Free Averages MCQs with Answers
90 Averages MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.
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90 questions · page 3 of 5
- A. 40
- B. 30
- C. 25
- D. Data inadequate
Explanation: Let the Physics marks be P and the Chemistry marks be P + 20 marks. Since Mathematics marks plus Physics marks equal 60 marks, Mathematics…
Correct answer: 40- A. 55 years
- B. 56 years
- C. 58 years
- D. Data inadequate
Explanation: Five years ago, A and B together were 2 × 40 = 80 years old, so now their combined age is 90 years.
Correct answer: Data inadequate- A. Rs.20
- B. Rs.18
- C. Rs.22
- D. Rs.16
Explanation: The total cost is 1150 rupees + 920 rupees = 2070 rupees, and the total number of books is 65 books + 50 books = 115 books.
Correct answer: Rs.18- A. 149
- B. 151
- C. 152
- D. 153
Explanation: The original total height was 50 pupils × 150 centimetres = 7500 centimetres.
Correct answer: 151- A. 384
- B. 364
- C. 324
- D. 404
Explanation: The three scores are 64% of 800 marks = 512 marks, 36% of 800 marks = 288 marks, and 44% of 800 marks = 352 marks.
Correct answer: 384- A. 20
- B. 15
- C. 25
- D. 35
Explanation: Let n be the original number of students. The original total is 80n marks, while the five excluded students contributed 5 × 40 = 200…
Correct answer: 25- A. 60
- B. 64
- C. 72
- D. 80
Explanation: The three-subject total is 3 × 80 = 240 marks. Physics plus Mathematics is 2 × 90 = 180 marks, while Physics plus Chemistry is 2 × 70 =…
Correct answer: 80- A. 58
- B. 86
- C. 49
- D. None of these
Explanation: The total of the four integers is 4 × 69 = 276. After subtracting the highest and least integers, the remaining two have total 276 - 93 -…
Correct answer: 86- A. 75
- B. 150
- C. 50
- D. None of these
Explanation: Let the Physics marks be P, Chemistry marks be C and Mathematics marks be M.
Correct answer: 75- A. 179.29 cm
- B. 178.29 cm
- C. 179.38 cm
- D. 178.39 cm
Explanation: The recorded total was 35 boys × 180 centimetres = 6300 centimetres. The incorrect height of 166 centimetres must be replaced by 106…
Correct answer: 178.29 cm- A. 30 Years
- B. 31 years
- C. 26 years
- D. 33 years
Explanation: The total age of seven persons is 7 × 28 = 196 years. The first three contribute 3 × 21 = 63 years and the last three contribute 3 × 34 =…
Correct answer: 31 years- A. 31
- B. 29
- C. 28
- D. 30
Explanation: In the first 20 matches, the batsman scored 20 × 40 = 800 runs. In the next 10 matches, he scored 10 × 13 = 130 runs, making 930 runs in…
Correct answer: 31- A. 4
- B. 5
- C. 6
- D. 7
Explanation: If the original number of boys is n, their total weight is 30n kg. After the 35 kg boy joins, the total is 30n + 35 kg and the average is…
Correct answer: 4- A. 6060
- B. 7070
- C. 5550
- D. 4440
Explanation: The monthly production forms an arithmetic sequence: January is 5000 tonnes and December is 5000 + 11 x 100 = 6100 tonnes.
Correct answer: 5550- A. Rs. 25
- B. Rs. 18
- C. Rs. 15
- D. Rs. 22
Explanation: After the new member joins, seven members have an average of Rs. 20, so their total amount is 7 x Rs. 20 = Rs. 140.
Correct answer: Rs. 15- A. 180
- B. 170
- C. 190
- D. 175
Explanation: The first two numbers total 2 x 85 = 170, and adding the third number gives 170 + 125 = 295.
Correct answer: 180- A. 194
- B. 174
- C. 162
- D. 186Computer Online Quiz
Explanation: Add the five numbers: 312 + 162 + 132 + 142 + 122 = 870. Dividing by 5 gives an average of 870 / 5 = 174.
Correct answer: 174- A. 22
- B. 24
- C. 12
- D. 8
Explanation: For 10 persons, a decrease of 3 years in the average means the total age decreases by 10 x 3 = 30 years.
Correct answer: 12- A. 72
- B. 45
- C. 37
- D. 79
Explanation: Multiplying every student's marks by 2 multiplies the total marks, and therefore the average, by 2 as well.
Correct answer: 72- A. 22
- B. 27
- C. 25
- D. 29
Explanation: Adding the same value to every observation adds that value to the average. Thus the new average is 23 + 4 = 27.
Correct answer: 27