Q1 . In a class there are 20 students.The total age of all the students is 400.All the students go out on a picnic and three students with ages 23,24,25 join the class.Now after the three students joined the class picnic,what is the average of the class?

1. 21

2. 20.5

3. 22

4. 22.5

Check Answer

Correct Answer is

20.5

SOLUTION

The total age of all students is 400

3 more students of ages 23,24,25 join

so total age now is 400+23+24+25=472

so the average is 472/23=20.5

Q2 . The average age of a mother,Father and three of their children is is 30 years.When we do not take into account the age of the eldest child the average of the family reduces to 28.Find the age of the eldest child?

1. 36.5

2. 36

3. 38

4. 37

Check Answer

Correct Answer is

38

SOLUTION

Total number of family members is 5

The total age of family is 30*5=150

Except the age of eldest child average is 28

so age of family now is 28*4=112

Age of eldest child is 150-112=38

Q3 . The average cost of 5 pens ,2 Rulers and 3 erasers cost Rs 25 on an average for each product.When the cost of the rulers are removed, then the average of the remaining products is reduced to Rs 20 per product.Find the cost of one ruler?

1. 32 rupees

2. 20 rupees

3. 25 rupees

4. 45 rupees

Check Answer

Correct Answer is

45 rupees

SOLUTION

Total objects is 10 and average cost is 25

the total cost is 25*10=250

Remove the rulers so ,total objects is 10-2=8

the average cost now is 20

total cost of all articles except rulers is 20*8=160

total cost- cost of other articles =cost of rulers

250-160=90

cost of 2 rulers is 90 and that of one ru

Q4 . In a class of 8 students the average height is 4 feet.The height of the teacher is not taken into account currently.When the height of the teacher is added to the total height of the class the average height of the class increases by 1/2 find the height of the teacher.Find the height of the teacher?

1. 10.5 feet

2. 7.5 feet

3. 8.5 feet

4. 5.5 feet

Check Answer

Correct Answer is

8.5 feet

SOLUTION

Total students is 8 and average height is 4 feet

total height is 8*4=32 feet

Now when we add the height of the teacher the average height is 4.5 feet

height of teacher= total height with teacher height - total height before

8x4-9x4.5=8.5 feet

Q5 . The average cost of a normal ticket is Rs 20 and the average cost of tatkal ticket is Rs 40.The total number of normal tickets is 20 and that of tatkal tickets is 10.The removal of one ticket reduces the overall average cost by 20.Find the cost of the ticket?

1. 190 rupees

2. 230 rupees

3. 225 rupees

4. 220 rupees

Check Answer

Correct Answer is

220 rupees

SOLUTION

Total cost of normal tickets=20* no of tickets

20x20=400

total cost of tatkal tickets is 40x no of tickets

40x10=400

total number of tickets is 30

total cost of tickets is 400+400=80

removal of one ticket makes the average cost 20

total cost now is no of tickets * average cost

20x29(one ticket is re

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Average solved problems part-1

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