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Average, Mixture & Alligation II Quantitative Aptitude II MH-CET 2021 II 2 July

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Question 1

The sum of 8 consecutive odd numbers is 256. Also sum of four consecutive even numbers is 100. What is the sum of the smallest odd number and second largest even number?

Question 2

The average of eight numbers is 25, out of which average of first two numbers is and the average of the next three numbers is . The sixth number is less than the seventh and the eighth by 5 and 8 respectively. Find the seventh number.

Question 3

The average age of P and Q is 35 years. If R replaces P, the average age is 31 years, if R replaces Q average age is 36 years. If the average age of S and T is half of average age of P, Q and R, find the average age of all the five people.

Question 4

The average salary of the entire staff (managers + technical department) in an office is Rs. 2000 per day. The average salary of managers is Rs. 5500 and that of people from technical department is Rs. 1200. If the number of managers is 160, then find the number of people working in technical department in the office.

Question 5

In a shooting tournament, a group of 70 archers initially participated. The average of their points is 36. If 20 archers whose average points is 40 left and 30 other archers whose average points is 30 join the group, find the average points of the new group.

Question 6

In a solution of acid and water, acid is 20% and in another solution acid is 35%. How many litres of the first solution must be added to 40 litres of the second solution to make a solution of 30% acid?

Question 7

The Price of 1 litre pure milk is Rs. 50. By adding some water in it and selling the mixture in Rs. 60 one gets 25% profit, then find the ratio of milk and water in the mixture?

Question 8

In two alloys, copper and zinc are present in the ratios of 4:1 and 1:3. 10 kg of 1st alloy 16 kg of 2nd alloy and some of pure copper are melted together. An alloy was obtained in which the ratio of copper to zinc was 3:2. Find the weight of the new alloy.

Question 9

The price of diesel is Rs. 64 per litre and price of spirit is Rs. 48 per litre. In what ratio (spirit : diesel)can the two liquids be mixed so as to earn a profit of 25% by selling the mixture at Rs. 72 per litre.

Question 10

In 330 litres of mixtures of milk and water, water is only 24%. The milkman sold 80 litres of this mixture and then he added 60 litres of pure milk and 26 litres of pure water in the remaining mixture. What is the percentage of water in the final mixture?
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