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Quantitative Aptitude

AVERAGES MCQs

Averages

Total Questions : 3752 | Page 373 of 376 pages
Question 3721. The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
  1.    3000
  2.    2500
  3.    4500
  4.    5000
 Discuss Question
Answer: Option C. -> 4500
SUM OF THE SALARIES OF THE PERSON FOR THE MONTHS OF JANUARY, FEBRUARY, MARCH AND APRIL = 4 * 8000 = 32000 —-(1)
SUM OF THE SALARIES OF THE PERSON FOR THE MONTHS OF FEBRUARY, MARCH, APRIL AND MAY = 4 * 8500 = 34000 —-(2)
(2)-(1) I.E. MAY – JAN = 2000
SALARY OF MAY IS RS.6500
SALARY OF JANUARY = RS.4500
Question 3722. A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
  1.    17
  2.    29
  3.    18
  4.    19
 Discuss Question
Answer: Option D. -> 19
LET THE AVERAGE AFTER THE 16TH INNING BE P.
SO, THE AVERAGE AFTER THE 15TH INNING WILL BE (P-3) HENCE, 15(P-30) + 64 = 16P => P = 19
Question 3723. The average of five results is 46 and that of the first four is 45. The fifth result is__________?
  1.    1
  2.    10
  3.    12.5
  4.    50
 Discuss Question
Answer: Option D. -> 50
5 * 46 – 4 * 45 = 50
Question 3724. The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
  1.    46
  2.    32
  3.    68
  4.    51
 Discuss Question
Answer: Option A. -> 46
SUM OF ALL THE 13 NUMBERS = 13 * 60 = 780
SUM OF THE FIRST 7 OF THEM = 7 * 57 = 399
SUM OF THE LAST 7 OF THEM = 7 * 61 = 427
SO, THE 8TH NUMBER = 427 + 399 – 780 = 46
Question 3725. Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
  1.    1 year
  2.    1.5 years
  3.    2 years
  4.    2.5 years
 Discuss Question
Answer: Option A. -> 1 year
6 * 22 = 132
7 * 19 = 133
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Question 3726. The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
  1.    46
  2.    56
  3.    34
  4.    57
 Discuss Question
Answer: Option B. -> 56
1 TO 11 = 11 * 50 = 550
1 TO 6 = 6 * 49 = 294
6 TO 11 = 6 * 52 = 312
6TH = 294 + 312 – 550 = 56
Question 3727. Find the average of the first 20 natural numbers?
  1.    10
  2.    11.5
  3.    12
  4.    10.5
 Discuss Question
Answer: Option D. -> 10.5
AVERAGE OF THE FIRST ‘N’ NATURAL NUMBERS = (N + 1)/2
WE GET (20 + 1)/2 = 10.5
Question 3728. The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
  1.    1540
  2.    960
  3.    840
  4.    1020
 Discuss Question
Answer: Option D. -> 1020
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 3729. Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
  1.    Rs.29.25
  2.    Rs.30.25
  3.    Rs.32
  4.    Rs.35
 Discuss Question
Answer: Option A. -> Rs.29.25
AVERAGE OF 9 = X
9X = 8 * 3 + X * 2 X = 3.25
TOTAL = 9 * 3.25 = 29.25
Question 3730. The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
  1.    55 kg
  2.    62 kg
  3.    56 kg
  4.    None
 Discuss Question
Answer: Option D. -> None
25X + 46 = 26(X – 5)
X = 176

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