Average- Mean, Median & Mode (Chapter-1): 110 Important MCQs for Indian Competitive Exam Prep August 25, 2023 Quantitative AptitudeTest 1Test 2Test 3Test 4Test 5 Report a question What's wrong with this question?You cannot submit an empty report. Please add some details. 0% Average-Mean, Median & Mode Mock Test-220 MCQs20 Marks30 Minutes 1 / 20The average of 8 consecutive integers is 23/2. What is the average of first three integers? 10 8 9 7 Solution:Let the consecutive integers be x ,(x + 1) ,(x + 2) ,(x + 3) ,(x + 4), (x + 5) ,(x + 6) ,(x + 7) . The sum of integers =x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) + (x + 7) 8x + 28 Sum of integers = 8 - (23/2)= 92 So, 8x + 28 = 92 8x = 64 x = 8 Now, Sum of first three integers = x + (x + 1) + (x + 2) = 27 Average = 27/3 = 9 Therefore, answer is 9. 2 / 20A group of 8 students took a test, and their scores were 90, 95, 100, 105, 110, 115, 120, and x. If the median score is 107, what is the value of x? 104 102 Can not be determined 100 3 / 20A cricketer average 28 runs per inning for 26 innings. If he makes a total 272 runs in his next five innings, by how much will his average increase? 4.8 5 4.6 4.2 Solution:Cricketer makes total runs in 26 innings = 28 - 26 = 728 Average after he makes a total 272 runs in his next five innings = (728 + 272)/31 = 1000/31 = 32.258 Increase in his average = 32.258-28 = 4.258 4 / 20The average of 15 numbers is 40. In these average of first 8 numbers is 30 and the average of last 8 numbers is 50. The value of eighth number is 30 40 10 20 The average of 15 numbers is 40. Sum of the 15 numbers = 15 - 40 = 600 Now, Sum of first 8 numbers = 8 - 30 = 240 Sum of last 8 numbers = 8 - 50 = 400 The value of eight number = (240 + 400) - 600 640 - 600 = 40 Therefore, the value of the eighth number is 40. 5 / 20The average age of a group of friends is 25 years. If the average age of the first 5 friends is 20 years and that of the next 7 friends is 30 years, what is the age of the 13th friend? 15 years 30 years 28 years 27 years 6 / 20A shopkeeper calculated the average price of 10 items to be Rupees 25 each. However, later he realized that he mistakenly swapped the prices of two items, reducing the average by Rupees 2. What is the difference between the swapped prices? Rupees 40 Rupees 30 Rupees 10 Rupees 20 7 / 20A car traveled at an average speed of 60 km/h for the first 3 hours and then at an average speed of 80 km/h for the next 2 hours. What was the total distance traveled by the car? 260 km 340 km 220 km 280 km 8 / 20A dataset has the values: 10, 15, x, 25, 30. The mean of the dataset is 20. If the value of x is doubled, what will be the new mean? 20 26 22 24 Solution:Mean = Total Sum of Values / Total Number of Values 20 = (10 + 15 + x + 25 + 30) / 5 Simplify the equation: 100 = 80 + x x = 100 - 80 x = 20 Now, if we double the value of x, it becomes 2 * 20 = 40. The updated dataset becomes: 10, 15, 40, 25, 30. The new mean is calculated as follows: New Mean = (10 + 15 + 40 + 25 + 30) / 5 = 120 / 5 = 24 9 / 20If the Mean and Mode are 25, then find the Median 24 22 25 19 Solution:Mean - Mode = 3(Mean - Median) 25 - 25 = 3(25 - Median ) Median = 25 10 / 20A group of friends recorded their ages: 22, 25, 28, z, 32. If the median age is 28, what is the value of z? 28 25 32 22 11 / 20A dataset has the values: 5, 10, 12, y, 20. If the mean of the dataset is 14, what is the value of y? 12 10 15 23 12 / 20The average of 5, 7, 9, x, 15 is 10 and the average of 17, 8, 19, 16, x, y, 4 is 12. What is the value of y ? 6 9 8 7 13 / 20The mean of 100 observations is 40. It is found that an observation 53 was misread as 83 then the correct mean is 40.1 40 48 39.7 14 / 20In a dataset, the mode is 30 and the mean is 28. If the largest value is 40, what is the smallest possible value? 16 20 22 18 15 / 20The runs scored by a batsman in 5 ODIs are 31,97,112, 63, and 12. The standard deviation is 35.9 30.1 25.7 20.5 16 / 20The monthly salaries (in dollars) of a group of employees are: 2000, x, 2500, 2600, 3000. If the mean salary is 2500, what is the value of x? 2600 2400 2200 2300 17 / 20The scores of a basketball team in a series are as follows: 85, 90, 95, 100, 105. What is the median score if each score is doubled before calculating the median? 190 180 195 170 18 / 20The following data represents the heights (in inches) of a group of individuals: 64, 68, y, 72, 76. If the median height is 70, what is the value of y? 76 68 70 64 19 / 20The average age of four members of a family is 32 years. If the age of a guest is included, then the average age has increased by 12.5%. What is the age of the guest? 54 years 50 years 48 years 52 years Solution:The average age of four members of a family is 32 years, Sum of the age of 4 members of a family = 32 - 4 128 years If the age of a guest is included, then the average age has increased by 12.5%, The average age of 5 persons = 32 - 112.5/100 36 years Sum of the age of 5 persons = 36 - 5 180 years Age of guest = 180 - 128 52 years ∴ The age of the guest is 52. 20 / 20The following data represents the scores of a basketball player in different games: 18, 20, 22, x, 18. If the mode of these scores is 18, what is the value of x? Cannot be determined Can be any value other than 18 Always less than 18 18 Previous 1 2 3 4 5 6NextRelated Posts Mastering Clocks & Calendars (Chapter-11): Important 100 Competitive Exam Aptitude Questions Permutations & Combinations Practice Test (Chapter-8): 100 MCQs for Competitive Exams in India Mastering Trigonometry for Quantitative Aptitude (Chapter-12): 100 MCQS to Ace Competitive Exams in IndiaLeave a Reply Cancel Reply Save my name, email, and website in this browser for the next time I comment. I have read and accepted the Privacy Policy * Δ
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