Cluster · Average Marks and Weighted Average Problems

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Clusters / #1134
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Weighted Average Marks Problems
Questions
142
Questions in this cluster
142 total
Question Category Subtype Difficulty

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)

pipeline-1157365
up_police intermediate

A class teacher conducted a unit test in the class. If out of 30 students, 14 scored 80 and the rest 16 students scored 65, then what is the weighted average score?

pipeline-1114975
up_police intermediate

The average mark of 60 students in a class is 62. The average marks of boys and girls in that subject are 60 and 65, respectively. The number of boys in the class is:

pipeline-1115440
up_police intermediate

The average marks of class IX students are 73 and the average marks of class X students are 72. The ratio of the number of students in classes IX and X is 2 : 3. Find the average marks of students in both classes together.

pipeline-1036294
rpf intermediate

A class consists of 25 boys and 15 girls. The average marks of boys and girls in a test are 23.48 and 27.24 respectively. What is the overall average of the class?

pipeline-726770
rpf intermediate

A group of 17 students in a class obtained a class average of 77 in an examination. If the score of the topper and last rank holder is removed, the average increases by 1. If the lowest score is 44, then what is the score of the topper?

pipeline-703532
rpf intermediate

The average marks obtained by boys and girls in a test are given below:

Types of students Boys Girls
No. of students 32 28
Average marks obtained 75 80

Find the average marks by total students in a test.

pipeline-563730
rpf intermediate

The average marks of three students in mathematics is 65. When the marks of fourth students are added to it the average decreased by 3. Find the marks obtained by the fourth student.

pipeline-1036060
rpf intermediate

A class of 45 students took a Mathematics test. 20 students had an average score of 81. The other students had an average score of 56. What is the approximate average score of the whole class?

pipeline-590914
rpf intermediate

There are 35 students in a class, the average marks in the test of this class are 70. In the next test, average marks are increased by 10 as 5 new students also appeared in the test. Find the difference of total marks of both the tests.

pipeline-484310
rpf intermediate

In a school, section A students have an average of 65 marks while section B students have an average of 80 marks. When combined, the students' average becomes 75. What is the ratio of the number of students in section B to the number of students in section A?

pipeline-1268386
banking intermediate

In a class of 50 students, the average score in a math test is 75. However, there are two distinct groups of students with varying performance. The first group of 25 students has an average score of 95, while the second group of 25 students has an average score of 65.

I. The total score of the first group of students is 2375.

II. The total score of the class is 3750.

III. If the first group of students received an additional bonus point, raising their average to 96, and the second group's average remained the same, then, the new average of the whole class is 80.5.

pipeline-1254230
banking intermediate

Last year average score secured in SBI Clerk exam by students from Delhi was observed to be 74. If there were 10000 students who took were from Delhi and upon rechecking, marks of 60% of students increased by an average of 2, then what would be new average marks secured by Delhi students post rechecking?

pipeline-1259823
banking intermediate

If there are 40 students in class 5 and the average percentage of marks in UT- 2 is 60 for all the students of Class 5. If 3 students with 32, 28, 34 marks are removed from the class then what will be the new average percentage of marks of class 5 in UT-2?

pipeline-1252334
banking percentage intermediate

If the total number of students in class 4 is 36 and in rechecking of in UT-2 marks of 3 students of class increased by 34, 28, 10 and that of 3 students decreased by 16 and 10. What will be the new average score of class 4 in UT-2?

pipeline-1252337
banking intermediate

If in Class 4 there are 3 sections and the ratio of their number of students is 2 : 3 : 4 and the average marks scored by them in the ratio 4 : 3 : 1 in UT-1. By what percent are the average marks of 2nd section more than the class average?

pipeline-1252335
banking percentage intermediate

In a class, the number of boys is 40% more than that of girls. In an examination, the average marks obtained by boys are 20% less than the average marks obtained by girls. If the average marks obtained by all the boys and girls are 53, then what are the average marks obtained by the boys?
 

pipeline-1272507
defence intermediate

A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 68. What is the average score of the class?

pipeline-1255619
ib intermediate

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?

pipeline-1252997
ib intermediate

In a class, the number of boys is 40% more than the number of girls. The average score in mathematics of all the students in the class is 55. If the average score of girls is 35% more than that of boys, then what is the average score in mathematics of girls?

pipeline-1238399
ib intermediate

In a class of 240 students, 37.5% are boys and the remaining are girls. The average of the boys’ marks is 67.1, and that of the girls is 85.5. What are the average marks of the whole class?

pipeline-1263499
ib intermediate

The ratio of the number of boys to that of girls in a class is 4 : 5. The average score in mathematics of all the boys and girls is 70. If the average score of the girls is 30% more than that of the boys, then what is the average score of the boys?

pipeline-1232100
ib intermediate

The number of students in a class who have answered correctly, incorrectly, or not attempted each question in an examination is shown in the table below. The marks for each question are also listed. There is no negative or partial marking.

Q no. Marks Answered Correctly Answered Incorrectly Not Attempt
1 1 20 10 10
2 2 15 15 10
3 5 20 20 0
4 10 12 15 13

Find the average of the marks obtained by the class in the examination.

pipeline-1194762
delhi_police intermediate

In a class of 50 students, the average score in a math test is 75. However, there are two distinct groups of students with varying performance. The first group of 25 students has an average score of 95, while the second group of 25 students has an average score of 65.

I. The total score of the first group of students is 2375.

II. The total score of the class is 3750.

III. If the first group of students received an additional bonus point, raising their average to 96, and the second group's average remained the same, then, the new average of the whole class is 80.5.

pipeline-1232104
ib intermediate

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?

pipeline-1172733
delhi_police intermediate

In class 12, R has two language subjects and three science subjects. His average marks in the language subjects are 65 and his overall average marks are 72. What are his average marks in the science subjects?

pipeline-1172827
delhi_police intermediate

The average of the marks scored by Amit in 5 subjects is 72. If the average of the marks scored in 3 of these subjects is 70, then what is the average of the marks in the remaining subjects?

pipeline-1112520
delhi_police intermediate

A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 60. What is the average score of the class?

pipeline-1112524
delhi_police intermediate

The average score of 84 students (boys and girls) on a test is 95. The ratio of the number of boys to that of girls is 10: 11. The average score of the boys is 20% less than that of the girls. What is the average score of the boys on the test?

pipeline-1134502
delhi_police intermediate

In a test, the average score of 50 students is 66. Out of the total students, 40% are girls and the rest are boys. The average score of the boys is 20% less than that of the girls. What is the average score of the girls? 

pipeline-1083900
delhi_police intermediate

Of the 5 subjects, the average marks of Rakesh in first 3 subjects was 75 and the average marks in the last 3 subjects was 82. If his marks in the third subject was 66, then what was his average marks in all the 5 subjects?

pipeline-1173045
delhi_police intermediate

10th class of 40 students took a Maths test. 25 students had an average score of 60. The other students had an average score of 80. What is the average score of the whole class?

pipeline-1139386
delhi_police intermediate

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?

pipeline-1133786
delhi_police intermediate

The average marks obtained by 19 boys of a college is 48. If the highest marks and lowest marks obtained are removed, then the average is reduced by 4. What is the average of the highest and lowest marks obtained?

pipeline-1096699
delhi_police intermediate

On mixing two classes A and B of students with average marks of 50 and 80, respectively, the average marks obtained are 60. Find the respective ratios of the students in classes A and B.

pipeline-1103312
delhi_police intermediate

In a group of 60 students, 50% are interested in history, and the rest are interested in geography. If the average score in history is 85, and the average score in geography is 75, what is the average score for the entire group?

pipeline-1086734
delhi_police intermediate

The average marks scored by a student in 4 subjects is 75. But when the marks of English are added to it, the overall average became 70. How much did he score in English?

pipeline-1085506
delhi_police intermediate

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)

pipeline-1257088
delhi_police intermediate

The average marks of three batches of 25, 31 and 41 students is 20, 26 and 56, respectively. Find the average marks of all the students (rounded off to two places of decimal).

pipeline-1198598
delhi_police intermediate

The average marks of three students in mathematics is 65. When the marks of fourth students are added to it the average decreased by 3. Find the marks obtained by the fourth student.

pipeline-1194853
delhi_police intermediate

In a class, there are 29 boys and 21 girls. The average score of boys in Maths is 89, whereas the average score of girls in maths is 91. What is the average of the whole class in maths?

pipeline-1111636
delhi_police intermediate

A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 68. What is the average score of the class?

pipeline-1094307
delhi_police intermediate

The average marks obtained by boys and girls in a test are given below:

Types of Students Boys Girls
No. of students 32 28
Average marks obtained 75 80

Find the average marks obtained by the total students in the test.

pipeline-1023234
railways intermediate

In a certain examination, an examinee scored average marks of 70 per paper. If he had scored 22 more marks in his Hindi paper and 18 more marks in his physics paper, he would have had a better average per paper of 75. How many papers were there in the examination?

pipeline-841718
railways intermediate

The average mark obtained by a class in a Mathematics test was found to be 15.4. The average of only the girl students was found to be 0.6 more than the class average whereas that of the boys was 1 less than that of girls. What is the ratio of the number of boys/ Number of girls in the class?

pipeline-842788
railways intermediate

In a certain examination, an examinee scored average marks of 70 per paper. If he had scored 22 more marks in his Hindi paper and 18 more marks in his physics paper, he would have had a better average per paper of 75. How many papers were there in the examination?

pipeline-823546
railways intermediate

In class 12, R has two language subjects and three science subjects. His average marks in the language subjects are 65 and his overall average marks are 72. What are his average marks in the science subjects?

pipeline-1195235
railways intermediate

A class of 66 students made a mean score of 62 marks, and another class of 34 students made it exactly 51.5. What is the overall mean score?

pipeline-1199448
railways intermediate

If the average marks of three classes of 60, 65, and 70 students are 60, 65, and 70 respectively, find the average marks of all the students. (Approximately)

pipeline-1096794
railways intermediate

The average marks of three students in mathematics is 65. When the marks of fourth students are added to it the average decreased by 3. Find the marks obtained by the fourth student.

pipeline-1048010
railways intermediate
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