Question 1

Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?

Accepted Answer

Assuming Sripad has scored the least marks in subject other than science, Then the marks he could secure in other two are 58 each. Since the average mark of all the 3 subject is 65. i.e (58+58+x)/3 = 65 116 + x = 195 x = 79 marks. Therefore, the maximum marks he can score in maths is 79.

Question 2

The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?

Accepted Answer

Total age of players in team = 22 x 11 = 242 When coach is included, total members = 12, Avg age increases by one becomes 23 Total age when coach is included = 23x12 = 276 Age of coach = 276-242 = 34 yrs.

Question 3

A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 108 runs, thereby increasing his average by 6 runs. His new average is :

Accepted Answer

Let average for 10 innings be x. Then, (10x + 108)/11 = x + 6 => 11x + 66 = 10x + 108 => x = 42. New average = (x + 6) = 48 runs.

Question 4

The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?

Accepted Answer

Let the number of boys in the group originally be x. Total weight of the boys = 30x After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35 So 30x + 35 + 31(x + 1) = > x = 4.

Question 5

There were 35 studentsina hostel.Ifthenumber of studentsbe increased by 7, the expenditure on food increases by Rs 42 per day while the average expenditure of studentsis reduced by Rs 1. What was the initial expenditure on food per day?

Accepted Answer

Let the original avg expenditure be x Total expenditure = 35x ⇒35x + 42 = (x-1) X 42 ⇒35x + 42 = 42x –42 ⇒7x = 84 ⇒x = 12 So, initial expenditure = 12 X 35 = 420

Question 6

The average of 50 consecutive natural numbers is x. What will be the are average when the next four natural numbers are also included?

Accepted Answer

Sum of n consecutive natural numbers = n(n+1)/2 Average of n consecutive natural numbers = (n+1)/2 For first 50 average = 51/2 = x Last 50 average = 55/2 = x+2

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