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.

SSC CGLSSC CHSLSSC CPOSSC MTSSSC GDMathematics

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).
Pro Tip for Speed: For combined-average questions, use the weighted sum directly instead of re-adding every term. For "average after multiplication" questions, just scale the known average — no need to recompute the total.
Attempted: 0 / 48Score: 0 / 48
1

The average weight of 33 men A, B and C is 8484 kg. Another man D joins the group and the average now becomes 8080 kg. If another man E whose weight is 33 kg more then that of D, replaces A, then the average weight of B, C, D and E becomes 7979 kg. Then weight of A is

A 7272 kg.
B 7474 kg.
C 7575 kg.
D 7676 kg.
2

The average weight of 88 persons increases by 2.52.5 kg when a new person comes in place of one of them weighing 6565 kg. The weight of the new person is

A 8484 kg
B 8585 kg
C 7676 kg
D 76.576.5 kg
3

A man bought 1313 articles at Rs. 7070 each, 1515 at Rs. 6060 each and 1212 at Rs. 6565 each. The average price per article is

A Rs. 60.2560.25
B Rs. 64.7564.75
C Rs. 65.7565.75
D Rs. 62.2562.25
4

The average monthly expenditure of a family is Rs 22,200200 during first three months, Rs 22,550550 during next four months and Rs 33,120120 during last five months of the year. If the total savings during the year was Rs 11,260260, what is the average monthly income?

A Rs 11,260260
B Rs 11,280280
C Rs 22,805805
D Rs 22,850850
5

If average of 2020 observations x1x1, x2x2, ....., x20x20 is y, then the average of x1x1 - 101101, x2x2 - 101101, x3x3 - 101101, ....., x20x20 101-101 is

A y - 2020
B y - 101101
C 20y20y
D 101y101y
6

The average of 3030 numbers is 4040 and that of other 4040 numbers is 30.30. The average of all the numbers is

A 3434 27\frac{2}{7}
B 3535
C 3434
D 34.534.5
7

The average of 1010 numbers is 7.7. If each number is multiplied by 1212, then the average of the new set of numbers will be

A 77
B 1919
C 8282
D 8484
8

The average weight of A, B and C is 4545 kg. If the average weight of A and B be 4040 kg and that of B and C be 4343 kg, then the weight (in kg) of B is

A 2020
B 2626
C 3131
D 1717
9

The average of all the numbers between 66 and 5050 which are divisible by 55 is

A 27.527.5
B 3030
C 28.528.5
D 2222
10

The average of the marks obtained in an examination by 88 students was 5151 and by 99 other students was 68.68. The average marks of all 1717 students was:

A 5959
B 59.559.5
C 6060
D 60.560.5
11

There are two groups A and B of a class, consisting of 4242 and 2828 students respectively. If the average weight of group A is 2525 kg and that of group B is 4040 kg, find the average weight of the whole class.

A 6969 kg
B 3131 kg
C 7070 kg
D 3030 kg
12

The average of 2020 numbers is 1515 and the average of first five is 12.12. The average of the rest is

A 1616
B 1515
C 1414
D 1313
13

The average weight of five persons sitting in a boat is 3838 kg. The average weight of the boat and the persons sitting in the boat is 52kg. What is the weight of the boat?

A 228228 kg
B 122122 kg
C 232232 kg
D 242242 kg
14

1212 kg of rice costing Rs. 3030 per kg is mixed with 88 kg of rice costing Rs. 4040 per kg. The average per kg price of mixed rice is

A Rs. 3838
B Rs. 3737
C Rs. 3535
D Rs. 3434
15

Total weekly emoluments of the workers of a factory is Rs. 1534.1534. Average weekly emolument of a worker is Rs. 118.118. The number of workers in the factory is:

A 1616
B 1414
C 1313
D 1212
16

The average of x numbers is y2y^{2} and the average of y numbers is x2.x^{2.} So the average of all the numbers taken together is

A (x3)(x^{3}) + y3(x)y^{3}\frac{}{(x)} + y)
B xy
C (x2)(x^{2}) + y2(x)y^{2}\frac{}{(x)} + y)
D xy^2 + yx^2
17

Find the average of 1.111.11, 0.010.01, 0.1010.101, 0.0010.001, 0.110.11

A 0.26640.2664
B 0.25540.2554
C 0.12640.1264
D 0.11640.1164
18

The average weight of 1515 oarsmen in a boat is increased by 1.61.6 kg when one of the crew, who weighs 4242 kg is replaced by a new man. Find the weight of the new man (in kg).

A 6767
B 6565
C 6666
D 4343
19

A student was asked to find the arithmetic mean of the following 1212 numbers: 33, 1111, 77, 99, 1515, 1313, 88, 1919, 1717, 2121, 1414 and x. He found the mean to be 12.12. The value of x will be:

A 33
B 77
C 1717
D 3131
20

A librarian purchased 5050 story-books for his library. But he saw that he could get 1414 more books by spending Rs. 7676 more and the average price per book would be reduced by Re. 1.1. The average price (in Rs.) of each book he bought, was :

A 1515
B 1010
C 2525
D 2020
21

Six friends have an average height of 167167 cms. A boy with height 162162 cm leaves the group. Find the new average height.

A 168168 cm
B 166166 cm
C 169169 cm
D 167167 cm
22

The arithmetic mean of the following numbers 11, 22, 22, 33, 33, 33, 44, 44, 44, 55, 55, 55, 55, 66, 66, 66, 66, 66, 66, and 77, 77, 77, 77, 77, 77, 77 is

A 44
B 55
C 1414
D 2020
23

A library has an average number of 510510 visitors on Sunday and 240240 on other days. The average number of visitors per day in a month of 3030 days beginning with Sunday is :

A 285285
B 295295
C 300300
D 290290
24

The mean high temperature of the first four days of a week is 2525°C whereas the mean of the last four days is 25.525.5°C. If the mean temperature of the whole week is 25.225.2°C then the temperature on the 4th day is

A 25.525.5°C
B 2525°C
C 25.225.2°C
D 25.625.6° C
25

The average marks of 3232 boys of section A of class X is 6060 whereas the average marks of 4040 boys of section B of class X is 33.33. The average marks for both the sections combined together is

A 4444
B 4545
C 4646 13\frac{1}{3}
D 4545 12\frac{1}{2}
26

The mean of 99 observations is 16.16. One more observation is included and the new mean becomes 17.17. The 10th observation is

A 99
B 1616
C 2626
D 3030
27

The average marks of 5050 students in a class is 72.72. The average marks of boys and girls in that subject are 7070 and 7575 respectively. The number of boys in the class is

A 2020
B 3535
C 2525
D 3030
28

The average marks obtained by a class of 6060 students is 65.65. The average marks of half of the students is found to be 85.85. The average marks of the remaining students is

A 3535
B 4545
C 5555
D 6565
29

The average of n numbers x1x1, x2x2, .... xn is x̄. Then the value of sum_{i=1}^{n} (xi - x̄) is equal to

A n
B 00
C n x̄
D
30

The average of some natural numbers is 15.15. If 3030 is added to first number and 55 is subtracted from the last number the average becomes 17.517.5 then the number of natural number is

A 1515
B 3030
C 2020
D 1010
31

Out of 2020 boys, 66 are each of 11 m 1515 cm height, 88 are of 11 m 1010 cm and rest are of 11 m 1212 cm. The average height of all of them is

A 11 m 12.112.1 cm
B 11 m 21.121.1 cm
C 11 m 2121 cm
D 11 m 1212 cm
32

The average of 88 numbers is 27.27. If each of the numbers is multiplied by 88, find the average of new set of numbers.

A 11281128
B 938938
C 316316
D 216216
33

Six tables and twelve chairs were bought for Rs 77,800.800. If the average price of a table is Rs 750750, then the average price of a chair would be

A Rs 250250
B Rs 275275
C Rs 150150
D Rs 175175
34

The average of 100100 numbers is 44.44. The average of these 100100 numbers and 44 other new numbers is 50.50. The average of the four new numbers will be

A 800800
B 200200
C 176176
D 2424
35

The average monthly salary of all the employees in an industry is Rs 1212,000.000. The average salary of male employees is Rs 1515,000000 and that of female employees is Rs 88,000.000. What is the ratio of male employees to female employees?

A 55 : 22
B 22 : 33
C 44 : 33
D 22 : 55
36

If the average marks of three batches of 5555, 6060 and 4545 students respectively is 5050, 5555 and 6060, then the average marks of all the students is

A 54.6854.68
B 53.3353.33
C 5555
D None of these
37

Three Science classes A, B and C take a Life Science test. The average score of class A is 83.83. The average score of class B is 76.76. The average score of class C is 85.85. The average score of class A and B is 7979 and average score of class B and C is 81.81. Then the average score of classes A, B and C is

A 81.581.5
B 8181
C 30.530.5
D 8080
38

The average weight of A, B and C is 4545 kg. If the average weight of A and B be 4040 kg and that of B and C be 4343 kg, then the weight of B is :

A 3131 kg.
B 3232 kg.
C 29.529.5 kg.
D 3535 kg.
39

If the average weight of 66 students is 5050 kg; that of 22 students is 5151 kg; and that of other 22 students is 5555 kg; then the average weight of all students is

A 6161 kg
B 51.551.5 kg
C 5252 kg
D 51.251.2 kg
40

The average of x numbers is y and average of y numbers is x. Then the average of all the numbers taken together is

A (x + y)/2xy
B 2xy/(x + y)
C (x2)(x^{2}) + y2(x)y^{2}\frac{}{(x)} + y)
D xy/(x + y)
41

The average of 3030 results is 2020 and the average of other 2020 results is 30.30. What is the average of all the results?

A 2424
B 4848
C 2525
D 5050
42

The average weight of first 1111 persons among 1212 persons is 9595 kg. The weight of 12th person is 3333 kg more than the average weight of all the 1212 persons. The weight of the 12th person is

A 128.75128.75 kg
B 128128 kg
C 131131 kg
D 97.4597.45 kg
43

The average of 3030 numbers is 15.15. The average of the first 1818 numbers is 1010 and that of the next 1111 numbers is 20.20. The last number is

A 5656
B 5252
C 6060
D 5050
44

There are 100100 students in 33 sections A, B and C of a class. The average marks of all the 33 sections was 84.84. The average of B and C was 87.587.5 and the average marks of A was 70.70. The number of students in A was

A 3030
B 3535
C 2020
D 2525
45

The average of marks obtained by 100100 candidates in a certain examination is 30.30. If the average marks of passed candidates is 3535 and that of the failed candidates is 1010, what is the number of candidates who passed the examination?

A 6060
B 7070
C 8080
D 9090
46

The average income of 4040 persons is Rs. 42004200 and that of another 3535 persons is Rs. 4000.4000. The average income of the whole group is:

A Rs. 41004100
B Rs. 41064106 13\frac{1}{3}
C Rs. 41064106 23\frac{2}{3}
D Rs. 41084108 13\frac{1}{3}
47

44 boys and 33 girls spent Rs 120120 on the average, of which boys spent Rs 150150 on the average. Then the average amount spent by the girls is

A Rs 8080
B Rs 6060
C Rs 9090
D Rs 100100
48

The average of 11, 33, 55, 77, 99, 1111, ........ to 2525 terms is

A 125125
B 2525
C 625625
D 5050

Answer Key

Average MCQ Answers

1. C
2. C
3. C
4. A
5. B
6. A
7. D
8. A
9. C
10. C
11. C
12. B
13. B
14. D
15. C
16. B
17. C
18. D
19. B
20. A
21. A
22. B
23. B
24. B
25. B
26. B
27. D
28. A
29. B
30. C
31. B
32. A
33. A
34. C
35. D
36. A
37. D
38. B
39. D
40. B
41. A
42. C
43. A
44. A
45. A
46. C
47. D
48. C

Detailed Answer Explanations

  1. Q1. Answer: (C) 7575 kg.
    A+B+C=252, +D=320 -> D=68, E=71. B+C+D+E=316 -> B+C=177. A=252-177=75 kg.
  2. Q2. Answer: (C) 7676 kg
    Total increase=8*2.5=20 kg. New person=65+20=85 kg.
  3. Q3. Answer: (C) Rs. 65.7565.75
    Total=13*70+15*60+12*65=2590, n=40, avg=2590/40=Rs. 64.75.64.75.
  4. Q4. Answer: (A) Rs 11,260260
    Expenditure=3×2200+42200+4×2550+52550+5×3120=32400; income=32400+1260=33660; avg=33660/12=2805.
  5. Q5. Answer: (B) y - 101101
    Subtracting 101101 from each shifts avg by 101101y101.y-101.
  6. Q6. Answer: (A) 3434 27\frac{2}{7}
    Total = 3030×4040 + 4040×3030 = 24002400; avg = 240070\frac{2400}{70} = 3434 27.\frac{2}{7.}
  7. Q7. Answer: (D) 8484
    Mult each by 1212 → new avg=7*12=84.
  8. Q8. Answer: (A) 2020
    A+B+C=135, A+B=80, B+C=86. B=80+86-135=31 kg.
  9. Q9. Answer: (C) 28.528.5
    Terms 10..4510..45 step5, n=8; sum=220; avg=220/8=27.5.
  10. Q10. Answer: (C) 6060
    Total marks=8*51+9*68=1020, avg=1020/17=60.
  11. Q11. Answer: (C) 7070 kg
    Total wt=42×25+2825+28×40=2170; avg=2170/70=31 kg.
  12. Q12. Answer: (B) 1515
    Sum20=20×15=300, first5=5×12=60; rest sum=240, avg=240/15=16.
  13. Q13. Answer: (B) 122122 kg
    Persons wt=5*38=190; boat+persons=52*6=312; boat=312-190=122 kg.
  14. Q14. Answer: (D) Rs. 3434
    Total cost=12*30+8*40=680, kg=20, avg=680/20=Rs. 34.34.
  15. Q15. Answer: (C) 1313
    Workers=1534/118=13.
  16. Q16. Answer: (B) xy
    Sum=xy^2+yx^2=xy(x+y), n=x+y, avg=xy.
  17. Q17. Answer: (C) 0.12640.1264
    Sum=1.11+0.01+0.101+0.001+0.11=1.332; avg=1.332/5=0.2664.
  18. Q18. Answer: (D) 4343
    Total increase=15*1.6=24 kg. New man=42+24=66 kg.
  19. Q19. Answer: (B) 77
    Sum known 1111 nos=137, total=12*12=144, x=144-137=7.
  20. Q20. Answer: (A) 1515
    50x+76=64(x-1) -> 14x=140 -> x=10 (original avg price Rs.10).
  21. Q21. Answer: (A) 168168 cm
    Total=6*167=1002. Remove 162162: 840/5=168 cm.
  22. Q22. Answer: (B) 55
    Sum=1+4+9+12+20+36+49=131, count=26; avg=131/26≈5.5.
  23. Q23. Answer: (B) 295295
    55 Sundays×510510 + 2525 days×240240 = 85508550; avg = 855030\frac{8550}{30} = 285.285.
  24. Q24. Answer: (B) 2525°C
    4*25+4*25.5-day4=7*25.2 -> 100+102-176.4=25.6°C (4th day).
  25. Q25. Answer: (B) 4545
    Total=32*60+40*33=3240, n=72, avg=3240/72=45.
  26. Q26. Answer: (B) 1616
    Sum9=9×16=144; sum10=10×17=170; 10th obs=170-144=26.
  27. Q27. Answer: (D) 3030
    70b+75(50-b)=72*50 -> -5b=-150 -> b=30 boys.
  28. Q28. Answer: (A) 3535
    Total=60*65=3900. Half(30)@85=2550. Rest=3900-2550=1350/30=45.
  29. Q29. Answer: (B) 00
    Sum of deviations from mean always zero → 0.0.
  30. Q30. Answer: (C) 2020
    Let n numbers, sum=15n. New sum=15n+25, new avg=17.5: (15n+25)/n=17.5 -> 2.5n=25 -> n=10.
  31. Q31. Answer: (B) 11 m 21.121.1 cm
    Sum(cm)=6×15+815+8×10+610+6×12=242; avg=242/20=12.1cm → 11 m 12.112.1 cm.
  32. Q32. Answer: (A) 11281128
    Each ×88 scales avg same way: new avg=27×8=216.
  33. Q33. Answer: (A) Rs 250250
    Total=7800, tables=6×750=4500; chair avg=(7800-4500)/12=275.
  34. Q34. Answer: (C) 176176
    Sum104=104×50=5200; sum100=4400; 4-new sum=800; avg=800/4=200.
  35. Q35. Answer: (D) 22 : 55
    Alligation: (120008000)(12000-8000):(15000-12000)=4000:3000=4:3.3.
  36. Q36. Answer: (A) 54.6854.68
    Total=55*50+60*55+45*60=8750, students=160, avg=8750/160=54.69.
  37. Q37. Answer: (D) 8080
    Ratio a:b:c=3:44:55 (from 83a+76b=79(a+b), 76b+85c=81(b+c)). Sum=249+304+425=978, /12=81.5.
  38. Q38. Answer: (B) 3232 kg.
    Same setup as Q35Q35: A+B+C=135, A+B=80, B+C=86. B=31 kg.
  39. Q39. Answer: (D) 51.251.2 kg
    Total=6*50+2*51+2*55=512, n=10, avg=51.2 kg.
  40. Q40. Answer: (B) 2xy/(x + y)
    Sum=xy+yx=2xy, n=x+y, avg=2xy/(x+y).
  41. Q41. Answer: (A) 2424
    Total=30*20+20*30=1200, n=50, avg=1200/50=24.
  42. Q42. Answer: (C) 131131 kg
    Sum11=11×95=1045; 1045+(x+33)=12x → x=98; 12th person=98+33=131 kg.
  43. Q43. Answer: (A) 5656
    Sum30=450; first18=180; next11=220; last=450-400=50.
  44. Q44. Answer: (A) 3030
    70a+87.5(100-a)=8400 → -17.5a=-350 → a=20.
  45. Q45. Answer: (A) 6060
    35p+10(100-p)=3000 -> 25p=2000 -> p=80 passed.
  46. Q46. Answer: (C) Rs. 41064106 23\frac{2}{3}
    Total=40*4200+35*4000=308000, n=75, avg=308000/75=4106 23.\frac{2}{3.}
  47. Q47. Answer: (D) Rs 100100
    Total=7×120=840, boys=4×150=600; girls avg=(840-600)/3=80.
  48. Q48. Answer: (C) 625625
    Sum of 2525 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.
Pro Tip from Shortcut Maths Faculty: When a question says "average of n numbers is A, one number is x", immediately write the total as nA and isolate x. Confirm the group sizes before applying the weighted formula.

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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