scores of students in class 4 and class 6 are 70 and 95 respectively. The average scores of students in class 4 and class 5 combined is 83 and the average scores of students in class 5 and class 6 combined is 87.5. Find the number of students in class 4 if it is given that the average of the scores of the students in all the classes is 84.

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4 men and 3 women finish a Job in 6 days. 5 men and 7 women can do the same Job in 4 days. how long will 1 man and 1 woman take to do the job?

Mr. Shah has to divide his assets worth rupees 30 crores in 3 parts to be given to three id his sons Ajay, Vijay and Arun ensuring that every son gets at least worth rupees 5 crores . In how many ways can this be done if it is given that three sons should get their shares in multiple of rupees 1 crore?.Please provide detailed solution

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A 100 litre vessel contains water and milk in the ratio 2 : 3 and a 50 litre vessel contains water and milk in the ratio 3 : 2. If the contents of these vessels are mixed in the ratio 1 : 3 in a third vessel, what will be the respective ratio of milk to water in the third vessel? a) 12 : 13 b) 9 : 11 c) 11 : 9 d) 13 : 12