Simple Average Problem MCQ Quiz - Objective Question with Answer for Simple Average Problem - Download Free PDF
Last updated on Jun 13, 2025
Latest Simple Average Problem MCQ Objective Questions
Simple Average Problem Question 1:
20 students of a college went to a hotel. 19 of them spent Rs. 175 each on their meal and the 20th student spent Rs. 19 more than the average of all the 20. Find the total money spent by them.
Answer (Detailed Solution Below)
Simple Average Problem Question 1 Detailed Solution
Given:
Total students = 20
19 students spent = 175 each
Formula used:
Average cost = Total cost/total number of person
Calculation:
Let the 20th student spend = X
According to the question:
⇒ (19 × 175 + X)/20 = X - 19
⇒ (3325 + X) = 20 × (X - 19)
⇒ 3325 + X = 20X - 380
⇒ 19X = 3325 + 380 = 3705
⇒ X = 3705/19 = Rs.195
Total money spent at hotel = (19 × 175) + 195
⇒ 3325 + 195 = Rs.3520
∴ The correct answer is Rs.3520.
Alternate Method
Total Student = 20
Let Avg spend by 20 students = y
Total spend = 20y
⇒ 20y = 19 × 175 + (y + 19)
⇒ 19y = 3344
⇒ y = 176
Total spend = 20 × 176
∴ Total money spent by them is Rs. 3520
Simple Average Problem Question 2:
The average of 12 numbers is 48. The average of the first 5 numbers is 45 and the average of next 4 numbers is 52. If the 10th number is 10 less than the 11th number and is 5 more than the 12th number, then the average of the 11th and 12th numbers is:
Answer (Detailed Solution Below)
Simple Average Problem Question 2 Detailed Solution
Given:
Average of 12 numbers = 48
Average of first 5 numbers = 45
Average of next 4 numbers = 52
10th number = 11th number - 10
10th number = 12th number + 5
Formula used:
Sum = Average × Number of terms
Calculations:
Total sum of 12 numbers = 48 × 12 = 576
Sum of first 5 numbers = 45 × 5 = 225
Sum of next 4 numbers = 52 × 4 = 208
Sum of 10th, 11th, and 12th numbers = 576 - (225 + 208) = 143
Let the 11th number = x.
Then, 10th number = x - 10 and 12th number = x - 15.
Sum of 10th, 11th, and 12th numbers:
(x - 10) + x + (x - 15) = 143
⇒ 3x - 25 = 143
⇒ 3x = 168
⇒ x = 56
11th number = 56
12th number = 56 - 15 = 41
Average of 11th and 12th numbers = (56 + 41) ÷ 2 = 48.5
∴ The average of the 11th and 12th numbers is 48.5.
Simple Average Problem Question 3:
The average temperature of a city for the first sixteen days of January is 22ºC, and the average temperature for the last sixteen days of the same month is 26ºC. If the average temperature for the entire month is 24ºC, what is the temperature on the sixteenth day?
Answer (Detailed Solution Below)
Simple Average Problem Question 3 Detailed Solution
Given:
Average temperature for the first 16 days = 22ºC
Average temperature for the last 16 days = 26ºC
Average temperature for the entire month = 24ºC
Formula used:
Sum of temperatures = Average temperature × Number of days
Calculations:
Total temperature for the first 16 days = 22 × 16 = 352ºC
Total temperature for the last 16 days = 26 × 16 = 416ºC
Total temperature for 31 days (entire month) = 24 × 31 = 744ºC
Since the 16th day is counted in both halves, we need to find the temperature on the 16th day (T) that satisfies:
⇒ 352 + 416 - T = 744
⇒ 768 - T = 744
⇒ T = 768 - 744
⇒ T = 24ºC
∴ The temperature on the sixteenth day is 24ºC.
Simple Average Problem Question 4:
The average age of a group of friends is 27 years. If 4 new friends whose average age is 25 years join them, the average age of the entire group becomes 26 years. How many people were there in the group initially?
Answer (Detailed Solution Below)
Simple Average Problem Question 4 Detailed Solution
Given:
The average age of a group of friends is 27 years.
If 4 new friends whose average age is 25 years join them, the average age of the entire group becomes 26 years.
Calculation:-
Let's denote the initial number of friends in the group as "N".
The sum of the ages of the initial N friends = 27N.
After 4 new friends join the group, the average age becomes 26 years.
Now, the total sum of ages of the entire group after the 4 new friends join,
⇒ 26 (N + 4).
According to this question,
⇒ 27N + 4 × 25 = 26N + 104
⇒ 27N + 100 = 26N + 104
⇒ N + 100 = 104
Subtract 100 from both sides: N = 4
∴ Initially, there were 4 friends in the group.
Simple Average Problem Question 5:
20 students of a college went to a hotel. 19 of them spent Rs. 175 each on their meal and the 20th student spent Rs. 19 more than the average of all the 20. Find the total money spent by them.
Answer (Detailed Solution Below)
Simple Average Problem Question 5 Detailed Solution
Given:
Total students = 20
19 students spent = 175 each
Formula used:
Average cost = Total cost/total number of person
Calculation:
Let the 20th student spend = X
According to the question:
⇒ (19 × 175 + X)/20 = X - 19
⇒ (3325 + X) = 20 × (X - 19)
⇒ 3325 + X = 20X - 380
⇒ 19X = 3325 + 380 = 3705
⇒ X = 3705/19 = Rs.195
Total money spent at hotel = (19 × 175) + 195
⇒ 3325 + 195 = Rs.3520
∴ The correct answer is Rs.3520.
Alternate Method
Total Student = 20
Let Avg spend by 20 students = y
Total spend = 20y
⇒ 20y = 19 × 175 + (y + 19)
⇒ 19y = 3344
⇒ y = 176
Total spend = 20 × 176
∴ Total money spent by them is Rs. 3520
Top Simple Average Problem MCQ Objective Questions
20 students of a college went to a hotel. 19 of them spent Rs. 175 each on their meal and the 20th student spent Rs. 19 more than the average of all the 20. Find the total money spent by them.
Answer (Detailed Solution Below)
Simple Average Problem Question 6 Detailed Solution
Download Solution PDFGiven:
Total students = 20
19 students spent = 175 each
Formula used:
Average cost = Total cost/total number of person
Calculation:
Let the 20th student spend = X
According to the question:
⇒ (19 × 175 + X)/20 = X - 19
⇒ (3325 + X) = 20 × (X - 19)
⇒ 3325 + X = 20X - 380
⇒ 19X = 3325 + 380 = 3705
⇒ X = 3705/19 = Rs.195
Total money spent at hotel = (19 × 175) + 195
⇒ 3325 + 195 = Rs.3520
∴ The correct answer is Rs.3520.
Alternate Method
Total Student = 20
Let Avg spend by 20 students = y
Total spend = 20y
⇒ 20y = 19 × 175 + (y + 19)
⇒ 19y = 3344
⇒ y = 176
Total spend = 20 × 176
∴ Total money spent by them is Rs. 3520
The average age of a group of friends is 27 years. If 4 new friends whose average age is 25 years join them, the average age of the entire group becomes 26 years. How many people were there in the group initially?
Answer (Detailed Solution Below)
Simple Average Problem Question 7 Detailed Solution
Download Solution PDFGiven:
The average age of a group of friends is 27 years.
If 4 new friends whose average age is 25 years join them, the average age of the entire group becomes 26 years.
Calculation:-
Let's denote the initial number of friends in the group as "N".
The sum of the ages of the initial N friends = 27N.
After 4 new friends join the group, the average age becomes 26 years.
Now, the total sum of ages of the entire group after the 4 new friends join,
⇒ 26 (N + 4).
According to this question,
⇒ 27N + 4 × 25 = 26N + 104
⇒ 27N + 100 = 26N + 104
⇒ N + 100 = 104
Subtract 100 from both sides: N = 4
∴ Initially, there were 4 friends in the group.
The average of six numbers is 3.52. The average of two of them is 3.7, while the average of other two is 2.5. What is the average of the remaining two?
Answer (Detailed Solution Below)
Simple Average Problem Question 8 Detailed Solution
Download Solution PDFGiven:
Average of six numbers = 3.52
Average of two numbers = 3.7
Average of the other two = 2.5
Formula used:
Average = Total sum of numbers/Number of numbers
Calculation:
Total sum of six numbers = 3.52 × 6
⇒ 21.12
Total sum of two numbers = 3.7 × 2
⇒ 7.4
The total sum of the other two numbers = 2.5 × 2
⇒ 5
Total sum of remaining two numbers = 21.12 - 7.4 - 5
8.72
Average of remaining two numbers = 8.72/2 = 4.36
∴ The average of the remaining two is 4.36.
Simple Average Problem Question 9:
20 students of a college went to a hotel. 19 of them spent Rs. 175 each on their meal and the 20th student spent Rs. 19 more than the average of all the 20. Find the total money spent by them.
Answer (Detailed Solution Below)
Simple Average Problem Question 9 Detailed Solution
Given:
Total students = 20
19 students spent = 175 each
Formula used:
Average cost = Total cost/total number of person
Calculation:
Let the 20th student spend = X
According to the question:
⇒ (19 × 175 + X)/20 = X - 19
⇒ (3325 + X) = 20 × (X - 19)
⇒ 3325 + X = 20X - 380
⇒ 19X = 3325 + 380 = 3705
⇒ X = 3705/19 = Rs.195
Total money spent at hotel = (19 × 175) + 195
⇒ 3325 + 195 = Rs.3520
∴ The correct answer is Rs.3520.
Alternate Method
Total Student = 20
Let Avg spend by 20 students = y
Total spend = 20y
⇒ 20y = 19 × 175 + (y + 19)
⇒ 19y = 3344
⇒ y = 176
Total spend = 20 × 176
∴ Total money spent by them is Rs. 3520
Simple Average Problem Question 10:
The average age of a group of friends is 27 years. If 4 new friends whose average age is 25 years join them, the average age of the entire group becomes 26 years. How many people were there in the group initially?
Answer (Detailed Solution Below)
Simple Average Problem Question 10 Detailed Solution
Given:
The average age of a group of friends is 27 years.
If 4 new friends whose average age is 25 years join them, the average age of the entire group becomes 26 years.
Calculation:-
Let's denote the initial number of friends in the group as "N".
The sum of the ages of the initial N friends = 27N.
After 4 new friends join the group, the average age becomes 26 years.
Now, the total sum of ages of the entire group after the 4 new friends join,
⇒ 26 (N + 4).
According to this question,
⇒ 27N + 4 × 25 = 26N + 104
⇒ 27N + 100 = 26N + 104
⇒ N + 100 = 104
Subtract 100 from both sides: N = 4
∴ Initially, there were 4 friends in the group.
Simple Average Problem Question 11:
The average temperature of a city for the first sixteen days of January is 22ºC, and the average temperature for the last sixteen days of the same month is 26ºC. If the average temperature for the entire month is 24ºC, what is the temperature on the sixteenth day?
Answer (Detailed Solution Below)
Simple Average Problem Question 11 Detailed Solution
Given:
Average temperature for the first 16 days = 22ºC
Average temperature for the last 16 days = 26ºC
Average temperature for the entire month = 24ºC
Formula used:
Sum of temperatures = Average temperature × Number of days
Calculations:
Total temperature for the first 16 days = 22 × 16 = 352ºC
Total temperature for the last 16 days = 26 × 16 = 416ºC
Total temperature for 31 days (entire month) = 24 × 31 = 744ºC
Since the 16th day is counted in both halves, we need to find the temperature on the 16th day (T) that satisfies:
⇒ 352 + 416 - T = 744
⇒ 768 - T = 744
⇒ T = 768 - 744
⇒ T = 24ºC
∴ The temperature on the sixteenth day is 24ºC.
Simple Average Problem Question 12:
The average of 12 numbers is 48. The average of the first 5 numbers is 45 and the average of next 4 numbers is 52. If the 10th number is 10 less than the 11th number and is 5 more than the 12th number, then the average of the 11th and 12th numbers is:
Answer (Detailed Solution Below)
Simple Average Problem Question 12 Detailed Solution
Given:
Average of 12 numbers = 48
Average of first 5 numbers = 45
Average of next 4 numbers = 52
10th number = 11th number - 10
10th number = 12th number + 5
Formula used:
Sum = Average × Number of terms
Calculations:
Total sum of 12 numbers = 48 × 12 = 576
Sum of first 5 numbers = 45 × 5 = 225
Sum of next 4 numbers = 52 × 4 = 208
Sum of 10th, 11th, and 12th numbers = 576 - (225 + 208) = 143
Let the 11th number = x.
Then, 10th number = x - 10 and 12th number = x - 15.
Sum of 10th, 11th, and 12th numbers:
(x - 10) + x + (x - 15) = 143
⇒ 3x - 25 = 143
⇒ 3x = 168
⇒ x = 56
11th number = 56
12th number = 56 - 15 = 41
Average of 11th and 12th numbers = (56 + 41) ÷ 2 = 48.5
∴ The average of the 11th and 12th numbers is 48.5.
Simple Average Problem Question 13:
The average of six numbers is 3.52. The average of two of them is 3.7, while the average of other two is 2.5. What is the average of the remaining two?
Answer (Detailed Solution Below)
Simple Average Problem Question 13 Detailed Solution
Given:
Average of six numbers = 3.52
Average of two numbers = 3.7
Average of the other two = 2.5
Formula used:
Average = Total sum of numbers/Number of numbers
Calculation:
Total sum of six numbers = 3.52 × 6
⇒ 21.12
Total sum of two numbers = 3.7 × 2
⇒ 7.4
The total sum of the other two numbers = 2.5 × 2
⇒ 5
Total sum of remaining two numbers = 21.12 - 7.4 - 5
8.72
Average of remaining two numbers = 8.72/2 = 4.36
∴ The average of the remaining two is 4.36.
Simple Average Problem Question 14:
20 students of a college went to a hotel. 19 of them spent Rs. 175 each on their meal and the 20th student spent Rs. 19 more than the average of all the 20. Find the total money spent by them.
Answer (Detailed Solution Below)
Simple Average Problem Question 14 Detailed Solution
Given:
Total students = 20
19 students spent = 175 each
Formula used:
Average cost = Total cost/total number of person
Calculation:
Let the 20th student spend = X
According to the question:
⇒ (19 × 175 + X)/20 = X - 19
⇒ (3325 + X) = 20 × (X - 19)
⇒ 3325 + X = 20X - 380
⇒ 19X = 3325 + 380 = 3705
⇒ X = 3705/19 = Rs.195
Total money spent at hotel = (19 × 175) + 195
⇒ 3325 + 195 = Rs.3520
∴ The correct answer is Rs.3520.
Alternate Method
Total Student = 20
Let Avg spend by 20 students = y
Total spend = 20y
⇒ 20y = 19 × 175 + (y + 19)
⇒ 19y = 3344
⇒ y = 176
Total spend = 20 × 176
∴ Total money spent by them is Rs. 3520