### Quantitative Aptitude Topic of the day: Averages

Averages questions are quite easy to attempt if the concepts are clear.

Suppose there are N numbers, then their average is their sum divided by that is,

Average=(sum / N)

Weighted Average: The average between two sets of numbers is closer to the set with more numbers.

if 3 batsmen scored 25 runs and 2 batsmen scored 35 runs the average of the team won’t be 30. Rather it will be

= (25×3 + 35×2 )/5 = 29 . This is nearer to 25 since more batsmen scored 25 runs.

Attempt the following questions to check your level of preparedness for ratio proportion questions in competitive exams. You can answer the questions in comments section. Also make sure you checkout tomorrow’s Quantitative Lunch update for **solutions** to these questions along with the **formulae **used in **VIDEO** format by our **Subject Expert.**

**Question 1 :The average weight of 11 players of Indian cricket team is increased by 1 kg, when one player of the team weighing 55 kg replaced by a new player. The weight of the new player is:
**

A) 55 kg

B) 64 kg

C) 66 kg

D)70kg

**Question 2: The average age of 30 students of a class is 30 years. When the average age of class teacher is also included, the average age of the whole class increases by 1 year. This age of the class teachers is:
**

A)31 years

B) 60 years

C) 61 years

D) 65 years

**Question 3: The average of first 100 natural number is :**

A) 100

B) 50

C) 50.5

D) 55

**Question 4: The average of first 50 odd natural numbers is**

A) 50

B) 55

C) 51

D) 101

**Question 5: The average of first 99 even numbers is :
**

A)9999

B) 100

C) 9801

D) 9009

**VIDEO SOLUTIONS FOR SEPTEMBER 16 Simple and Compound Interest ****QUESTIONS: **

**Share these questions with everyone you know and check their answers. Also let us know your comments on video solutions. **

5. The average of first 99 even numbers = (2+4+ 6+…..+198)/99 = 100

Use an AP sum to solve the problem = (n/2)(a + l) = 99/2 (2+198) = 9900 => 9900/99 = 100.

1-66

2-31

3-50.5

4-50

5-100

plz….post solutions of all above average questions

Hello Raveena

Solutions to above questions would be provided in todays post. Please check it out.

Wow Raj all your answers are correct except for the second question. The second answer isnt correct. I believe it should be 61. i.e. option b

This age of the class teachers=31 x 31 – 30 x 30 = 61 years

Correct answers Vaibhav and Rock the world. Congratulations.

1. 66

2. 61

3. 50.5

4. 50

5. 100