Average

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7/21/2019 Average http://slidepdf.com/reader/full/average-56d9c2c524613 1/7 QuotePad 2.0.2; 10/15/2015 6:17:40 PM ******************************************************************* =================================================================== List 1 (8 notes) =================================================================== [10/15/2015 6:10:42 PM] 1. The average of all odd numbers upto 100 is: 51 48.5 50 49.2 Answer & Explanation Answer: 50 Explanation: Sum of odd numbers upto 100 =1+3+5+7+...+95+97+99 =(1+99)+(3+97)+(5+95)+ . ..upto 25 pairs. =100+100+100+ .. .(25times)=2500. Average = 2500 / 50 = 50. View Answer Report Error Let us discuss 2. The average of 50 numbers is 38. If two numbers, namely 45 and 55 are discard ed, the average of the remaining numbers is :. [C.B.I. 1990] 36.5 37.5 37 37.52 Answer & Explanation Answer: 37.5 Explanation: Totalsumof48 numbers =[50*38 - (45+55)] = 1800. Required average = 1800 / 48 = 37.5. View Answer Report Error Let us discuss 3. The mean of 100 observations was calculated as 40. It was found later on that  one of the observations was misread as 83 instead of 53. The correct mean is :.  [C.B.I. 1993] 39 40.3 39.7 42.7 Answer & Explanation Answer: 39.7 Explanation: Correct sum = (40*100 + 53 - 83) = 3970. Correct mean = 3970/100 = 39.7 View Answer Report Error Let us discuss 4. In a cricket eleven, the average of eleven players is 28 years. Out of these,  the average ages of three groups of three players each are 25 years, 28 years a nd 30 years respectively. If in these groups, the captain and the youngest playe r are not included, and the captain is eleven years older than the youngest play er, what is the age of the captain ?. [Hotel Managemen] 33 years 35 years 34 years 36 years Answer & Explanation Answer: 35 years Explanation: Let the age of youngest player be x. Then, age of the captain = (x + 11). 3*25 + 3*28 + 3*30 + x + x + 11 = 11*28. ⇒ 75+84+90+2x+11=308 so 2x=48 so x=24. Age of the captain=(x+11) = 35 years. View Answer Report Error Let us discuss 5. The average weight of 6 men decreases by 3 kg when one of them weighing 80 kg  is replaced by a new man. The weight of the new man . [LJ.D.C. Exam 19] 56 kg 62 kg 58 kg 76 kg

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QuotePad 2.0.2; 10/15/2015 6:17:40 PM*******************************************************************

===================================================================List 1 (8 notes)===================================================================[10/15/2015 6:10:42 PM]1. The average of all odd numbers upto 100 is:51 48.550 49.2

Answer & ExplanationAnswer: 50Explanation: Sum of odd numbers upto 100=1+3+5+7+...+95+97+99 =(1+99)+(3+97)+(5+95)+ . ..upto 25 pairs. =100+100+100+ ...(25times)=2500.Average = 2500 / 50 = 50.View Answer Report Error Let us discuss2. The average of 50 numbers is 38. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :. [C.B.I. 1990]36.5 37.537 37.52

Answer & Explanation

Answer: 37.5Explanation: Totalsumof48 numbers =[50*38 - (45+55)] = 1800.Required average = 1800 / 48 = 37.5.View Answer Report Error Let us discuss3. The mean of 100 observations was calculated as 40. It was found later on that one of the observations was misread as 83 instead of 53. The correct mean is :. [C.B.I. 1993]39 40.339.7 42.7

Answer & ExplanationAnswer: 39.7Explanation: Correct sum = (40*100 + 53 - 83) = 3970.

Correct mean = 3970/100 = 39.7View Answer Report Error Let us discuss4. In a cricket eleven, the average of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, what is the age of the captain ?. [Hotel Managemen]33 years 35 years34 years 36 years

Answer & ExplanationAnswer: 35 yearsExplanation: Let the age of youngest player be x.

Then, age of the captain = (x + 11).3*25 + 3*28 + 3*30 + x + x + 11 = 11*28.⇒ 75+84+90+2x+11=308 so 2x=48 so x=24.Age of the captain=(x+11) = 35 years.View Answer Report Error Let us discuss5. The average weight of 6 men decreases by 3 kg when one of them weighing 80 kg is replaced by a new man. The weight of the new man . [LJ.D.C. Exam 19]56 kg 62 kg58 kg 76 kg

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Answer & ExplanationAnswer: 62 kgExplanation: Total weight decreased = (6*3) kg = 18 kg. Weight of new man = (80 - 18) kg = 62 kg.View Answer Report Error Let us discuss

[10/15/2015 6:11:54 PM]6. The average age of 40 student of a class is 15 year. When 10 new students are admitted, the average is increased by 0.2 years. The average age of new students is :. [AssistaDt Grade]15.2 yrs 16.2 yrs16 yrs 16.4 yrs

Answer & ExplanationAnswer: 16 yrsExplanation: Sum of ages of 10 new students = (50*15.2 - 40*15) = 160 years. Average age of new students = 160/10 = 16 years.View Answer Report Error Let us discuss7. The average of Kanchans marks in 7 subjects is 75. His average in six subjects excluding Science is 72. How many marks did he get in Science? . [Bank P.O., 1993]72 9390 100

Answer & ExplanationAnswer: 93Explanation: Marks in Science (7*75 - 6-72) = 93.View Answer Report Error Let us discuss8. The average age of 30 students of a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another gfoup of 5 of them is14 years. What is the average age oi the remaining students?. [Bank P.O. 1990]8 years 12 years10 years 14 years

Answer & ExplanationAnswer: 12 yearsExplanation: Total age of 20 students = (30 * 12) - (5*10 + 5*14)= 240 years.

 Required average = (240/20) = 12 years.View Answer Report Error Let us discuss9. Mukesh has twice as much money as Sohan and Sohan has 50% more money than what Pankaj has. If the average money with them is Rs 110, then Mukesh has :. [Assistant Grade]Rs 55 Rs 90Rs 60 Rs 180

Answer & ExplanationAnswer: Rs 180Explanation: Let pankaj has Rs xthen sohan has 150% of Rs x = 150x/100 = Rs 3x/2

mukesh has 3x ⇒ x + (3x/2) + 3x = 110*3 ⇒ 11x/2 =110*3 ⇒ x= 60mukesh has Rs 180View Answer Report Error Let us discuss10. The average of first five prime numbers is:. [Assistant Grade]5.4 5.75.6 7.5

Answer & ExplanationAnswer: 5.6Explanation: aveage = (2 + 3 +5 + 7 + 11)/5 = 5.6

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View Answer Report Error Let us discuss

[10/15/2015 6:12:28 PM]11. Out of four numbers, the average of first three is 16 and that of the last three is 15. If the last number is 18, the first number is20 2321 25

Answer & ExplanationAnswer: 21Explanation: Sum of 2nd and 3rd number = (3*15 - 18) = 27.First number = (3*16 - 27) = 21.View Answer Report Error Let us discuss12. The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man F, whose weight is 3 kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 kg. The weight of A is:. [Bank P.O. 1989]70 kg 75 kg72 kg 80 kg

Answer & ExplanationAnswer: 75 kgExplanation: A+B+C = (84x3) = 252kg, A+B+C+D=(80x4) = 320kg.D = (320 - 252) = 68 , E = (68+3) =7l.

B+C+D+E = (79x4)=316.(A+B+C+D) -(B+C+D+E)=(320 - 316)kg = 4kg.A - E = 4 = A = (4+E)=75kg.View Answer Report Error Let us discuss13. The average age of 30 students is 9 years. If the age of their teacher is included, it becomeS 10 years. The age of the teacher (in years)is :. [Assistant Grade]27 3531 40

Answer & ExplanationAnswer: 40Explanation: Age of the teacher = (31*10 + 30*9) = 40 years.

View Answer Report Error Let us discuss14. The average of two numbers is M. If one number is N, then the other number is. [Assistant Grade]2N MÐN2M 2MÐN

Answer & ExplanationAnswer: 2MÐNExplanation: Sum of two numbers = 2M.other number = (2MÐN)View Answer Report Error Let us discuss15. The average salary per month of 30 employees in a compnaY is Rs 4000. If the manager's salary is added, the average salary iicreaSeS to Rs 4300, what is the s

alary of the manager. [Bank P.O. 1993]Rs 10000 Rs 12000Rs 13000 Rs 13300

Answer & ExplanationAnswer: Rs 13300Explanation: Salary of the manager = (31*4300 - 30*4000) = 13300.View Answer Report Error Let us discuss

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16. Five years ago, the average age of P and Q was 15 years. Average age of F, Q andR today is 20 years. How old will R be after 10 years?. [Bank P.O. 1989]35 yrs 30 yrs40 yrs 50 yrs

Answer & ExplanationAnswer: 30 yrsExplanation: (P + Q), five years ago = (15 * 2) = 30 years.(P+Q), now = (30+5*2)years=40years.(P + Q + R), now = (20 x 3) years =60 years.R, now = (60 - 40) years = 20 years.R, after 10 years = (20 + 10) years =30 years.View Answer Report Error Let us discuss17. The average age of a committee of eight members is 40 years. A member aged 55 years retired and his place was taken by another member aged 39 years. The average age of the present committee is:. [Teacher's Exam ]39 years 36 years38 years 35 years

Answer & ExplanationAnswer: 38 yearsExplanation: Required average = (8*40 - 55*39)/8 = 38 years.View Answer Report Error Let us discuss18. There are three sections of a class in a school. The number of students in t

he three sections is 38, 32 and 40 and the average age of the students in thesesections separately is 15.3 years, 16.5 years and 15.9 years respectively. Whatis the average age of the class?. [Hotel Managemen]15.9 yrs 15.96 yrs15.92 yrs 15.86 yrs

Answer & ExplanationAnswer: 15.86 yrsExplanation: average = (38*15.3 + 32*16.5 + 40*15.9)/(38+32+40) = 1745.4/110= 15.867View Answer Report Error Let us discuss19. A man whose bowling average is 12.4, takes 5 wickets for 26 runs and ther eby decreases his average by 0.4. The number of wickets, taken by him before his l

ast match is :. [C.B.I. 1991]85 7278 64

Answer & ExplanationAnswer: 85Explanation: Let the number of wickets taken before the last match is x.Then, (l2.4x + 26)/(x + 5) = 12 ⇒ l2.4x+26=12x+60⇒ 0.4x=34 ⇒ x = 34/0.4 = 85View Answer Report Error Let us discuss20. A motorist travels to a place 150 km away at an average speed of 50 km per hour and returns at 30 km per hour. His average speed for the whole journey in km per hour is :. [Bank P.O. 1991]

35 37.537 40

Answer & ExplanationAnswer: 37.5Explanation: Average speed = 2xy/(x + y) km/hr = 2*50*30/(50 + 30) = 37.5 km/hrView Answer Report Error Let us discuss

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21. The average age of boys in the class is twice the number of girls in the class. If the ratio of boys and girls in the class of 36 be 5 : 1, what is the total of the ages (in years) of the boys in the class. [Bank P.O. 1989]490 420196 360

Answer & ExplanationAnswer: 360Explanation: Number of boys = 136 *(5/2) = 30,Number of girls 6.Average age of boys = (2 * 6) = 12 years.Total age of boys (30 * 12) years = 360 years.View Answer Report Error Let us discuss22. The average of four consecutive even numbers is 27. The largest of these numbers is :. [Assistant Grade]36 3032 28

Answer & ExplanationAnswer: 30Explanation: Let the numbers are x, x+2, x+4 and x+6. Then,(x+x+2+x+4+x+6)/4 = 27 ⇒ 4x+ 12/4 = 27 ⇒ x + 3 = 27 ⇒ x = 24Largest number = (x + 6) = 24 + 6 = 30.View Answer Report Error Let us discuss

23. The average of ten numbers is 7. If each nuniber is multiplied by 12, then the average of new set of numbers is :. [Assistant Grade]7 8219 84

Answer & ExplanationAnswer: 84Explanation: Average of new set = (12 x 7) = 84.View Answer Report Error Let us discuss24. In seven given numbers, the average of first four numbers is 4 and that of the last four numbers is also 4. If the average of these seven numbers is 3, thefourth number is :. [I.Tax and Centr]3 7

4 11

Answer & ExplanationAnswer: 11Explanation: Fourth number=(4*4 + 4*4 - 7*3) = 11.View Answer Report Error Let us discuss25. The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 yrs while that of the girls is 15.4 years. What is the ratio of boys to girls in the class? . [Hotel Managemen]1:2 3:53:4 2 : 3

Answer & Explanation

Answer: 2 : 3Explanation: Let the ratio is k : 1 . Then, k*16.4 + 1 * 15.4=(k+l)*15.8or(16.4 - 15.8)k=(15.8-15.4) or k=0.4/0.6= 2/3.Required ratio = 2/3 : 1 = 2 : 3View Answer Report Error Let us discuss

[10/15/2015 6:16:12 PM]26. The average of first five multiples of 3 is:. [I.Tax and Cent]3 86 9

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Answer & ExplanationAnswer: 9Explanation: average = (1 + 2 + 3 + 4 + 5) * 3/5 = 15 * 3 / 5 = 9View Answer Report Error Let us discuss27. Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today . The present age of the baby is: . [Assistant Grade]2 yrs 3 yrs2.4 yrs 1.5 yrs

Answer & ExplanationAnswer: 2 yrsExplanation: Total age of 5 members, 3 years ago = (17 x 5) = 85 years.Total age of 5 members now = (85 + 3 x 5) = 100 years.Total age of 6 members now = (17 x 6) = 102 years.Age of the baby =2 years.View Answer Report Error Let us discuss28. The average of first 50 natural numbers is11.5 25.522.5 25

Answer & ExplanationAnswer: 25.5

Explanation: Sum of first n natural numbers n(n + 1)/2So, average of first n natural numbers n(n + 1)/2n = (n + 1)/2⇒ (50 + 1)/2 = 25.5View Answer Report Error Let us discuss29. Five years ago, the average age of A, B, C and D was 45 years. With E joining them now, the average of all the five is 49 years. How old is E? . [Bank P.O.1988]25 years 45 years40 years 64 years

Answer & ExplanationAnswer: 45 yearsExplanation: (A+B+C+D), five years ago =(45*4)= l80years.

(A+B+C+D), now = (180 + 5*4) years = 200 years.A+B+C+D+E, now = (49x5)years=245years.E, now = (245Ð200)=45years.View Answer Report Error Let us discuss30. If a, b, c, d, e are five consecutive odd numbers, their average Is: . [Bank P.O. 1989]5(a + 4) 5(a+b+c+d+e)abcde (a + 4)

Answer & ExplanationAnswer: (a + 4)Explanation: Clearly,b=a+2,c=a+4,d=a+6 and e=a+8.Average (a + (a + 2) + (a + 4) + (a + 6) + (a + 8)) / 5 = (5a + 20) / 5 = (a + 4

)View Answer Report Error Let us discuss

[10/15/2015 6:16:59 PM]31. The average of 11 observations is 60. If the average of first five observations is 58 and that of the last five is 56, then the sixth observation is. [Assistant Grade]90 85110 100

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Answer & ExplanationAnswer: 90Explanation: Sixth observation=[60*11 - (58*5 + 56*5)] = 90.View Answer Report Error Let us discuss32. A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points; the average score for the team would have been 84. The number of points, the team scored, was :. [C.B.I. 1993]672 645665 588

Answer & ExplanationAnswer: 665Explanation: Let the total score be x.(x +92 - 85)/8 = 84 so x+7 = 672 so x=665View Answer Report Error Let us discuss33. The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is: . [Bank P.O. 1994]4 168 Data inadequate

Answer & ExplanationAnswer: 8Explanation: Total sum of remaining two (8*14 - 6*16) = 16.Average oLthese two numbers = 16/2 = 8

View Answer Report Error Let us discuss34. Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is:. [I Tax andCentr]24 7236 108

Answer & ExplanationAnswer: 24Explanation: Let 3rd number is x. Then, second number = 3x.First number = 3x / 2(x + 3x + 3x)/2 = (44*3) or 11x/2 = 44*3 or x=24.View Answer Report Error Let us discuss

35. The mean of 1², 2², 3², 4², 5², 6², 7² is:. [U.D.C. Exam 199]40 3020 10

Answer & ExplanationAnswer: 20Explanation: sum of square of first n numbers n(n + 1)(2n + 1)/6⇒ 7(7 + 1)(7*2 + 1)/6 = 140average = 140/7 = 20View Answer Report Error Let us discuss

[10/15/2015 6:17:24 PM]36. The average weight of 9 mangoes increases by 20 g if one of them weighing 12

0 g is replaced by another. The weight of the new mango is :. [AssistaDt Grade]180 g 260 g200 g 300 g

Answer & ExplanationAnswer: 300 gExplanation: Total weight increased (9*20) gm = 180 gm.Weight of new mango = (120 + 180) gm = 300gm.