Average Questions PDF for SSC, Railways and Banking Exams
Average Questions PDF for SSC, Railways and Banking Exams

Quant Booster Dose – Average Questions PDF

Average Question PDF with Answers for government exams like SSC, Railways, Banking, FCI, CWC, Insurance Exams, UPSC, and other state PCS exams. As we all know in many competitive exams in Quantitative Aptitude/ Numerical Ability subject Average Questions asked repeatedly, so you cannot ignore the Average Questions PDF.

As questions are based on previous year papers, there are chances that candidates will find many questions from the Average Questions with Answers PDF in all competitive Exams. If you check the last 4-5 year’s papers of SSC, Railways and Banking Exams, you will find that many different types of Average questions are asked. Today we have compiled “350+ Average Questions PDF with Answers for SSC, Railway & Banking Exam”. You can download Free Average Questions with Solution so that you get all the important questions at one place. And it will become very easy for you guys to revise them.

Average Questions PDF for SSC, Railways and Banking Exams

The ultimate way to begin Numerical Ability Preparation is to have the best Quantitative Aptitude practice questions in your PDF Drive. To ease out your preparation and save you a lot of time, At Let’s Study Together (LST) we understand our student’s requirements and keeping it in mind, So LST Team has compiled the Average Questions PDF for SSC, Railways and Banking Exams with Detailed Answers’. Get some relevant as well as reliable study material that will guide you well throughout your exam preparation. You can download the Average Questions with Solution so that you get all the important questions at one place. And it will become very easy for you guys to revise them.

Average Questions with Answers | Download Free PDF

What is Average?

As per the Average Definition, “A calculated central value of a set of numbers” is known as Average or we can say that the results that we get by adding several quantities and then dividing the total by the number of quantities is called Average. There are various formulas that are used to calculate the complete Average Problems. or

The Sum of all the numbers/elements/quantities divided by the total number of numbers/elements/quantities is called the Average.

Average =  (Sum of all numbers)/( Total number of numbers)

Tips & Tricks to solve the Average Questions

Trick 1: The average of two or more numbers/quantities is called the mean of these numbers, which is given by
Average(A) = (sum of observation/quantities)/(No.of observation/quantities)
∴S=A×n

Trick 2: The average of ‘n’ consecutive natural numbers starting from 1,2,3, ……n.
i.e. Average of 1,2,3, …..n =  (n+1)/2

Trick 3: The average of squares of ‘n’ consecutive natural numbers starting from 1 i.e.
Average of 1², 2², 3², 4² ….. x² = (n+1)(2n+1)/6

Trick  4: The average of cubes of first ‘n’ consecutive natural numbers
i.e. Average of , 1³, 2³, 3³ ….. n3 =  n(n+1)²/4

Trick  5: The average of first ‘n’ consecutive even natural numbers
i.e. Average of 2, 4, 6, ….. 2n = (n + 1)

Trick  6: The average of first ‘n’ consecutive odd natural numbers i.e. 1, 3, 5, ….. (2n – 1) = n

Trick  7: The average of certain consecutive numbers
a, b, c, ……… n is (a+n)/2

Trick 8: The average of 1st ‘n’ multiples of certain numbers x = (x(1+n))/2

Trick  9: If A goes from P to Q with the speed of x km/h and returns from Q to P with the speed of y km/h, then the average speed of the total journey is
Average speed = 2xy/(x+y)

Trick 10: If a distance is travelled with three different speeds a km/h, b km/h and c km/h, then
The average speed of total journey =
=  3abc/(ab+bc+ca)  km/h

Average Practice Questions with Answers

1. Eight years ago, the average age of a family of 4 persons was 19 years. A baby girl is a new addition to the family and now the average age of the family is 4 years more than it was 8 years ago. How old is baby girl?

(a) 6 years

(b) 7 years

(c) 3 years

(d) 5 years

(e) None of these

Show Correct Answers

Correct Answer:  (b) 7 years

Explanation:  Given:

Eight years ago, the average age of a family of 4 persons was 19 years.

A baby girl is a new addition to the family

And now the average age of the family is 4 years more than it was 8 years ago

Concept used:

Average age = Total age / number of people

Calculation:

Eight years ago,the sum of the ages of the familys was 19 × 4 = 76 years

At present  ages of the familys is = 76 + (8 × 4)

⇒ 76 + 32 = 108 years

After the baby The member of the family becomes 4 + 1 = 5

So now thesum of the ages of the familys is 23 × 5 = 115 years

So, age of the baby is 115 – 108 = 7 years

Age of the baby is  7 years

2 . The average weight of 10 workers travelling in a boat is increased by 2.8 kg when one of the workers, who weighs 58 kg, is replaced by a new worker. Find the weight of the new worker.

(a) 86 kg

(b) 84 kg

(c) 82 kg

(d) 68 kg

(e) None of these

Show Correct Answers

Correct Answer:  (a) 86 kg

Explanation:  Number of workers: 10

Increase in average weight: 2.8 kg

Weight of worker who left: 58 kg

Concept used:

The new average is the old average plus the increase, and the total weight increase is the product of the increase in average weight and the number of workers.

Solution:

Calculate the total weight increase: 10 × 2.8 kg.

Calculate the weight of the new worker: weight of worker who left + total weight increase.

⇒ Total weight increase = 10 × 2.8 kg = 28 kg

⇒ Weight of new worker = 58 kg + 28 kg = 86 kg

Therefore, the weight of the new worker is 86 kg.

3. The average of the square of first five even natural numbers is:

(a) 40

(b) 44

(c) 42

(d) 46

(e) None of these

Show Correct Answers

Correct Answer:  (b) 44

Explanation:  Sum of squares of 1st n even numbers = [2n(n + 1)(2n + 1)]/3

Calculation:

Sum of squares of 1st 5 even numbers = (10 × 6 × 11)/3 = 220

Now the required average = 220/5 = 44

∴ The correct answer is 44

4. Find the average of prime numbers between 100 and 150-

(a) 120

(b) 120.6

(c) 121.6

(d) 121

(e) None of these

Show Correct Answers

Correct Answer:  (c) 121.6

Explanation:  Concept used:

Average = Sum of quantities / number of quantities

Calculation:

Prime numbers between 100 and 150 = 101, 103, 107, 109, 113, 127, 131, 137, 139, 149

Sum of prime numbers between 100 and 150

= 101 + 103 + 107 + 109 + 113 + 127 + 131 + 137 + 139 + 149

= 1216

Average

= Sum of quantities / number of quantities

= 1216 / 10

= 121.6.

∴ Average of prime numbers between 100 and 150 is 121.6.

✅ Read Also: Attempt 1700+Topic-Wise Reasoning Ability Questions Here

5. In a class room the ratio of number of girls to that of boys is 3 : 4. The average height of students in the class is 4.6 feet. If the average height of the boys in the class is 4.8 feet, then what is the average height of the girls in the class?

(a) Less than 4.2 feet

(b) More than 4.2 feet but less than 4.3 feet

(c) More than 4.3 feet but less than 4.4 feet

(d) More than 4.4 feet but less than 4.5 feet

(e) None of these

Show Correct Answers

Correct Answer:  (c) More than 4.3 feet but less than 4.4 feet

Explanation:  The ratio of number of girls to that of boys is 3 : 4. The average height of students in the class is 4.6 feet.

The average height of the boys in the class is 4.8 fee

Concept Used: `

The ratio of a and b is a 1 : b 1, total average is P, and average of a and b is c and d respectively.

Total average (P) =  (a 1 × c + b 1 × d)/(a 1+ b 1)

Calculation:

Suppose the number of girls & boys in the class are 3a and 4a;

The average height of all students is 4.6 feet and average height of the boys is 4.8 feet.

Suppose average height of the girls is X feet;

So,

4a × 4.8 + 3a × X = 4.6 × (3a + 4a)

19.2 + 3X = 32.2

3X = 13

X = 4.33

∴ Average height of the girls in the class is more than 4.3 feet but less than 4.4 feet.

6. The weights (in kg) of five girls of a class are 49, 42, 61, 55 and 58. What is the average weight (in kg) of these five girls?

(a) 53

(b) 54

(c) 51

(d) 52

(e) None of these

Show Correct Answers

Correct Answer:  (a) 53

Explanation:  The weights (in kg) of five girls in a class are 49, 42, 61, 55 and 58.

Formula used:

Average = sum of observations/Number of observations

Calculation:

According to the question

⇒ (42 + 49 + 61 + 55 + 58)

⇒ 265

Average = 265/5

= 53

∴ T he average weight (in kg) of these five girls  53.

✅ Read Also: Attempt 1500+Topic-Wise English Language Questions Here

7. The number of students in a class is 75, out of which 33 1/3% are boys and the rest are girls. The average score in mathematics of the boys is 66 2/3% more than that of the girls. If the average score of all the students is 66, then the average score of the girls is∶

(a) 58

(b) 54

(c) 52

(d) 55

(e) None of these

Show Correct Answers

Correct Answer:  (b) 54

Explanation:  Total number of students = 75

Total number of boys = 75 × (1/3) = 25

Total number of girls = 75 – 25 = 50

Let average of score in mathematics of girls = 3x

Average score of boys in mathematics = 3x × (5/3) = 5x

The average score of all the students = 66

According to the question

5x × 25 + 3x × 50 = 75 × 66

⇒ 125x + 150x = 4950

⇒ x = 4950/275

⇒ x = 18

Average score of girls in mathematics = 3x = 3 × 18 = 54

8. When a sum of money was equally distributed among 50 children, each child received Rs. 80. If the same amount is equally distributed among another group of children such that each child get Rs. 50, then what is the number of children in the second group?

(a) 50

(b) 80

(c) 60

(d) 40

(e) None of these

Show Correct Answers

Correct Answer:  (b) 80

Explanation:  The total children initially = 50

Each children received initially = Rs. 80

Concept:

Sum = Total children × The amount received by each child

Calculation:  

Let the children is in another group be X

The total sum = 50 × 80 = 4000

The children in new group = 4000/50 = 80

∴ The required result will be 80.

✅ Read Also: Attempt 1300+Topic-Wise Quantitative Aptitude Questions Here

9. There are 15 students in a class. Their average weight is 40 kg. When one student leaves the class, the average weight is 39.5 kg. What is the weight of the student who left the class (where kg means kilogram)?

(a) 47 kg

(b) 42 kg

(c) 52 kg

(d) 48 kg

(e) None of these

Show Correct Answers

Correct Answer:  (a) 47 kg

Explanation:  There are 15 students in a class.

Their average weight is 40 kg.

When one student leaves the class, the average weight is 39.5 kg.

Calculation:

The total weight of 15 students is 15 × 40 = 600 kg

The total weight of 14 students is 14 × 39.5 = 553 kg

The weight of new students is 600 – 553 = 47 kg

10. A batsman scored 92 runs in his 15th innings. Due to this, his average increased by 2 runs then his current average is?

(a) 34

(b) 48

(c) 56

(d) 64

(e) None of these

Show Correct Answers

Correct Answer:  (d) 64

Explanation:  A batsman scored 92 runs in his 15th innings. Due to this, his average increased by 2 runs

Formula Used:

Old average × old number + something = new average × new number

Calculation:

Let his current average is = x

⇒ His old average must be x – 2 till 14th innings [∵ average has now increased by 2]

∴  (x – 2) × 14 + 92 = x × 15

⇒ 14x – 28 + 92 = 15x

⇒ x = 64

∴ Current average of batsman = 64 runs

All the Average questions are formulated as per the level of Bank PO exams. The Average questions in this PDF has a moderate and hard level of difficulty. All the candidates who are preparing for banking exams are advised to practice all these important questions to score well in the exam. To remove any doubt or difficulty in any topic, go through the study notes of each topic from the links given above.

Why Quantitative Aptitude Average Questions PDF is Important for Exams?

  • All the questions prepare by Exams experts.
  • The practice questions covered are across the levels i.e. Easy, Moderate, and Difficult.
  • Provides a detailed approach to the solution of each question.
  • Focuses on all the new patterns and advanced-level type questions.
  • Average Questions PDF boosts confidence and reduces pre-exam jitters by regularly attempting a variety of questions and tackling the difficulty level expected in the final exam.

This Quant Booster Dose Average Questions PDF is useful for the upcoming Banking and Insurance exams i.e. IBPS PO, SBI PO, Clerk, IBPS RRB PO & Clerk, RBI Assistant, RBI Grade B, NABARD, LIC AAO, SSC (CGL, CHSL, MTS, CPO, and Constable), Railway RRB (NTPC, Group D, JE, ALP) & Other Government Exams.

✅ Read Also: Attempt 1000+Topic-Wise Quantitative Aptitude Questions Here

Here we are providing you with New Pattern Quantitative Aptitude Quizzes (Average Questions) for SSC, Railway & Banking Exam, based on the latest pattern of your daily practice.

Practice Set- 1 Practice Set- 2 Practice Set- 3
Practice Set- 4 Practice Set- 5 Practice Set- 6
Practice Set- 7 Practice Set- 8 Practice Set- 9
Practice Set- 10 More…… Complete Quant Study Material

We hope the given Quantitative Aptitude Topic-wise Questions and Answers PDF will be helpful for their competitive exams like bank exams and other recruitment board exams. So candidates can utilize our Quantitative Aptitude Topic-wise PDF Download for their effective preparation to score more marks in upcoming competitive exams.

8700+ Quantitative Aptitude Topic wise Questions and Answers – Download Free PDF

8700+ Quantitative Aptitude Topic wise Questions and Answers – Download Free PDF

Quant Booster Dose – Topic-wise Quantitative Aptitude Questions and Answers