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Quantitative Aptitude

AVERAGES MCQs

Averages

Total Questions : 3752 | Page 372 of 376 pages
Question 3711. The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
  1.    31
  2.    29
  3.    28
  4.    30
 Discuss Question
Answer: Option A. -> 31
TOTAL SCORE OF THE BATSMAN IN 20 MATCHES = 800.
TOTAL SCORE OF THE BATSMAN IN THE NEXT 10 MATCHES = 130.
TOTAL SCORE OF THE BATSMAN IN THE 30 MATCHES = 930.
AVERAGE SCORE OF THE BATSMAN = 930/30 = 31
Question 3712. The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
  1.    Rs. 25
  2.    Rs. 18
  3.    Rs. 15
  4.    Rs. 22
 Discuss Question
Answer: Option C. -> Rs. 15
TOTAL MEMBERS IN THE GROUP = 7
AVERAGE AMOUNT = RS. 20
TOTAL AMOUNT WITH THEM = 7 * 20 = RS. 140
ONE NUMBER HAS RS. 50. SO, THE AMOUNT WITH REMAINING 6 PEOPLE = 140 – 50 = RS. 90
THE AVERAGE AMOUNT WITH THEM = 90/6 = RS. 15
Question 3713. A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
  1.    6060
  2.    7070
  3.    5550
  4.    4440
 Discuss Question
Answer: Option C. -> 5550
TOTAL PRODUCTION OF SALT BY THE COMPANY IN THAT YEAR = 5000 + 5100 + 5200 + …. + 6100 = 66600.
AVERAGE MONTHLY PRODUCTION OF SALT FOR THAT YEAR = 66600/12 = 5550
Question 3714. The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
  1.    22
  2.    24
  3.    12
  4.    8
 Discuss Question
Answer: Option C. -> 12
INITIAL AVERAGE AGE OF THE 10 PERSONS BE P.
AGE OF THE NEW PERSON Q.
SUM OF THE AGES OF THE INITIAL 10 PERSONS = 10P
NEW AVERAGE = (P-3) 10(P-3) = 10P – 42 + Q => Q = 12
Question 3715. The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
  1.    180
  2.    170
  3.    190
  4.    175
 Discuss Question
Answer: Option A. -> 180
LET THE FIVE NUMBERS BE P, Q, R, S AND T.
=> P + Q + R + S + T = 655.
(P + Q)/2 = 85 AND R = 125
P + Q = 170 AND R = 125
P + Q + R = 295
S + T = 655 – (P + Q + R) = 360
AVERAGE OF THE LAST TWO NUMBERS = (S + T)/2 = 180
Question 3716. The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
  1.    72
  2.    45
  3.    37
  4.    79
 Discuss Question
Answer: Option A. -> 72
SUM OF THE MARKS FOR THE 12 STUDENTS = 12 * 36 = 432. THE MARKS OF EACH STUDENT ARE DOUBLED, THE SUM ALSO WILL BE DOUBLED.
THE NEW SUM = 432 * 2 = 864. SO, THE NEW AVERAGE = 864/12 = 72
Question 3717. Find the average of the series : 312, 162, 132, 142 and 122?
  1.    194
  2.    174
  3.    162
  4.    186
 Discuss Question
Answer: Option B. -> 174
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 3718. The average of 10 numbers is 23. If each number is increased by 4, what will the new average?
  1.    22
  2.    27
  3.    25
  4.    29
 Discuss Question
Answer: Option B. -> 27
SUM OF THE 10 NUMBERS = 230
IF EACH NUMBER IS INCREASED BY 4, THE TOTAL INCREASE =
4 * 10 = 40
THE NEW SUM = 230 + 40 = 270 THE NEW AVERAGE = 270/10 = 27
Question 3719. The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
  1.    50
  2.    47.5
  3.    59
  4.    52.5
 Discuss Question
Answer: Option D. -> 52.5
SUM OF THE MARKS FOR THE CLASS OF 30 STUDENTS = 30 * 40 = 1200
SUM OF THE MARKS FOR THE CLASS OF 50 STUDENTS = 50 * 60 = 3000
SUM OF THE MARKS FOR THE CLASS OF 80 STUDENTS =
1200 + 3000 = 4200
AVERAGE MARKS OF ALL THE STUDENTS = 4200/80 = 52.5
Question 3720. The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
  1.    125
  2.    134
  3.    170
  4.    98
 Discuss Question
Answer: Option A. -> 125
SUM OF THE 35 NUMBERS = 35 * 25 = 875
IF EACH NUMBER IS MULTIPLIED BY 5, THE SUM ALSO GETS MULTIPLIED BY 5 AND THE AVERAGE ALSO GETS MULTIPLIED BY 5.
THUS, THE NEW AVERAGE = 25 * 5 = 125

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