30 Powerful SSC CGL Averages MCQs with Detailed Solutions
Practice SSC CGL Averages MCQs with detailed explanations, SSC shortcut tricks, and Tier-II level questions. Improve your speed and accuracy for SSC CGL, CHSL, CPO, MTS, and Railway exams.
1. The average of 8 numbers is 24. If one number is removed, the average of the remaining numbers becomes 22. The removed number is
A. 34 B. 36
C. 38 D. 40
Correct Answer: C. 38
Explanation:
Total of 8 numbers = 8 × 24
= 192
Total of remaining 7 numbers = 7 × 22
= 154
Removed number = 192 − 154
= 38
2. The average age of 15 students is 18 years. If the teacher aged 42 years joins them, then the new average age becomes
A. 19.0 B. 19.5
C. 19.8 D. 20
Correct Answer: B. 19.5
Explanation:
Total age of students = 15 × 18
= 270
Including teacher = 270 + 42
= 312
New average = 312 ÷ 16
= 19.5
SSC CGL Averages MCQs
3. The average of five consecutive even numbers is 34. The largest number is
A. 36 B. 38
C. 40 D. 42
Correct Answer: B. 38
Explanation:
Five consecutive even numbers are
30, 32, 34, 36, 38
Average is always the middle number.
Largest = 38
4. The average marks of 12 students is 68. If one student scored 92 marks, the average of the remaining students is
A. 64 B. 65.82
C. 66 D. 67
Correct Answer: B. 65.82
Explanation:
Total marks = 12 × 68
= 816
Remaining marks = 816 − 92
= 724
Average = 724 ÷ 11
= 65.82
5. The average of the first 20 natural numbers is
A. 10 B. 10.5
C. 11 D. 12
Correct Answer: B. 10.5
Explanation:
Average of first n natural numbers
= (n + 1)/2
= (20 + 1)/2
= 10.5
6. The average of 9 observations is 48. If one observation was wrongly taken as 64 instead of 46, then the correct average is
A. 46 B. 47
C. 48 D. 49
Correct Answer: A. 46
Explanation:
Wrong total = 9 × 48
= 432
Correct total = 432 − 64 + 46
= 414
Correct average = 414 ÷ 9
= 46
7. The average of 6 numbers is 25. Another number is added, and the average becomes 27. The added number is
A. 37 B. 39
C. 41 D. 45
Correct Answer: B. 39
Explanation:
Initial total = 6 × 25
= 150
New total = 7 × 27
= 189
Added number = 189 − 150
= 39
8. The average weight of 10 boys is 52 kg. One boy weighing 60 kg leaves the group. The new average weight is
A. 50 B. 51.11
C. 52 D. 53
Correct Answer: B. 51.11
Explanation:
Total weight = 10 × 52
= 520
Remaining weight = 520 − 60
= 460
Average = 460 ÷ 9
= 51.11 kg
9. The average of four consecutive odd numbers is 28. What is the smallest number?
A. 23 B. 25
C. 27 D. 29
Correct Answer: B. 25
Explanation:
Four consecutive odd numbers are a, a + 2, a + 4, a + 6
23, 25, 27, 29
Average = (a + a + 2 + a + 4 + a + 6)/4
28 = (4a + 12)/4
4a + 12= 28 × 4
4a + 12= 112
4a = 112 – 12
4a = 100
a = 25
SSC CGL Averages MCQs
10. The average salary of 25 employees is ₹32,000. If the manager’s salary is included, the average becomes ₹34,000. The manager’s salary is
A. ₹82,000 B. ₹84,000
C. ₹86,000 D. ₹88,000
Correct Answer: B. ₹84,000
Explanation:
Total salary of employees = 25 × 32,000
= ₹8,00,000
Total salary including manager = 26 × 34,000
= ₹8,84,000
Manager’s salary = ₹8,84,000 − ₹8,00,000
= ₹84,000
11. The average of 12 numbers is 48. If the average of the first 7 numbers is 45, then the average of the remaining 5 numbers is:
A. 50.2 B. 51.8
C. 52.2 D. 53.4
Correct Answer: C. 52.2
Explanation:
Total of 12 numbers = 12 × 48
= 576
Total of first 7 numbers = 7 × 45
= 315
Total of remaining 5 numbers = 576 − 315
= 261
Average = 261 ÷ 5
= 52.2
12. The average of 30 observations is 62. If one observation is wrongly recorded as 48 instead of 84, then the correct average is
A. 62.8 B. 63.0
C. 63.2 D. 64
Correct Answer: C. 63.2
Explanation:
Wrong total = 30 × 62 = 1860
Correct total = 1860 − 48 + 84
= 1896
Correct average = 1896 ÷ 30
= 63.2
13. The average of five consecutive natural numbers is 36. What is the sum of these numbers?
A. 170 B. 175
C. 180 D. 185
Correct Answer: C. 180
Explanation:
Sum = Average × Number of Terms
= 36 × 5
= 180
SSC CGL Averages MCQs
14. The average marks of a class of 40 students is 58. If the marks of one student were wrongly entered as 72 instead of 42, what is the correct average?
A. 57.25 B. 57.5
C. 58 D. 56.75
Correct Answer: A. 57.25
Explanation:
Wrong total = 40 × 58
= 2320
Correct total = 2320 − 72 + 42
= 2290
Correct average = 2290 ÷ 40
= 57.25
15. The average of 18 numbers is 75. If two numbers 84 and 96 are removed, what is the average of the remaining numbers?
A. 72.125 B. 73.125
C. 73.525 D. 75.135
Correct Answer: B. 73.125
Explanation:
Total = 18 × 75
= 1350
Remaining total = 1350 − 84 − 96
= 1170
Remaining numbers = 16
Average = 1170 ÷ 16
= 73.125
16. The average income of A, B and C is ₹24,000. The average income of B, C and D is ₹28,000. If D earns ₹35,000, then A earns
A. ₹20,000 B. ₹21,000
C. ₹22,000 D. ₹23,000
Correct Answer: D. ₹23,000
Explanation:
A + B + C = 24,000 × 3
= 72,000
B + C + D = 28,000 × 3
= 84,000
Difference = D − A
84,000 − 72,000 = 12,000
A = 35,000 − 12,000
= ₹23,000
17. The average of the first 15 multiples of 6 is
A. 42 B. 45
C. 48 D. 50
Correct Answer: C. 48
Explanation:
Multiples 6,12,18,…90
Average = (First + Last)/2
= (6+90)/2
= 48
18. The average age of 24 students is 15 years. If the teacher joins the class, the average increases by 1 year. The teacher’s age is
A. 38 years B. 39 years
C. 40 years D. 41 years
Correct Answer: C. 40 years
Explanation:
Students’ total age = 24 × 15
=360
New total = 25 × 16
= 400
Teacher’s age = 400−360
= 40 years
19. The average of 10 numbers is 35. After replacing one number 28 by another number, the average becomes 37. The new number is
A. 45 B. 46
C. 47 D. 48
Correct Answer: D. 48
Explanation:
Original total =10 × 35 = 350
New total =10 × 37 = 370
Increase =20
New number = 28 + 20
= 48
20. The average of 25 numbers is 48. The average of the first 10 numbers is 42 and the average of the last 10 numbers is 54. The average of the remaining 5 numbers is
A. 46 B. 48
C. 50 D. 52
Correct Answer: B. 48
Explanation:
Total of 25 numbers =25 × 48=1200
First 10 totals=10 × 42 = 420
Last 10 total =10 × 54 = 540
Middle 5 total =1200 – 420 − 540
= 240
Average = 240 ÷ 5
= 48
21. The average of 16 numbers is 42. If four of the numbers have an average of 36, then the average of the remaining numbers is
A. 42 B. 43
C. 44 D. 45
Correct Answer: C. 44
Explanation:
Total of 16 numbers = 16 × 42 = 672
Total of 4 numbers = 4 × 36 = 144
Total of remaining 12 numbers = 672 − 144 = 528
Average = 528 ÷ 12 = 44
22. The average of 9 consecutive odd numbers is 45. What is the smallest number?
A. 35 B. 37
C. 39 D. 41
Correct Answer: B. 37
Explanation:
For 9 consecutive odd numbers, the average is the middle number.
Middle number = 45
Sequence:
37, 39, 41, 43, 45, 47, 49, 51, 53
Smallest = 37
23. The average of 25 numbers is 64. If each number is increased by 6, the new average becomes
A. 66 B. 68
C. 70 D. 72
Correct Answer: C. 70
Explanation:
When every observation increases by the same number, the average also increases by that number.
New average = 64 + 6 = 70
24. The average of five numbers is 52. If one number is excluded, the average of the remaining four numbers becomes 50. Find the excluded number.
A. 58 B. 60
C. 62 D. 64
Correct Answer: B. 60
Explanation:
Total of five numbers = 5 × 52 = 260
Total of four numbers = 4 × 50 = 200
Excluded number = 260 − 200
= 60
25. The average of 14 numbers is 28. If each number is multiplied by 5, what will be the new average?
A. 120 B. 130
C. 140 D. 150
Correct Answer: C. 140
Explanation:
New Average = 28 × 5
= 140
26. The average score of Team A (11 players) is 42, while the average score of Team B (11 players) is 46. What is the average score of all 22 players?
A. 43 B. 44
C. 45 D. 46
Correct Answer: B. 44
Explanation:
Total score = (11 × 42) + (11 × 46)
= 462 + 506
= 968
Average = 968 ÷ 22
= 44
SSC CGL Averages MCQs
28. The average of 40 observations is 75. Later, it was found that one observation was omitted. If the omitted observation is 95, what is the correct average?
A. 75.49 B. 75.25
C. 75.75 D. 76
Correct Answer: A. 75.49
Explanation
Recorded total= 40 × 75
= 3000
Correct total = 3000 + 95
= 3095
Correct observations = 41
Correct average = 3095 ÷ 41
≈ 75.49
28. The average age of 18 boys is 16 years. If two boys aged 18 and 20 leave the group, the average age of the remaining boys is
A. 15.175 B. 15.625
C. 16.135 D. 16.256
Correct Answer: B. 15.625
Explanation:
Original total = 18 × 16
= 288
Remaining total = 288 − 18 − 20
= 250
Remaining boys = 16
Average = 250 ÷ 16
= 15.625
29. The average of the first 20 even natural numbers is
A. 20 B. 21
C. 22 D. 23
Correct Answer: B. 21
Explanation:
First even number = 2
20th even number = 40
Average = (2 + 40) ÷ 2
= 21
30. A batsman has an average score of 48 runs after playing 24 innings. In the next innings, he scores 72 runs. What is his new average?
A. 48.48 B. 48.96
C. 49.20 D. 50
Correct Answer: B. 48.96
Explanation:
Total runs after 24 innings = 24 × 48
= 1152
After scoring 72
Total runs = 1152 + 72
= 1224
New average = 1224 ÷ 25
= 48.96
SSC CGL Quantitative Aptitude Topics
- Number System
- Decimals
- Fractions
- Percentages
- Ratio & proportion
- Square roots
- Averages
- Interest (simple & compound)
- Profit & loss
- Discount
- Partnerships
- Mixture & alligation
- Time & speed & distance
- Time & work.
- Advanced math includes basic algebraic identities
- Elementary surds
- Graphs of linear equations
- Triangles
- Circles
- Regular polygons, right prisms, cones, cylinders, spheres
- Trigonometry.
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