Average

1. Find the average of the following set of numbers: 354, 281, 623, 518, 447, 702, 876.

  • 543
  • 518
  • 447
  • 502
Show Explanation
Correct Answer: 543
Average = (354 + 281 + 623 + 518 + 447 + 702 + 876) / 7 = 3801 / 7 = 543

2. The body weight of six boys is 54 kg, 64 kg, 75 kg, 67 kg, 45 kg and 91 kg. What is the average body weight?

  • 65 kg
  • 69 kg
  • 66 kg
  • 68 kg
Show Explanation
Correct Answer: 66 kg
Average = (54 + 64 + 75 + 67 + 45 + 91) / 6 = 396 / 6 = 66 kg

3. There are six numbers 30, 72, 53, 68, x and 87. The average is 60. Find x.

  • 58
  • 50
  • 60
  • 62
Show Explanation
Correct Answer: 50
(30 + 72 + 53 + 68 + x + 87)/6 = 60 (310 + x)/6 = 60 310 + x = 360 x = 50

4. Find the average of all prime numbers between 30 and 50.

  • 33
  • 37.5
  • 43.8
  • 39.8
Show Explanation
Correct Answer: 39.8
Prime numbers: 31, 37, 41, 43, 47 Average = (31 + 37 + 41 + 43 + 47)/5 = 199/5 = 39.8

5. Find the average of first 40 natural numbers.

  • 20
  • 21
  • 20.5
  • 21.5
Show Explanation
Correct Answer: 20.5
Sum = n(n+1)/2 = 40×41/2 = 820 Average = 820/40 = 20.5

6. Find the average of first 20 multiples of 7.

  • 70
  • 73.5
  • 75
  • 72.5
Show Explanation
Correct Answer: 73.5
Average of first n multiples = 7 × (n+1)/2 = 7 × 21/2 = 73.5

7. A man bought 5 shirts at ₹450 each, 4 trousers at ₹750 each and 12 pairs of shoes at ₹750 each. What is the average expenditure per article?

  • 678.57
  • 728.52
  • 688.92
  • 750
Show Explanation
Correct Answer: 678.57
Total = 2250 + 3000 + 9000 = 14250 Articles = 21 Average = 14250/21 = 678.57

8. 13 chairs and 5 tables were bought for ₹8280. If the average cost of a table is ₹1227, find the average cost of a chair.

  • ₹172
  • ₹165
  • ₹185
  • ₹150
Show Explanation
Correct Answer: ₹165
Cost of tables = 1227 × 5 = 6135 Cost of chairs = 8280 − 6135 = 2145 Average = 2145/13 = ₹165

9. The average of five consecutive numbers is 48. What is the product of the first and last number?

  • 2435
  • 2345
  • 2356
  • 2300
Show Explanation
Correct Answer: 2300
Let numbers be x, x+1, x+2, x+3, x+4 5x+10 = 240 x = 46 Product = 46 × 50 = 2300

10. The average monthly expenditure was ₹2200 (3 months), ₹2250 (4 months) and ₹3120 (5 months). If yearly savings were ₹1260, find the average monthly income.

  • ₹2750
  • ₹2705
  • ₹2650
  • ₹2550
Show Explanation
Correct Answer: ₹2705
Total expenditure = 31200 Total income = 31200 + 1260 = 32460 Average monthly income = 32460/12 = ₹2705