## Average Questions for SSC 2023

The number of average questions asked in SSC exams such as SSC CGL, GD Constable, SSC MTS, etc. can vary from year to year. However, on average, there are around 2-3 questions related to the average topic in the quantitative aptitude section of these exams. It is important to note that the number of questions can vary depending on the difficulty level of the exam and the specific topics that are being emphasized in that particular year. Therefore, it is always a good idea to prepare thoroughly for all topics, including the average topic, to increase your chances of scoring well in the SSC exams.

### What is Average?

The Average is the result of multiplying the number of quantities by one another and then dividing the result by the total number of quantities.

An equal distribution of value among all, which may disperse people or things, is the fundamental definition of average. The formula we use to calculate averages is the sum of observations divided by the total number of observations.

**Average Symbol**

The average is the mean of the values represented by the average sign, often known as x̄ (x bar).

The common sign is also indicated by the symbol ‘μ’.

## Average Questions for SSC PDF

Average questions for SSC PDFs are important resources for students preparing for SSC exams or any other competitive exams that include quantitative aptitude sections. These PDFs contain a collection of average questions that are designed to help students practice and improve their skills in this topic. By solving these questions, students can gain a better understanding of the concepts related to averages, such as mean, median, mode, and range.

Practicing Average questions for SSC PDF can help students improve their speed and accuracy in solving problems related to averages. This is because these PDFs often include questions of varying difficulty levels, which can help students develop their problem-solving skills and build their confidence.

## Important Formulae to Solve Average Questions for SSC Exams

Average formulae and short tricks can significantly simplify calculations and reduce the time required to solve average-related problems. The formula for calculating the average of a set of numbers is the sum of all the numbers divided by the total number of numbers. This formula can be used to find the average of any set of numbers, regardless of the size of the set. By using formulae to solve Average questions in SSC exams, students can simplify calculations and reduce the time required to solve average-related problems. This can be especially helpful in SSC Exams such as SSC CHSL, GD where time is limited, and accuracy and speed are crucial for success.

**Formula:**

- Average: = (Sum of observations / Number of observations).

**Find the Average Speed**

- If a person covers a distance at a speed of x km/hr and the same distance at the speed of y km/hr then the average speed of the entire journey can be calculated using the following formula
- Average speed = 2xy/x+y, where x and y are the two speeds at which the same distance has been travelled.

- If a person travels A km at x km/hr, B km/hr, and C km/hr, respectively, then the average speed for the entire distance is

**When a member of the group goes away from the group and a new member enters in his/her place, then**

- Age of new person = Age of separated person + (Increase in average multiplied by the total number of individuals) if average age increases.
- Age of new person = Age of separated person - (Decrease in the average multiplied by the total number of individuals) if average age decreases.

**When a person joins the group**

- Age of new person = Age of separated person + (Increase in the average multiplied by the total number of individuals) if average age increases.
- Age of new person = Age of separated person - (Decrease in the average multiplied by the total number of individuals) if average age decreases.

**There are two situations in the Arithmetic Progression where the number of terms is odd, and one instance where the number of terms is even.**

- The middle term will be average
**when the number of terms is odd.** - The average will be calculated as the average of the two middle terms when the
**number of terms is even.**

**Other Formulae**

- Average speed formula: Average speed = Total distance travelled / Total time taken
- Average age formula: Average age = Sum of all ages / Number of people
- Average term formula: Average term = Sum of all terms / Number of terms
- Average velocity formula: Average velocity = Total displacement / Total time taken
- Average acceleration formula: Average acceleration = Change in velocity / Time taken

## Average Questions for SSC CGL with Solutions

In the SSC CGL Syllabus for Quantitative Aptitude, the Average concept plays an important role. Around 2-4 questions are asked in tier 1 and around 4-6 questions in the tier 2 exam of the SSC CGL Selection process. Average Questions for SSC CGL can also be used to simplify calculations and reduce the time required to solve problems. For example, one short trick for finding the average of a set of numbers is to add the first and last numbers in the set and divide the result by two. This trick can be used when the set of numbers is in a sequence or when the numbers are evenly spaced.

Given that the notion of averages is rather simple and well-known to all, you are likely to encounter challenging questions on this subject in SSC 2023 Exams. Let us check some of the sample Average questions for SSC CGL with solutions.

**Question 1.** The average of the set of 8 numbers is 20. 15.5 is the average of the first two numbers and is the average of the immediate next three numbers. If the sixth number is 4 and 7 less by the seventh and the eigth numbers respectively then find the eighth (8^{th}) number.

(1) 25

(2) 22

(3) 35

(4) 30

Solution:

**Short Trick:**

Sum of all = 160

Sum of first 5 = 95 coming from

the sum of last 3 = 65

x + x + 4 + x + 7 = 65

**18 + 22 + 25**

**Answer: 1**

**Question ****2: **Find the temperature of Thursday if the average temperature from Monday to Wednesday is 37^{0}C and 34^{0}C is the average temperature from Tuesday to Thursday. Please note The temperature of Thursday is times to that of Monday.

(1) 36^{0}C

(2) 33^{0}C

(3) 37^{0}C

(4) 34^{0}C

**Solution:**

**Short Trick:**

Mon + Tues + Wed = 111

Tues + Wed + Thurs + 102 (diff. = 9)

**Question ****3: **The average of any three numbers is 60. Find the first number from the given options if the first number is one-fourth of the sum of the others.

(1) 30

(2) 36

(3) 42

(4) 45

**Solution:**

x + y + z = 180 …………(i)

Putting the value of y + z in

Equation …………….(i) x + 4x = 180

5x = 180 x = 36

**Question 4: **In a particular exam, 120 applicants scored 35 marks on average. How many applicants passed the exam if the average marks of those who passed was 39 and the average score of those who failed was 15?

(1) 100

(2) 120

(3) 140

(4) 160

**Solution:**

Let the number of passed candidates be x

The total marks = 120 x 35 = 39x + (120 – x) x 15

Or, 4200 = 39x + 1800 – 15x

Or, 24x = 2400

x = 100

Number of passed candidates = 100

**Short Trick:**

Pass Fail

39 15

\ /

35

/ \

20 4

** 5 : 1**

Hence, the total number of passed candidates

**Question 5: **When one of the eight people, who weighed 56 kg, is replaced with a new individual, the eight people's average weight increases by 2.5 kg. The new man's weight is

(1) 73 kg

(2) 72 kg

(3) 76 kg

(4) 80 kg

**Solution: **

Aw_{2} – AW_{1} = 2.5

Total weight_{1} – Total weight_{2 } = 20.0 kgs

This difference is because of the new man.

Hence the weight of the new man = 56 + 20 = 76 kgs.

**Short Trick:**

56 + 8 x 2.5

= 76 kgs

## Average Questions for SSC GD

Average Questions for the SSC GD exam, provided below, are important for students preparing for SSC exams or any other competitive exams that include quantitative aptitude sections. They can help students improve their skills, speed, and accuracy in solving problems related to averages, which can ultimately lead to better scores in exams.

1. A group of 20 students weighs on average 54 kg. What will be the average weight (in kg) of the remaining students in the group if 12 students with an average weight of 52 kg join the group and 7 students with an average weight of 56 kg leave the group?

A. 53.84B. 51.96

C. 52.48

D. 54.24

Answer ||| C

2. A, B, and C are currently 60 years old on average, although B and C are 50 years old. What is the current age of A?

A. 80 yearsB. 60 years

C. 75 years

D. 45 years

Answer ||| A

3. 48 is the average of 48 numbers. Later, it was discovered that observation 48 was calculated in two locations as observation 84. Find the correct average value.

A. 47.25B. 46.5

C. 84

D. 49.5

Answer ||| B

4. Five consecutive even numbers, on average, come out to 36. What is the average of all the numbers if the following five odd numbers in a row are included?

A. 39B. 41.25

C. 40.5

D. 37.75

Answer ||| C

5. The average value of 19 is 24. The first eight digits' average is 26.5 whereas the last twelve numbers' average is 21.5. What will the average (accurate to one decimal place) of the remaining numbers be if the eighth number is extended?

A. 24.6B. 25.2

C. 22.8

D. 23.4

Answer ||| A

6. 63 is the average of 41 numbers. The first 21 numbers' average is 61.5, and the final 21 numbers' average is 65.5. What will be the average of the remaining numbers, if the twenty-first number is not included:

A. 62.475B. 63.5

C. 62.5

D. 63.575

Answer ||| A

If you want to attempt more SSC average questions, you are advised to attempt SSC mock tests. Attempting mock test will clear your concepts and help you build a better grasp on it.

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