Q 1 Mathematics Averages
What is the mean of 10, 16, 20, and 22?
View answer & explanation Ans: 17
Correct Answer: 17
(10 + 16 + 20 + 22) / 4 = 68 / 4 = 17.
From: CSS MPT 2027 Practice Set — Sir Adnan 300 One-Liners with Answers (2027) · CSS
Topic MCQs · Mathematics
Averages MCQs
92 MCQs on Averages sit in the GK360 bank, collected from 55 solved papers (2002–2027). Below are the top 86 distinct questions — repeats across papers merged into their strongest version — with the correct answer marked, an explanation where the bank carries one, and the source paper named on every card.
Q 2 Mathematics Averages
If one student leaves a class, how is the new average calculated?
View answer & explanation Ans: Subtract the leaving student's marks from the total, then divide by the remaining students
Correct Answer: Subtract the leaving student's marks from the total, then divide by the remaining students
The new average removes the departed student's marks from the total before dividing by the reduced class size.
From: CSS MPT 2027 Practice Set — Sir Adnan Pack 2 One-Liners with Answers (2027) · CSS
Q 3 Mathematics Averages
The average of 7, 13, 17, x, and 29 is 18. What is the value of x?
View answer & explanation Ans: 24
Correct Answer: 24
(7 + 13 + 17 + x + 29) ÷ 5 = 18 gives 66 + x = 90, so x = 24.
From: CSS MPT 2027 Practice Set — Sir Adnan Pack 2 One-Liners with Answers (2027) · CSS
Q 4 Mathematics Averages
Average of 4, 8, 12, 16 is:
View answer & explanation Ans: 10
Correct Answer: 10
(4 + 8 + 12 + 16) ÷ 4 = 40 ÷ 4 = 10.
From: CSS MPT 2026 Full Mock Test — Solved MCQs with Answers (2026) · CSS
Q 5 Mathematics Averages
The average of 10, 20, 30?
View answer & explanation Ans: 20
Correct Answer: 20
The average is (10 + 20 + 30) ÷ 3 = 60 ÷ 3 = 20.
From: CSS MPT 2026 Most Expected MCQs — Practice Set (Islamiat, English & General Abilities Portions) (2026) · CSS
Q 6 Mathematics Averages
Average of four numbers is 24. What is their sum?
View answer & explanation Ans: 96
Correct Answer: 96
Sum = average × count = 24 × 4 = 96.
From: CSS MPT 2026 Practice Set — Sir Adnan 300 One-Liners with Answers (2026) · CSS
Q 7 Mathematics Averages
The average of 10 students is 80. After adding 5 new students, the average of 15 students increases to 85. What is the total score of the new students?
View answer & explanation Ans: 475
Correct Answer: 475
Initial total: 800. Final total: 15*85 = 1275. Difference = 1275 - 800 = 475.
From: PPSC Assistant (BS-16) Past Paper 2025 Solved (2025) · PPSC
Q 8 Mathematics Averages
There are four numbers. The average of the first three is 17, and the average of the last three is 14. What is the value of the first number if the last number is 14?
View answer & explanation Ans: 23
Correct Answer: 23
Sum of first three = 51. Sum of last three = 42. Subtracting these gives (First - Last) = 9. If Last = 14, First = 23.
From: PPSC Assistant Director Punjab Small Industries Corporation Past Paper 2025 (2025) · PPSC
Q 9 Mathematics Averages
Three years ago, the average age of a family of 5 members was 17 years. A baby was born, and the current average age is the same as three years ago. What is the present age of the baby?
View answer & explanation Ans: 2
Correct Answer: 2
Original total age 3 years ago = 5*17 = 85. Current age of original members = 85 + (3*5) = 100. New total age for 6 members = 6*17 = 102. Baby's age = 102 - 100 = 2.
From: PPSC Punjab Enforcement and Regulatory Authority (PERA) Enforcement/Investigation Officer Past Paper 2025 (2025) · PPSC
Q 10 Mathematics Averages
The average of the first 100 natural numbers is:
View answer & explanation Ans: 50.5
Correct Answer: 50.5
The sum of the first n natural numbers is n(n+1)/2. The average is (n+1)/2. For n=100, (100+1)/2 = 50.5.
From: PPSC Assistant (BS-16) S&GAD and Punjab Police Past Paper 2024 Solved (2024) · PPSC
Q 11 Mathematics Averages
The average weight of 7 people is 70 kg. If one person weighing 80 kg is replaced by a person weighing 60 kg, what is the new average weight?
View answer & explanation Ans: 67 kg
Correct Answer: 67 kg
Total initial weight = 490 kg. New weight = 490 - 80 + 60 = 470 kg. New average = 470 / 7 = 67 kg.
From: PPSC Assistant (BS-16) S&GAD Past Paper 2024 Solved (2024) · PPSC
Q 12 Mathematics Averages
A student has obtained 75%, 80%, and 85% in three subjects. If the marks of another subject are added, his average can't be less than 80%. What are the minimum marks required in the fourth subject?
View answer & explanation Ans: 80
Correct Answer: 80
To maintain an 80% average across 4 subjects, the total marks needed are 320. The sum of the first three is 240. He needs 320 - 240 = 80 in the fourth subject.
From: PPSC Assistant S&GAD Past Paper 2024 Solved (2024) · PPSC
Q 13 Mathematics Averages
The average age of A, B, C, D and E is 40 years. The average age of A and B is 35 years and the average of C and D is 42 years. Age of E is:
View answer & explanation Ans: 46 years
Correct Answer: 46 years
Total sum = 5*40 = 200. A+B sum = 2*35 = 70. C+D sum = 2*42 = 84. Age of E = 200 - (70+84) = 46.
From: PPSC Media Monitoring Officer Past Paper 2024 Solved (2024) · PPSC
Q 14 Mathematics Averages
If the mean of 7 terms is 40, the sum of those terms will be:
View answer & explanation Ans: 280
Correct Answer: 280
The sum is calculated by multiplying the mean by the number of terms. 40 multiplied by 7 equals 280.
From: PPSC PMS S&GAD Past Paper 2024 Solved (2024) · PPSC
Q 15 Mathematics Averages
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, and 60, then the average marks of all the students is:
View answer & explanation Ans: 54.68
Correct Answer: 54.68
Calculate total marks: (55*50)+(60*55)+(45*60) = 2750+3300+2700 = 8750. Total students: 55+60+45=160. Average = 8750/160 = 54.68.
From: PPSC PMS S&GAD Past Paper 2024 Solved (2024) · PPSC
Q 16 Mathematics Averages
The average value of A and B is 50000, that of B and C is 60000 and average of A and C is 55000. Find the value of B:
View answer & explanation Ans: 55000
Correct Answer: 55000
A+B = 100k, B+C = 120k, A+C = 110k. Summing them: 2(A+B+C) = 330k, so A+B+C = 165k. B = (A+B+C) - (A+C) = 165k - 110k = 55k.
From: PPSC Assistant (BS-16) Board of Revenue Past Paper 2023 Solved (2023) · PPSC
Q 17 Mathematics Averages
The average height of five pupils is 68 inches. If one is 70 inches and three others are 76 inches, then what is the height of the fifth pupil?
View answer & explanation Ans: 42
Correct Answer: 42
Total height = 5 * 68 = 340. The sum of the four known heights = 70 + (76 * 3) = 298. Fifth pupil's height = 340 - 298 = 42 inches.
From: PPSC Assistant (BS-16) Board of Revenue Past Paper 2023 Solved (2023) · PPSC
Q 18 Mathematics Averages
The average run of 8 players is 6.5. When 2 new players are included, the average increases by 1. What is the average run of the 2 new players?
View answer & explanation Ans: 11.5
Correct Answer: 11.5
Sum of 8 players = 52. Average of 10 players = 7.5, so sum = 75. Difference = 23. Average of 2 new players = 23 / 2 = 11.5.
From: PPSC Canal Patwari Past Paper 2023 Solved MCQs (2023) · PPSC
Q 19 Mathematics Averages
The average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new man. Then the weight of the new man is:
View answer & explanation Ans: 60
Correct Answer: 60
Total weight increase is 10 * 1.5 = 15 kg. Thus, the new man's weight is 45 + 15 = 60 kg.
From: PPSC Junior Clerk BS-11 Board of Revenue Past Paper 2023 Solved (2023) · PPSC
Q 20 Mathematics Averages
The mean weight of 100 students in a class is 46 kg. The mean weight of boys is 50 and of girls is 40 kg. Therefore, the number of boys is:
View answer & explanation Ans: 60
Correct Answer: 60
Let boys be b. 50b + 40(100-b) = 4600. 10b = 600, hence b = 60.
From: PPSC Assistant (BS-16) CPD Public Prosecutors Past Paper 2022 Solved (2022) · PPSC
Q 21 Mathematics Averages
A shopkeeper purchases 5 cartoons in 105 rupees and 8 cartoons in 155 rupees. If a cartoon contains 5 items, then average price per item is:
View answer & explanation Ans: None of these
Correct Answer: None of these
Total cartoons = 13. Total items = 65. Total cost = 260. Average = 260 / 65 = Rs. 4 per item.
From: PPSC Assistant (BS-16) CPD Public Prosecutors Past Paper 2022 Solved (2022) · PPSC
Q 22 Mathematics Averages
The average of the first five multiples of 9 is:
View answer & explanation Ans: 27
Correct Answer: 27
The first five multiples are 9, 18, 27, 36, 45. Their sum is 135. Average = 135 / 5 = 27.
From: PPSC Assistant (BS-16) CPD Public Prosecutors Past Paper 2022 Solved (2022) · PPSC
Q 23 Mathematics Averages
David obtained 76, 65, 82, 67, and 85 marks (out of 100) in five subjects. What are his average marks?
View answer & explanation Ans: 75
Correct Answer: 75
The total sum of marks is 375. Dividing by the 5 subjects gives an average of 75.
From: PPSC Assistant (BS-16) Past Paper 2022 Solved & Explained (2022) · PPSC
Q 24 Mathematics Averages
The mean of five numbers is 18. If one number is excluded, then their mean is 16. The excluded number is:
View answer & explanation Ans: 26
Correct Answer: 26
Sum of 5 numbers = 5 * 18 = 90. Sum of 4 numbers = 4 * 16 = 64. Excluded number = 90 - 64 = 26.
From: PPSC Assistant Director Processing Agriculture Department Past Paper 2022 Solved (2022) · PPSC
Q 25 Mathematics Averages
The average marks of four subjects is 120. If 33 was misread as 13 during the calculation, what will be the correct average?
View answer & explanation Ans: 125
Correct Answer: 125
The total sum needs to increase by (33 - 13) = 20. The increase in average is 20 / 4 = 5. So, correct average is 120 + 5 = 125.
From: PPSC Assistant Industries Department Past Paper 2022 Solved (2022) · PPSC
Q 26 Mathematics Averages
A batsman makes 80 runs in his 12th inning, increasing his average by 3. What is his average after the 12th inning?
View answer & explanation Ans: 47
Correct Answer: 47
Total increase in runs = 12 * 3 = 36. Previous average = 80 - 36 = 44. New average = 44 + 3 = 47.
From: PPSC Junior Clerk Punjab Police Past Paper 2022 Solved (2022) · PPSC
Q 27 Mathematics Averages
The average of 6 numbers is 30. If the average of the first four is 25 and that of the last three is 35, the fourth number is:
View answer & explanation Ans: 25
Correct Answer: 25
Sum of 6 = 180. Sum of first 4 = 100. Sum of last 3 = 105. Fourth number = (100 + 105) - 180 = 25.
From: PPSC Store Officer (BS-16) Agriculture Department Past Paper 2022 Solved (2022) · PPSC
Q 28 Mathematics Averages
The average age of 20 students is 12 years. If the teacher's age is included, the average increases by one. The age of the teacher is:
View answer & explanation Ans: 33 years
Correct Answer: 33 years
Total age of 20 students is 20*12=240. With the teacher, total age is 21*13=273. The teacher's age is 273 - 240 = 33 years.
From: PPSC Various Posts (BS-17 & BS-18) Past Paper 2022 Solved (2022) · PPSC
Q 29 Mathematics Averages
The average run of a cricket player in 10 innings was 33. How many runs must he make in his next innings so as to increase his average of runs by 3?
View answer & explanation Ans: 66
Correct Answer: 66
Current total = 33 * 10 = 330. Target average = 36 over 11 innings. Target total = 36 * 11 = 396. Needed runs = 396 - 330 = 66.
From: PPSC Various Posts Past Paper 2022 Solved (2022) · PPSC
Q 30 Mathematics Averages
The average income of A and B is 50000 and average income of B and C is 60000 and Average income of A and C is 55000. What is the income of B?
View answer & explanation Ans: 55000
Correct Answer: 55000
A+B=100k, B+C=120k, A+C=110k. Sum of all is 2(A+B+C) = 330k, so A+B+C = 165k. B = (A+B+C) - (A+C) = 165k - 110k = 55,000.
From: PPSC Various Posts Past Paper 2022 Solved (2022) · PPSC
Q 31 Mathematics Averages
The average of 50 numbers is 30. If two numbers, 35 and 25, are discarded, then the average of the remaining numbers is:
View answer & explanation Ans: 30
Correct Answer: 30
Total sum = 50 x 30 = 1500. Sum of discarded = 35 + 25 = 60. New sum = 1440. New average = 1440 / 48 = 30.
From: PPSC Assistant (BS-16) Disaster Management Department (Board of Revenue) Past Paper 2021 Solved (2021) · PPSC
Q 32 Mathematics Averages
The average runs of a cricket player in 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
View answer & explanation Ans: 76
Correct Answer: 76
Current total = 10 x 32 = 320. New average = 36 over 11 innings = 396. Required runs = 396 - 320 = 76.
From: PPSC Assistant (BS-16) Disaster Management Department (Board of Revenue) Past Paper 2021 Solved (2021) · PPSC
Q 33 Mathematics Averages
The mean weight of 100 students in a class is 46 kg. The mean weight of boys is 50 kg and of girls is 40 kg. Therefore, the number of boys is:
View answer & explanation Ans: 60
Correct Answer: 60
Using alligation or basic algebra: 50x + 40(100-x) = 4600. 10x = 600, so x (boys) = 60.
From: PPSC Assistant Director Administration Past Paper 2021 Solved (2021) · PPSC
Q 34 Mathematics Averages
The average age of A, B, C, D and E is 40 years. The average age of A and B is 35 years and the average of C and D is 42 years. The age of E is:
View answer & explanation Ans: 46
Correct Answer: 46
Total sum = 5 * 40 = 200. Sum of A+B = 70. Sum of C+D = 84. E's age = 200 - 70 - 84 = 46.
From: PPSC Assistant Director Administration Past Paper 2021 Solved (2021) · PPSC
Q 35 Mathematics Averages
At 3:00 AM, the temperature was 13°C below zero but by noon it had risen to 32°C. Therefore, the average hourly increase in temperature was:
View answer & explanation Ans: 5°C
Correct Answer: 5°C
Total rise = 32 - (-13) = 45 degrees. Total time from 3 AM to noon = 9 hours. Average rise = 45 / 9 = 5 degrees per hour.
From: PPSC Assistant Sub Inspector (Punjab Police) Past Paper 2021 Solved (2021) · PPSC
Q 36 Mathematics Averages
What is the average of the numbers: 0, 0, 4, 10, 5, and 5?
View answer & explanation Ans: 4
Correct Answer: 4
The sum of the six numbers is 24. Average = Total Sum / Total Items = 24 / 6 = 4.
From: PPSC Assistant Women Development Department Past Paper 2021 Solved (2021) · PPSC
Q 37 Mathematics Averages
A class had 14 boys with an average height of 5.3 feet. A new boy joined, making the average of the 15 boys 5.25 feet. How tall was the new boy?
View answer & explanation Ans: 4.55 feet
Correct Answer: 4.55 feet
Total initial height = 14 * 5.3 = 74.2 ft. New total height = 15 * 5.25 = 78.75 ft. Height of new boy = 78.75 - 74.2 = 4.55 ft.
From: PPSC Assistant Women Development Department Past Paper 2021 Solved (2021) · PPSC
Q 38 Mathematics Averages
There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class?
View answer & explanation Ans: 37.25 kg
Correct Answer: 37.25 kg
Total weight = (36*40) + (44*35) = 1440 + 1540 = 2980 kg. Total students = 36 + 44 = 80. Average = 2980 / 80 = 37.25 kg.
From: PPSC Head Clerk and Assistant HUD & PHED Past Paper 2021 Solved (2021) · PPSC
Q 39 Mathematics Averages
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is:
View answer & explanation Ans: 35
Correct Answer: 35
Total of 5 numbers = 5 * 27 = 135. Total of remaining 4 numbers = 4 * 25 = 100. Excluded number = 135 - 100 = 35.
From: PPSC Head Clerk and Assistant HUD & PHED Past Paper 2021 Solved (2021) · PPSC
Q 40 Mathematics Averages
The average age of 3 friends is 23. If the age of a 4th friend is added, the average remains 23. What is the age of the 4th friend?
View answer & explanation Ans: 23
Correct Answer: 23
Sum of 3 friends = 69. Sum of 4 friends = 92. The age of the 4th friend is 92 - 69 = 23.
From: PPSC Junior Clerk (BS-11) Board of Revenue Past Paper 2021 Solved (2021) · PPSC
Q 41 Mathematics Averages
In the set S = {0, 2, 4, 5, 9}, if one number is skipped, the average of the remaining numbers is the same as the original average. Which number is skipped?
View answer & explanation Ans: 4
Correct Answer: 4
Original sum = 20, average = 4. Removing the number 4 leaves a sum of 16 for 4 items, keeping the average at 4.
From: PPSC Junior Clerk (BS-11) Board of Revenue Past Paper 2021 Solved (2021) · PPSC
Q 42 Mathematics Averages
A student obtains 75%, 80% and 85% in three subjects, if the marks of another subject are added then the average number can't be less than:
View answer & explanation Ans: 60%
Correct Answer: 60%
Total sum = 75 + 80 + 85 = 240. If the 4th subject is 0%, the minimum possible average is 240 / 4 = 60%.
From: PPSC Office Assistant (BS-16) HUD & PHE Department Past Paper 2021 Solved (2021) · PPSC
Q 43 Mathematics Averages
When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?
View answer & explanation Ans: 57
Correct Answer: 57
Let the average of 59 students be x. Total weight is 59x. Original total for 60 students was 59x + 45. Average was (59x + 45)/60 = x - 0.2. Solving yields x = 57.
From: PPSC Assistant Anti-Corruption Establishment Past Paper 2020 Solved (2020) · PPSC
Q 44 Mathematics Averages
The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man. The weight of the new man is:
View answer & explanation Ans: 76 kg
Correct Answer: 76 kg
Total weight increase = 8 persons * 2.5 kg = 20 kg. To cause this increase, the new man must weigh 20 kg more than the person he replaced (56 kg). So, 56 + 20 = 76 kg.
From: PPSC Assistant Police Department Past Paper 2020 Solved (2020) · PPSC
Q 45 Mathematics Averages
Find the average of the numbers 277, 278, 279, 280, 281, 282, 283.
View answer & explanation Ans: 280
Correct Answer: 280
For an arithmetic progression with an odd number of terms, the average is exactly the middle term, which in this sequence is 280.
From: PPSC Personal Assistant & Assistant (S&GAD) Past Paper 2020 Solved (2020) · PPSC
Q 46 Mathematics Averages
Average age of A and B is 30 years, that of B and C is 32 years and the average ago of C and A is 34 years. The age of C is:
View answer & explanation Ans: 36 years
Correct Answer: 36 years
Sum of A+B=60, B+C=64, C+A=68. Total sum of (A+B+C) = 192 / 2 = 96. C's age = Total(96) - (A+B)(60) = 36.
From: PPSC PMS BS-17 Past Paper 2020 Solved - General Knowledge & General Abilities (2020) · PPSC
Q 47 Mathematics Averages
If the average of 7 numbers is 40. What was the sum of the numbers?
View answer & explanation Ans: 280
Correct Answer: 280
Sum = Average × Count. Therefore, 40 × 7 = 280.
From: PPSC Service Centre Officials (PLRA) Past Paper 2020 Solved (2020) · PPSC
Q 48 Mathematics Averages
If the average of five numbers is 6.92, then the sum of numbers is:
View answer & explanation Ans: 34.6
Correct Answer: 34.6
Sum = Average × Count. Therefore, 6.92 × 5 = 34.6.
From: PPSC Ziladar Punjab Irrigation Department Past Paper 2020 Solved (2020) · PPSC
Q 49 Mathematics Averages
A student gets 60, 50, and 90 marks out of 100 in English, Physics, and Economics respectively. He needs 72% to get a scholarship. How many marks does he need to get in his final paper Maths to obtain overall 72% marks?
View answer & explanation Ans: 88
Correct Answer: 88
Total required marks for 4 subjects to average 72 = 4 * 72 = 288. Marks obtained so far = 60 + 50 + 90 = 200. Math marks needed = 288 - 200 = 88.
From: PPSC Assistant (BS-16) Labour & Human Resource Department Past Paper 2019 (Paper 2) Solved (2019) · PPSC
Q 50 Mathematics Averages
The average weight of A, B and C is 45 Kg. If the average weight of A and B is 40 Kg and that of B and C is 43 Kg, then the weight of B is:
View answer & explanation Ans: 31 Kg
Correct Answer: 31 Kg
A+B+C=135. A+B=80. B+C=86. Substitute A+B=80 into A+B+C=135 -> 80+C=135 -> C=55. Then B+55=86 -> B=31 Kg.
From: PPSC Assistant (BS-16) Planning & Development Department Past Paper 2019 Solved (2019) · PPSC
Q 51 Mathematics Averages
Find the average of all numbers between 6 and 34 which are divisible by 5:
View answer & explanation Ans: 20
Correct Answer: 20
The numbers are 10, 15, 20, 25, 30. Sum = 100. Average = 100 / 5 = 20.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 52 Mathematics Averages
Average of ten positive numbers is x. If each number is increased by 10%, then x:
View answer & explanation Ans: is increased by 10%
Correct Answer: is increased by 10%
If every item in a dataset is increased by a certain percentage, the average also increases by that exact same percentage.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 53 Mathematics Averages
Reeya obtained 65, 67, 78, 82 and 85 out of 100 in different subjects. What will be the average percentage?
View answer & explanation Ans: 75.4
Correct Answer: 75.4
Sum of marks = 377. Since it's out of 500 total marks, percentage = (377/500)*100 = 75.4%.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 54 Mathematics Averages
Find out the average of A and B if the given value of 16A + 16B = 48.
View answer & explanation Ans: 1.5
Correct Answer: 1.5
If 16(A+B) = 48, then A+B = 3. The average of two numbers is their sum divided by 2. Thus, 3/2 = 1.5.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 55 Mathematics Averages
Find the average of 8, 13, 25, 43, and 11.
View answer & explanation Ans: 20
Correct Answer: 20
The sum of the numbers is 8 + 13 + 25 + 43 + 11 = 100. There are 5 numbers, so the average is 100 / 5 = 20.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 56 Mathematics Averages
The average of four consecutive odd numbers is 24. Find the largest number:
View answer & explanation Ans: 27
Correct Answer: 27
Let numbers be x, x+2, x+4, x+6. Sum = 4x + 12 = 96. Thus 4x = 84, so x = 21. Largest = 21 + 6 = 27.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 57 Mathematics Averages
If x + y = 6, y + z = 7, and z + x = 9, the average (arithmetic mean) of x, y, and z is:
View answer & explanation Ans: 11/3
Correct Answer: 11/3
Summing the equations gives 2(x+y+z) = 22, so x+y+z = 11. The average is (x+y+z)/3 = 11/3.
From: PPSC Caretaker (BS-16) Lahore High Court Past Paper 2019 Solved (2019) · PPSC
Q 58 Mathematics Averages
The average of 5 numbers is 42. If we include a sixth number 48, then the new average will be?
View answer & explanation Ans: 43
Correct Answer: 43
Sum of 5 numbers = 42 * 5 = 210. New sum = 210 + 48 = 258. New average = 258 / 6 = 43.
From: PPSC ESE (General) (BS-14) Labour Department Past Paper 2019 Solved (2019) · PPSC
Q 59 Mathematics Averages
Find the average of 5/6, 4/3, and 3/4.
View answer & explanation Ans: 35/36
Correct Answer: 35/36
Sum = 5/6 + 8/6 + 4.5/6 = (10+16+9)/12 = 35/12. Average = (35/12) / 3 = 35/36.
From: PPSC Junior Clerk S&GAD Past Paper 2019 Solved (2019) · PPSC
Q 60 Mathematics Averages
If the arithmetic mean of 8, 12, 15, 21, x, and 11 is 17, then what is x?
View answer & explanation Ans: 35
Correct Answer: 35
The sum of the 6 numbers is 17 * 6 = 102. The sum of the known numbers is 67. Therefore, x = 102 - 67 = 35.
From: PPSC Sub Inspector (Open Merit) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 61 Mathematics Averages
If Mary traveled 116 miles on day 1, 130 miles on day 2, and 114 miles on day 3, how many miles per day did she average?
View answer & explanation Ans: 120
Correct Answer: 120
Total miles = 116 + 130 + 114 = 360. Average miles per day = 360 / 3 = 120 miles.
From: PPSC Sub Inspector (Open Merit) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 62 Mathematics Averages
3 boxes have some average weight. When one box which weighs 89 kg is replaced by another box, the average weight increases by 5 kg. How much does the new box weigh?
View answer & explanation Ans: 104 kg
Correct Answer: 104 kg
Since the average of 3 boxes increases by 5 kg, the total weight increases by 3 * 5 = 15 kg. Thus, the new box is 89 + 15 = 104 kg.
From: PPSC Sub Inspector (Service Quota) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 63 Mathematics Averages
The average of 5 quantities is 6. The average of 3 of them is 4. What is the average of the remaining 2 numbers?
View answer & explanation Ans: 9
Correct Answer: 9
Sum of 5 numbers = 5 * 6 = 30. Sum of 3 numbers = 3 * 4 = 12. Sum of remaining 2 = 30 - 12 = 18. Average of the 2 = 18 / 2 = 9.
From: PPSC Sub Inspector (Service Quota) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 64 Mathematics Averages
A Batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after the 17th inning.
View answer & explanation Ans: 39
Correct Answer: 39
Let new avg = x. Total runs = 17x. Previous total = 16(x-3). 16(x-3) + 87 = 17x. Solving gives x = 39.
From: PPSC Sub Inspector (Service Quota) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 65 Mathematics Averages
The arithmetic mean between 4 and 6 is:
View answer & explanation Ans: 5
Correct Answer: 5
The arithmetic mean is calculated by summing the values and dividing by the count: (4 + 6) / 2 = 5.
From: PPSC Sub Inspector (Service Quota) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 66 Mathematics Averages
If the average of 5, 6, 7 and x is 10, what is the value of x?
View answer & explanation Ans: 22
Correct Answer: 22
The sum of the four numbers is 10 * 4 = 40. 5 + 6 + 7 + x = 40 -> 18 + x = 40 -> x = 22.
From: PPSC Sub Inspector (Service Quota) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 67 Mathematics Averages
Average of prime numbers between 30 and 50
View answer & explanation Ans: 39.8
Correct Answer: 39.8
The primes between 30 and 50 are 31, 37, 41, 43 and 47, whose sum is 199, giving an average of 39.8.
From: Assistant Director (Batch 1) Past Paper 2018 Solved (2018) · FPSC
Q 68 Mathematics Averages
Average of first 10 multiples of 7
View answer & explanation Ans: 38.5
Correct Answer: 38.5
The first 10 multiples of 7 are 7 to 70, whose average is (7 + 70) / 2 = 38.5.
From: Assistant Director (Batch 1) Past Paper 2018 Solved (2018) · FPSC
Q 69 Mathematics Averages
Average of 10 numbers is zero; at most how many may be greater than zero?
View answer & explanation Ans: 9
Correct Answer: 9
If the average of 10 numbers is zero, at most 9 of them can be greater than zero, since one negative number must balance them.
From: Assistant Director (Batch 1) Past Paper 2018 Solved (2018) · FPSC
Q 70 Mathematics Averages
Average of six numbers is X, average of three of them is Y, average of remaining three is Z; 2X =
View answer & explanation Ans: Y + Z
Correct Answer: Y + Z
The six numbers total 6X = 3Y + 3Z, so 2X = Y + Z.
From: Assistant Director (Batch 1) Past Paper 2018 Solved (2018) · FPSC
Q 71 Mathematics Averages
There are four numbers. Average of the first three is 20 and that of the last three is 19. If the last number is 22 find the first number.
View answer & explanation Ans: 19
Correct Answer: 19
The first three numbers sum to 60 and the last three to 57, so with the last number 22 the first number is 25, which is not among the printed options, so the item is retained at the book's key (19) with this note.
From: Patrol Officer Motorways Police Past Paper 2015 Solved (2015) · FPSC
Q 72 Mathematics Averages
A Bus has an average of 30 passengers on Sundays and 40 on other days. The average number of passengers who travel in this bus in a month of 30 days starting with Sunday is:
View answer & explanation Ans: 1150
Correct Answer: 1150
A 30-day month starting on a Sunday has 5 Sundays and 25 other days, so the total is 5 times 30 plus 25 times 40, which is 1150.
From: Patrol Officer Motorways Police Past Paper 2015 Solved (2015) · FPSC
Q 73 Mathematics Averages
There are four numbers. Average of the first three is 15 and that of the last three is 1. If the last number is 19, find the first number.
View answer & explanation Ans: 16
Correct Answer: 16
With the last-three average read as 16, the last three sum to 48; with the last number 19, the middle two sum to 29, so the first number is 45 minus 29, which is 16.
From: Railway Police Inspector Past Paper 2015 Solved (2015) · NTS
Q 74 Mathematics Averages
Find the average of 2a, -3a, 4a, 6a, 11a, 13a?
View answer & explanation Ans: No one is correct
Correct Answer: No one is correct
The average of 2a, -3a, 4a, 6a, 11a and 13a is 33a divided by 6, which is 5.5a, so "No one is correct" among the offered values.
From: Assistant Director Past Paper 2013 Solved (2013) · FPSC
Q 75 Mathematics Averages
Find the average of 4a, -4a, 8a, -8a?
View answer & explanation Ans: 0
Correct Answer: 0
The average of 4a, -4a, 8a and -8a is 0 divided by 4, which is 0.
From: Assistant Director Past Paper 2013 Solved (2013) · FPSC
Q 76 Mathematics Averages
Find the average of 2x, 6x, 8x, 10x, 12x?
View answer & explanation Ans: 19x
Correct Answer: 19x
The book's key gives 19x, though the arithmetic average of 2x, 6x, 8x, 10x and 12x is 38x divided by 5, which is 7.6x and is not among the options.
From: Assistant Director Past Paper 2013 Solved (2013) · FPSC
Q 77 Mathematics Averages
Average of multiples of 10 from 10 to 190 (10 and 190 included)?
View answer & explanation Ans: 100
Correct Answer: 100
The average of an evenly spaced series is the average of its first and last terms: 10 plus 190 divided by 2 equals 100.
From: Assistant Director Past Paper 2012 Solved (2012) · FPSC
Q 78 Mathematics Averages
A grocer has a sale of Rs 6435, Rs. 6927, Rs. 6855, Rs 7230 and Rs 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
View answer & explanation Ans: Rs. 4991
Correct Answer: Rs. 4991
The five months total Rs. 34,009, and six months at Rs. 6,500 average Rs. 39,000, so the sixth month must be Rs. 4,991.
From: Public Relations Officer Past Paper 2007 Solved (2007) · FPSC
Q 79 Mathematics Averages
Nine persons went to a hotel for taking their meals 8 of them spent Rs. 12 each on their meals and the ninth spent Rs. 8 more than the average expenditure of all the nine. What was the total money spent by them?
View answer & explanation Ans: Rs. 117
Correct Answer: Rs. 117
With an average of Rs. 13, the ninth person spent Rs. 21, so the total is 8 x 12 + 21 = Rs. 117.
From: Public Relations Officer Past Paper 2007 Solved (2007) · FPSC
Q 80 Mathematics Averages
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
View answer & explanation Ans: 4000
Correct Answer: 4000
Solving P + Q = 10,100, Q + R = 12,500 and P + R = 10,400 gives P = Rs. 4,000.
From: Public Relations Officer Past Paper 2007 Solved (2007) · FPSC
Q 81 Mathematics Averages
If the average of 5,6,7 and W is 10 what is the value of W
View answer & explanation Ans: 22
Correct Answer: 22
If the average of 5, 6, 7 and W is 10, their total is 40, so W = 22.
From: Public Relations Officer Past Paper 2007 Solved (2007) · FPSC
Q 82 Mathematics Averages
There are four numbers. Average of the first three is 15 and that of the last three is 16. If the last number is 19 find the first number:
View answer & explanation Ans: 16
Correct Answer: 16
The first three numbers sum to 45 and the last three to 48; with the last number 19, the middle two sum to 29, so the first number is 45 minus 29, which is 16.
From: Inspector ASF Past Paper 2004 Solved (2004) · FPSC
Q 83 Mathematics Averages
The average of 7 consecutive numbers is 33. The largest of these number is:
View answer & explanation Ans: 36
Correct Answer: 36
The average of 7 consecutive numbers is the middle one, 33, so the largest is 33 + 3 = 36.
From: Junior Admin Officer Past Paper 2004 Solved (2004) · FPSC
Q 84 Mathematics Averages
What is the average (arithmetic mean) of the positive integers from 1 to 100, inclusive?
View answer & explanation Ans: 50.5
Correct Answer: 50.5
The average of the integers from 1 to 100 is (1 + 100)/2 = 50.5.
From: Assistant Private Secretary Past Paper 2002 Solved (2002) · FPSC
Q 85 Mathematics Averages
If 10a + 10b = 35, what is the average (arithmetic mean) of a and b?
View answer & explanation Ans: 1.75
Correct Answer: 1.75
10a + 10b = 35 gives a + b = 3.5, so their average is 3.5/2 = 1.75.
From: Assistant Private Secretary Past Paper 2002 Solved (2002) · FPSC
Q 86 Mathematics Averages
If the average (arithmetic mean) of 5, 6, 7 and w is 8, what is the value of w?
View answer & explanation Ans: 14
Correct Answer: 14
With an average of 8 over four numbers, the total is 32, so w = 32 - 5 - 6 - 7 = 14.
From: Assistant Private Secretary Past Paper 2002 Solved (2002) · FPSC
Frequently asked questions
How many Averages MCQs are there on GK360?
The bank holds 92 questions tagged "Averages" under Mathematics, drawn from 55 solved papers (2002–2027). After merging the same question asked in multiple papers, 86 are distinct; this page shows the top 86.
Which papers do these Averages questions come from?
They are pulled from the solved papers in the GK360 archive — CSS, PPSC, FPSC, NTS papers among them — and every card on this page names its source paper and year, so you can open the full paper from the Past Papers archive.
Are the answers explained?
Yes — 86 of the 86 questions shown carry a written explanation under the answer; the rest show the verified correct answer for revision. Every answer passed GK360's three-way check (printed key, worked material, standard fact).
How should I prepare Averages for one-paper exams?
Work through the questions on this page first, note the ones you miss, then attempt the same topic under a timer with the "Practice this topic" button above — it starts a timed Quiz Builder attempt on this exact subject and topic right away.