Average Mixture & Alligation Level-2 Quiz-2

1. A’s capacity to do a work is the average of C’s capacity and twice B’s capacity. B’s capacity is the average of C’s capacity and half of A’s capacity. Find the ratio of capacities of A and B.

2. Dev’s bowling average (runs conceded per wicket) decreased by 0.5 runs/wicket when he took four wickets and conceded 38 runs, in a match. If his initial average was 23 runs/wicket, how many runs did he concede before this match?

3. The average age of a group of 10 men decreased by 1 year when a new man aged 23 years joined the group and an existing man left. What is the age of the man who left the group?(in years)

4. Find the average of the first 10 multiples of 50.

5. If 12 kg of rice which costs Rupees 24/kg is mixed with 6 kg of rice which costs Rupees 27/kg, then what is the cost of the resulting mixture (in Rupees /kg)?

6. The median of n distinct numbers is greater than the average, does this mean that there are more terms above the average than below it?

7. Srikanth earned an average of Rupees 1,600 per month from January to June. Then, he earned Rupees 1,500, Rupees 1,800, Rupees 1,900 and Rupees 2,150, respectively during the months July, through October. During November he earned 50% of what he earned in December. If his average earnings for the entire year is Rupees 1,600. Find his earnings in the month of November. (in Rupees)

8. The average age of a family of five members is the same today as it was five years ago. There is no change in the family except that the elder daughter was replaced by the daughter-in-law. If the age of the elder daughter is 48 years, how old (in years) is the daughter-in-law?

9. A man lent a total of Rupees 60,000 at simple interest to two persons P and Q at 12% p.a. and 9% p.a., respectively for two years. If he received a total interest of Rupees 13,200, then find the sum lent at 9% p.a. (in Rupees )

10. N is natural number and P is the set {1, 2, 3, …. 2N}. Q denotes the average of all the odd elements of P and R denotes the average of all the even elements. Find R – Q.