Marks Based MCQ Quiz - Objective Question with Answer for Marks Based - Download Free PDF
Last updated on Jun 12, 2025
Latest Marks Based MCQ Objective Questions
Marks Based Question 1:
If the average marks of three classes of 75, 80 and 85 students are 75, 80, 85 respectively, find the average marks of all the students. (approximately)
Answer (Detailed Solution Below)
Marks Based Question 1 Detailed Solution
Given:
Class 1: Number of students = 75, Average marks = 75
Class 2: Number of students = 80, Average marks = 80
Class 3: Number of students = 85, Average marks = 85
Formula used:
Overall average = \(\frac{\text{Sum of marks of all classes}}{\text{Total number of students}}\)
Calculation:
Sum of marks for Class 1 = 75 × 75 = 5625
Sum of marks for Class 2 = 80 × 80 = 6400
Sum of marks for Class 3 = 85 × 85 = 7225
Total sum of marks = 5625 + 6400 + 7225 = 19250
Total number of students = 75 + 80 + 85 = 240
⇒ Overall average = \(\frac{19250}{240}\)
⇒ Overall average = 80.2083 (approximately)
∴ The correct answer is option (1).
Marks Based Question 2:
The average score in the Mathematics exam of a class of 60 students is 52. A group of 8 boys with an average score of 40 left the class and another group of 10 boys with an average score of 43 joined the class. What is the new average score of the class? (correct to one decimal place)
Answer (Detailed Solution Below)
Marks Based Question 2 Detailed Solution
Given:
Average score of 60 students = 52
Number of students in the class initially = 60
Average score of 8 boys who left = 40
Average score of 10 boys who joined = 43
Formula used:
New average = \(\dfrac{\text{Total sum of scores after changes}}{\text{Total number of students after changes}}\)
Calculation:
Sum of scores of 60 students = 60 × 52 = 3120
Sum of scores of 8 boys who left = 8 × 40 = 320
Sum of scores of 10 boys who joined = 10 × 43 = 430
Total sum of scores after changes = 3120 - 320 + 430 = 3230
Total number of students after changes = 60 - 8 + 10 = 62
New average = \(\dfrac{3230}{62}\)
⇒ New average = 52.1
∴ The correct answer is option (2).
Marks Based Question 3:
In a math exam, two students scored 95, six students scored 90, three students scored 80, and one student scored 50. What was the average score of the class?
Answer (Detailed Solution Below)
Marks Based Question 3 Detailed Solution
Given:
Scores: 95 (2 students), 90 (6 students), 80 (3 students), 50 (1 student)
Total students = 2 + 6 + 3 + 1 = 12
Formula used:
Average score = (Sum of all scores) / (Total number of students)
Calculation:
Sum of scores = (95 × 2) + (90 × 6) + (80 × 3) + (50 × 1)
⇒ Sum of scores = 190 + 540 + 240 + 50 = 1020
Average score = 1020 / 12 = 85
∴ The correct answer is option (1).
Marks Based Question 4:
A class of 30 students appeared in a test. The average score of 12 students is 60, and that of the rest is 80. What is the average score of the class?
Answer (Detailed Solution Below)
Marks Based Question 4 Detailed Solution
Given:
Number of students = 30
Average score of 12 students = 60
Average score of the rest (18 students) = 80
Formula Used:
Average score of the class = Total score of the class / Total number of students
Calculation:
Total score of 12 students = 12 × 60
Total score of 12 students = 720
Total score of the remaining 18 students = 18 × 80
Total score of the remaining 18 students = 1440
Total score of the class = 720 + 1440
Total score of the class = 2160
Average score of the class = 2160 / 30
⇒ Average score of the class = 72
The average score of the class is 72.
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Marks Based Question 5:
In the 8th class, consisting of 30 students, a Mathematics test was taken. 10 students had an average score of 90. The other students had an average score of 75. What is the average score of the whole class?
Answer (Detailed Solution Below)
Marks Based Question 5 Detailed Solution
Given:
Total number of students = 30
Number of students with an average score of 90 = 10
Number of students with an average score of 75 = 30 - 10 = 20
Formula Used:
Average score of the whole class = (Total score of all students) / (Total number of students)
Calculation:
Total score of 10 students = 10 × 90 = 900
Total score of 20 students = 20 × 75 = 1500
Total score of all students = 900 + 1500 = 2400
Average score of the whole class = Total score of all students / Total number of students
⇒ Average score = 2400 / 30
⇒ Average score = 80
The average score of the whole class is 80.
Top Marks Based MCQ Objective Questions
The average marks of 60 students in a class are 62. The average marks of boys and girls in that subject are 60 and 65, respectively. The number of boys in the class is :
Answer (Detailed Solution Below)
Marks Based Question 6 Detailed Solution
Download Solution PDFGiven:
The average marks of 60 students are 62
The average marks of the boys = 60
The average marks of the girls = 65
Formula used:
Average = Sum of observation/Total number of observation
Calculation:
Let the no. of boys in the class be X
The no. of girls in the class be (60 - X).
According to the questions,
65 × (60 - X) + (60 × X) = (60 × 62)
⇒ 3900 - 65X + 60X = 3720
⇒ 180 = 5X
⇒ X = 36
So, the number of boys = 36
∴ The number of boys in the class is 36.
Shortcut Trick
Here, (3 + 2) = 5 unit → 60 students
Then, 3 unit → 60/5 × 3 = 36 students (Boys)
College P has 180 students scoring average marks of 88 and college Q has 320 students scoring average marks of 72. Find the average marks of both the colleges together.
Answer (Detailed Solution Below)
Marks Based Question 7 Detailed Solution
Download Solution PDFCalculation:
Total marks of college P is 180 × 88 = 15840
Total marks of college Q is 320 × 72 = 23040
Total number of students is 320 + 180 = 500
Average will be , \(23040+15840\over500\) = 77.76
∴ The correct option is 3
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Pass percentage of an examination is 35%. If a student who get 210 marks, failed by 14 marks, then what are the maximum marks of the examination?
Answer (Detailed Solution Below)
Marks Based Question 8 Detailed Solution
Download Solution PDFGiven:
Failed by = 14 marks
Marks obtained = 210 marks
Concept used:
If he failed by means we need to add that and if he passed by we will subtract it.
Calculations:
Let, the total marks is x
⇒ (35x/100) = 210 + 14
⇒ (35x/100) = 224
⇒ x = 22400/35
⇒ x = 640
The answer is 640 marks.
If the average marks of three classes of 75, 80 and 85 students are 75, 80, 85 respectively, find the average marks of all the students. (approximately)
Answer (Detailed Solution Below)
Marks Based Question 9 Detailed Solution
Download Solution PDFGiven:
Class 1: Number of students = 75, Average marks = 75
Class 2: Number of students = 80, Average marks = 80
Class 3: Number of students = 85, Average marks = 85
Formula used:
Overall average = \(\frac{\text{Sum of marks of all classes}}{\text{Total number of students}}\)
Calculation:
Sum of marks for Class 1 = 75 × 75 = 5625
Sum of marks for Class 2 = 80 × 80 = 6400
Sum of marks for Class 3 = 85 × 85 = 7225
Total sum of marks = 5625 + 6400 + 7225 = 19250
Total number of students = 75 + 80 + 85 = 240
⇒ Overall average = \(\frac{19250}{240}\)
⇒ Overall average = 80.2083 (approximately)
∴ The correct answer is option (1).
Marks Based Question 10:
The average marks of 60 students in a class are 62. The average marks of boys and girls in that subject are 60 and 65, respectively. The number of boys in the class is :
Answer (Detailed Solution Below)
Marks Based Question 10 Detailed Solution
Given:
The average marks of 60 students are 62
The average marks of the boys = 60
The average marks of the girls = 65
Formula used:
Average = Sum of observation/Total number of observation
Calculation:
Let the no. of boys in the class be X
The no. of girls in the class be (60 - X).
According to the questions,
65 × (60 - X) + (60 × X) = (60 × 62)
⇒ 3900 - 65X + 60X = 3720
⇒ 180 = 5X
⇒ X = 36
So, the number of boys = 36
∴ The number of boys in the class is 36.
Shortcut Trick
Here, (3 + 2) = 5 unit → 60 students
Then, 3 unit → 60/5 × 3 = 36 students (Boys)
Marks Based Question 11:
In an examination of 7 papers of 100 marks each, there were 3 mathematics papers, 2 English papers and 2 Hindi papers. D gets average marks of 45, 55 and 60 in mathematics, English and Hindi, respectively. What are the average marks per paper?
Answer (Detailed Solution Below)
Marks Based Question 11 Detailed Solution
In an examination of 7 papers of 100 marks each,
there were 3 mathematics papers, 2 English papers,
and 2 Hindi papers.
D gets average marks of 45, 55, and 60 in mathematics,
English and Hindi,
Formula used:-
Average = sum of values/number of values
Calculation:-
D's marks in mathematics papers = 3 papers × 45 marks
⇒ 135 marks
D's marks in English papers = 2 papers × 55 marks
⇒ 110 marks
D's marks in Hindi papers = 2 papers × 60 marks
⇒ 120 marks
Total marks obtained by D =135 + 110 + 120
⇒ 365 marks
Average marks per paper = 365/7 = 52.14
∴ The average mark per paper for D is approximately 52.14.
Marks Based Question 12:
The average marks (out of 100) of boys and girls in an examination are 75 and 80, respectively. If the average marks of all the students in that examination are 78. Find the ratio of the number of boys to the number of girls.
Answer (Detailed Solution Below)
Marks Based Question 12 Detailed Solution
Given:
The average marks of boys = 75
The average marks of girls = 80
The average marks of all students = 78
Formula used:
Let the number of boys be B and the number of girls be G.
Total marks of boys = 75B
Total marks of girls = 80G
Total number of students = B + G
Total marks of all students = 78(B + G)
Calculation:
75B + 80G = 78(B + G)
⇒ 75B + 80G = 78B + 78G
⇒ 80G - 78G = 78B - 75B
⇒ 2G = 3B
⇒ G/B = 3/2
⇒ B/G = 2/3
∴ The correct answer is option (1).
Marks Based Question 13:
College P has 180 students scoring average marks of 88 and college Q has 320 students scoring average marks of 72. Find the average marks of both the colleges together.
Answer (Detailed Solution Below)
Marks Based Question 13 Detailed Solution
Calculation:
Total marks of college P is 180 × 88 = 15840
Total marks of college Q is 320 × 72 = 23040
Total number of students is 320 + 180 = 500
Average will be , \(23040+15840\over500\) = 77.76
∴ The correct option is 3
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Marks Based Question 14:
Pass percentage of an examination is 35%. If a student who get 210 marks, failed by 14 marks, then what are the maximum marks of the examination?
Answer (Detailed Solution Below)
Marks Based Question 14 Detailed Solution
Given:
Failed by = 14 marks
Marks obtained = 210 marks
Concept used:
If he failed by means we need to add that and if he passed by we will subtract it.
Calculations:
Let, the total marks is x
⇒ (35x/100) = 210 + 14
⇒ (35x/100) = 224
⇒ x = 22400/35
⇒ x = 640
The answer is 640 marks.
Marks Based Question 15:
A group of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 62. What is the average score of the group?
Answer (Detailed Solution Below)
Marks Based Question 15 Detailed Solution
Given:
Number of students = 30
Average score of 12 students = 62
Average score of the rest 18 students = 62
Formula Used:
Average score of the group = (Total score of the group) / (Total number of students)
Calculation:
Total score of 12 students = 12 × 62
Total score of the rest 18 students = 18 × 62
Total score of the group = (12 × 62) + (18 × 62)
Total number of students = 30
Total score of the group = 744 + 1116
Total score of the group = 1860
Average score of the group = 1860 / 30
⇒ Average score of the group = 62
The average score of the group is 62.