Bissoy.com
Doctors Medicines MCQs Q&A

The average marks obtained by 42 students of class A is 79 whereas, the average marks of 38 students of class B is 76. If marks of 5 students are removed who got minimum marks from class A, the average marks of class A is increased by 3 marks, then find the new average marks of class A and B.

The average marks obtained by 42 students of class A is 79 whereas, the average marks of 38 students of class B is 76. If marks of 5 students are removed who got minimum marks from class A, the average marks of class A is increased by 3 marks, then find the new average marks of class A and B. Correct Answer 78.96

Given:

The number of students in class A is 42 and the average is 79

The number of students in class B is 38 and the average is 76

The number of students removed from class A is 5 and 

The average marks of class A  is increased by 3

Formula used:

Average marks of students = Total marks of students/Total number of students

Calculation:

Initially the number of students in class A = 42

Now, According to the question,

⇒ Total number of students in class A after removing 5 students = 37

⇒ The new average marks of students = (79 + 3) = 82

⇒ Total new marks of class A students = 37 × 82 = 3034

The number of students in class B is 38 and the average is 76

⇒ Total marks of class B students = 38 × 76 = 2888

The new average marks of students = Total marks of students/Total number of students

⇒ (3034 + 2888)/(37 + 38)

⇒ 5922/75

⇒ 78.96

∴ The new average marks of class A and class B is 78.96

Related Questions

Seven students – P, Q, R, S, T, U, and V got the highest marks in Mathematics test among all students. Their marks out of 50 are 40, 42, 45, 46, 48, 50 (not necessarily in the same order). Two students have got the same marks as 46. P has neither got the lowest marks nor 46. Q has got the highest marks. U has got higher marks than P. R has got lower marks than T whereas T got lower than P. S has got lower marks than U. Who among the following has got the same marks as 46?
There are six persons Saurav, Harshita, Jay, Ashwini, Jagannath and Sakshi, who got different marks in the examination. Ashwini got more marks than all of them. Jay got more marks than two of them. Jagannath got less marks than only Ashwini. Saurav got less marks than 5 persons. Harshita got more marks than Jay while Sakshi got less marks than Jay. How many persons scored more marks than Sakshi?
The ratio of marks obtained by Rohit in Mathematics to the marks obtained in Science is 8 : 7, the marks of English is 10% more than the marks obtained in Science and the marks obtained in Hindi is 10% less than the marks obtained in Mathematics. If each subject is of 100 marks and the sum of marks of English and Hindi is 149, then find the percentage of passing mark where the passing marks is 40 more than the marks obtained by Rohit in Mathematics.
Ghanshyam and Raju got their marks(out of 50 marks) in 4 subjects i.e English, Science, Maths and Social. The avg marks obtained by Raju is 38. The ratio of marks obtained by Raju and Ghanshyam in Maths is 5 ∶ 6 and the average marks obtained by Ghanshyam is 41. If the marks scored by both of them in English and Science is same and in Social Raju got 5 marks less than Ghanshyam. What is the marks scored by them in English and Science if Raju scored 40 marks in Social?
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.
Yuvraj has got more marks than Shakti. Neha has got less marks than Anamika. Swapnil has got more marks than Adil. Yuvraj gets less marks than Adil. Anamika and Shakti has got equal marks. Aditya has got more marks than Adil but less than only one person in the group. Who has got the highest and lowest marks?
In an examination, there were three subjects Hindi, Maths, and Science. Marks scored by Karan in Hindi is 60. Marks scored by Karan and Lokesh in Maths is equal. Marks scored in 3 subjects by Lokesh is 200. Marks scored by Lokesh in science is 25 % of total marks obtained. Marks scored by Mohit in Hindi is equal to marks scored by Lokesh in Maths. Marks scored in Maths by Mohit is 5 more than the marks scored in Hindi. Marks scored in Maths by Lokesh is 20 more than marks scored in Science. Marks obtained by Karan, Lokesh, and Mohit in Hindi are what percent of marks obtained by Karan, Lokesh, and Mohit in Maths?
Preeti got more marks than Rahul. Yamuna got equal marks as Divya. Lokita got less marks than Manju. Rahul got more marks than Yamuna. Manju got less marks than Divya. Who got the lowest marks?
Four students A, B, C and D distributed 30 marbles among themselves. No two students got equal number of marbles. No student got more than 10 marbles. No student got less than 5 marbles. A and C got odd number of marbles. B and D got even number of marbles. A got more marbles than B, C got more marbles than D, B got more marbles than D.  What is the number of marbles with A? 
. A, B, C, D, E and F compared their marks in an examination and found that A obtained the highest marks, B obtained more marks than D, C obtained more than at least two others and £ had not obtained the lowest marks. Consider the following statements : Statement 1: At least two members obtained less marks than C Statement 2: E and F obtained the same marks Which of the above statement(s) is/are sufficient to identify the one with the , lowest marks ?