Mathematics MCQ
Average MCQ for SSC CGL, CHSL, CPO, MTS & GD Exams
Master Average with 48 high-yield multiple choice questions from previous year SSC papers. Practice weighted average, average of groups, and missing-value problems with instant answer feedback and detailed explanations.
Mastering Average for SSC Exams
Average is one of the most frequently asked topics in the Mathematics section across SSC CGL, CHSL, CPO, MTS, and GD exams. It tests your ability to compute the mean of a set of numbers, combine averages of different groups, and find a missing value when the overall average is known.
Core Formulas
- Average: Average = (Sum of observations) ÷ (Number of observations).
- Combined Average: When two groups of sizes n₁ and n₂ have averages a₁ and a₂, the combined average = (n₁a₁ + n₂a₂) ÷ (n₁ + n₂).
- Average after change: If each observation is multiplied by k, the new average is k × old average. If a constant c is added/subtracted from each, the average shifts by c.
- Missing value: If the average of n numbers is A and one value x is unknown, x = nA − (sum of the known n−1 values).
The average weight of men A, B and C is kg. Another man D joins the group and the average now becomes kg. If another man E whose weight is kg more then that of D, replaces A, then the average weight of B, C, D and E becomes kg. Then weight of A is
The average weight of persons increases by kg when a new person comes in place of one of them weighing kg. The weight of the new person is
A man bought articles at Rs. each, at Rs. each and at Rs. each. The average price per article is
The average monthly expenditure of a family is Rs , during first three months, Rs , during next four months and Rs , during last five months of the year. If the total savings during the year was Rs ,, what is the average monthly income?
If average of observations , , ....., is y, then the average of - , - , - , ....., is
The average of numbers is and that of other numbers is The average of all the numbers is
The average of numbers is If each number is multiplied by , then the average of the new set of numbers will be
The average weight of A, B and C is kg. If the average weight of A and B be kg and that of B and C be kg, then the weight (in kg) of B is
The average of all the numbers between and which are divisible by is
The average of the marks obtained in an examination by students was and by other students was The average marks of all students was:
There are two groups A and B of a class, consisting of and students respectively. If the average weight of group A is kg and that of group B is kg, find the average weight of the whole class.
The average of numbers is and the average of first five is The average of the rest is
The average weight of five persons sitting in a boat is kg. The average weight of the boat and the persons sitting in the boat is 52kg. What is the weight of the boat?
kg of rice costing Rs. per kg is mixed with kg of rice costing Rs. per kg. The average per kg price of mixed rice is
Total weekly emoluments of the workers of a factory is Rs. Average weekly emolument of a worker is Rs. The number of workers in the factory is:
The average of x numbers is and the average of y numbers is So the average of all the numbers taken together is
Find the average of , , , ,
The average weight of oarsmen in a boat is increased by kg when one of the crew, who weighs kg is replaced by a new man. Find the weight of the new man (in kg).
A student was asked to find the arithmetic mean of the following numbers: , , , , , , , , , , and x. He found the mean to be The value of x will be:
A librarian purchased story-books for his library. But he saw that he could get more books by spending Rs. more and the average price per book would be reduced by Re. The average price (in Rs.) of each book he bought, was :
Six friends have an average height of cms. A boy with height cm leaves the group. Find the new average height.
The arithmetic mean of the following numbers , , , , , , , , , , , , , , , , , , , and , , , , , , is
A library has an average number of visitors on Sunday and on other days. The average number of visitors per day in a month of days beginning with Sunday is :
The mean high temperature of the first four days of a week is °C whereas the mean of the last four days is °C. If the mean temperature of the whole week is °C then the temperature on the 4th day is
The average marks of boys of section A of class X is whereas the average marks of boys of section B of class X is The average marks for both the sections combined together is
The mean of observations is One more observation is included and the new mean becomes The 10th observation is
The average marks of students in a class is The average marks of boys and girls in that subject are and respectively. The number of boys in the class is
The average marks obtained by a class of students is The average marks of half of the students is found to be The average marks of the remaining students is
The average of n numbers , , .... xn is x̄. Then the value of sum_{i=1}^{n} (xi - x̄) is equal to
The average of some natural numbers is If is added to first number and is subtracted from the last number the average becomes then the number of natural number is
Out of boys, are each of m cm height, are of m cm and rest are of m cm. The average height of all of them is
The average of numbers is If each of the numbers is multiplied by , find the average of new set of numbers.
Six tables and twelve chairs were bought for Rs , If the average price of a table is Rs , then the average price of a chair would be
The average of numbers is The average of these numbers and other new numbers is The average of the four new numbers will be
The average monthly salary of all the employees in an industry is Rs , The average salary of male employees is Rs , and that of female employees is Rs , What is the ratio of male employees to female employees?
If the average marks of three batches of , and students respectively is , and , then the average marks of all the students is
Three Science classes A, B and C take a Life Science test. The average score of class A is The average score of class B is The average score of class C is The average score of class A and B is and average score of class B and C is Then the average score of classes A, B and C is
The average weight of A, B and C is kg. If the average weight of A and B be kg and that of B and C be kg, then the weight of B is :
If the average weight of students is kg; that of students is kg; and that of other students is kg; then the average weight of all students is
The average of x numbers is y and average of y numbers is x. Then the average of all the numbers taken together is
The average of results is and the average of other results is What is the average of all the results?
The average weight of first persons among persons is kg. The weight of 12th person is kg more than the average weight of all the persons. The weight of the 12th person is
The average of numbers is The average of the first numbers is and that of the next numbers is The last number is
There are students in sections A, B and C of a class. The average marks of all the sections was The average of B and C was and the average marks of A was The number of students in A was
The average of marks obtained by candidates in a certain examination is If the average marks of passed candidates is and that of the failed candidates is , what is the number of candidates who passed the examination?
The average income of persons is Rs. and that of another persons is Rs. The average income of the whole group is:
boys and girls spent Rs on the average, of which boys spent Rs on the average. Then the average amount spent by the girls is
The average of , , , , , , ........ to terms is
Answer Key
Average MCQ Answers
Detailed Answer Explanations
- Q1. Answer: (C) kg.
A+B+C=252, +D=320 -> D=68, E=71. B+C+D+E=316 -> B+C=177. A=252-177=75 kg. - Q2. Answer: (C) kg
Total increase=8*2.5=20 kg. New person=65+20=85 kg. - Q3. Answer: (C) Rs.
Total=13*70+15*60+12*65=2590, n=40, avg=2590/40=Rs. - Q4. Answer: (A) Rs ,
Expenditure=3×××3120=32400; income=32400+1260=33660; avg=33660/12=2805. - Q5. Answer: (B) y -
Subtracting from each shifts avg by → - Q6. Answer: (A)
Total = × + × = ; avg = = - Q7. Answer: (D)
Mult each by → new avg=7*12=84. - Q8. Answer: (A)
A+B+C=135, A+B=80, B+C=86. B=80+86-135=31 kg. - Q9. Answer: (C)
Terms step5, n=8; sum=220; avg=220/8=27.5. - Q10. Answer: (C)
Total marks=8*51+9*68=1020, avg=1020/17=60. - Q11. Answer: (C) kg
Total wt=42××40=2170; avg=2170/70=31 kg. - Q12. Answer: (B)
Sum20=20×15=300, first5=5×12=60; rest sum=240, avg=240/15=16. - Q13. Answer: (B) kg
Persons wt=5*38=190; boat+persons=52*6=312; boat=312-190=122 kg. - Q14. Answer: (D) Rs.
Total cost=12*30+8*40=680, kg=20, avg=680/20=Rs. - Q15. Answer: (C)
Workers=1534/118=13. - Q16. Answer: (B) xy
Sum=xy^2+yx^2=xy(x+y), n=x+y, avg=xy. - Q17. Answer: (C)
Sum=1.11+0.01+0.101+0.001+0.11=1.332; avg=1.332/5=0.2664. - Q18. Answer: (D)
Total increase=15*1.6=24 kg. New man=42+24=66 kg. - Q19. Answer: (B)
Sum known nos=137, total=12*12=144, x=144-137=7. - Q20. Answer: (A)
50x+76=64(x-1) -> 14x=140 -> x=10 (original avg price Rs.10). - Q21. Answer: (A) cm
Total=6*167=1002. Remove : 840/5=168 cm. - Q22. Answer: (B)
Sum=1+4+9+12+20+36+49=131, count=26; avg=131/26≈ - Q23. Answer: (B)
Sundays× + days× = ; avg = = - Q24. Answer: (B) °C
4*25+4*25.5-day4=7*25.2 -> 100+102-176.4=25.6°C (4th day). - Q25. Answer: (B)
Total=32*60+40*33=3240, n=72, avg=3240/72=45. - Q26. Answer: (B)
Sum9=9×16=144; sum10=10×17=170; 10th obs=170-144=26. - Q27. Answer: (D)
70b+75(50-b)=72*50 -> -5b=-150 -> b=30 boys. - Q28. Answer: (A)
Total=60*65=3900. Half(30)@85=2550. Rest=3900-2550=1350/30=45. - Q29. Answer: (B)
Sum of deviations from mean always zero → - Q30. Answer: (C)
Let n numbers, sum=15n. New sum=15n+25, new avg=17.5: (15n+25)/n=17.5 -> 2.5n=25 -> n=10. - Q31. Answer: (B) m cm
Sum(cm)=6×××12=242; avg=242/20=12.1cm → m cm. - Q32. Answer: (A)
Each × scales avg same way: new avg=27×8=216. - Q33. Answer: (A) Rs
Total=7800, tables=6×750=4500; chair avg=(7800-4500)/12=275. - Q34. Answer: (C)
Sum104=104×50=5200; sum100=4400; 4-new sum=800; avg=800/4=200. - Q35. Answer: (D) :
Alligation: :(15000-12000)=4000:3000=4: - Q36. Answer: (A)
Total=55*50+60*55+45*60=8750, students=160, avg=8750/160=54.69. - Q37. Answer: (D)
Ratio a:b:c=3:: (from 83a+76b=79(a+b), 76b+85c=81(b+c)). Sum=249+304+425=978, /12=81.5. - Q38. Answer: (B) kg.
Same setup as : A+B+C=135, A+B=80, B+C=86. B=31 kg. - Q39. Answer: (D) kg
Total=6*50+2*51+2*55=512, n=10, avg=51.2 kg. - Q40. Answer: (B) 2xy/(x + y)
Sum=xy+yx=2xy, n=x+y, avg=2xy/(x+y). - Q41. Answer: (A)
Total=30*20+20*30=1200, n=50, avg=1200/50=24. - Q42. Answer: (C) kg
Sum11=11×95=1045; 1045+(x+33)=12x → x=98; 12th person=98+33=131 kg. - Q43. Answer: (A)
Sum30=450; first18=180; next11=220; last=450-400=50. - Q44. Answer: (A)
70a+87.5(100-a)=8400 → -17.5a=-350 → a=20. - Q45. Answer: (A)
35p+10(100-p)=3000 -> 25p=2000 -> p=80 passed. - Q46. Answer: (C) Rs.
Total=40*4200+35*4000=308000, n=75, avg=308000/75=4106 - Q47. Answer: (D) Rs
Total=7×120=840, boys=4×150=600; girls avg=(840-600)/3=80. - Q48. Answer: (C)
Sum of odd terms=25^2=625. Average=625/25=25.
Why Practice Average MCQs for SSC?
Average is one of the most scoring and predictable topics in the Mathematics section of SSC exams. Regular practice helps you combine group averages quickly, avoid arithmetic traps, and solve missing-value problems accurately. At Shortcut Maths in Jadavpur, Kolkata, we recommend solving topic-wise MCQs to improve speed and accuracy.
Key Average Topics Covered in These 48 MCQs
- Basic Average: Mean of a set of numbers, sum from average.
- Combined Average: Average of two or more groups of different sizes.
- Average after Operation: Effect of multiplying, adding, or subtracting a constant.
- Missing Value: Find an unknown term from the known average.
- Average of Natural/Consecutive Numbers: Shortcut rules for series.
Recommended Study Plan for SSC Maths
- Step 1 - Learn Concepts: Understand average, weighted average, and the effect of operations on averages.
- Step 2 - Practice MCQs: Solve this 48-question Average MCQ set and review the detailed explanations.
- Step 3 - Attempt Mock Tests: Test your speed on exam-like mocks. Visit our Online Mock Tests section for SSC, Bank and Railway practice tests.
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Frequently Asked Questions
Q1. How many Average MCQs are given on this page?
This page contains 48 carefully selected Average MCQs with answers and detailed explanations for SSC and other competitive exam preparation.
Q2. Are these Average MCQs useful for SSC CGL and CHSL exams?
Yes. Average is a high-weight topic in the SSC CGL, CHSL, CPO, MTS and GD Quantitative Aptitude section, and these MCQs are taken from previous year SSC papers.
Q3. Can I see the answer key with explanations for all 48 questions?
Yes. Scroll to the Answer Key section below the quiz, or click "Show All Answers" above the quiz to reveal all correct options instantly.
Q4. Where can I get classroom coaching for Maths and other subjects?
Join Shortcut Maths SSC Coaching in Jadavpur, Kolkata for expert Quantitative Aptitude, Reasoning, English and General Awareness classes.
Q5. How should I use these MCQs for best results?
Attempt all 48 questions in quiz mode first, then review the detailed explanations for the ones you got wrong, and revise the core Average formulas before taking a full mock test.
Last updated: July 23, 2026. For maths coaching and doubt clearing, contact Shortcut Maths, Jadavpur, Kolkata 700032. Call +91-9804490328 or WhatsApp us.
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