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A student's marks were incorrectly entered as 24 instead of 52. Due to this error, the average marks of the class decreased by 1.4. What is the number
Question

A student's marks were incorrectly entered as 24 instead of 52. Due to this error, the average marks of the class decreased by 1.4. What is the number of students in the class?

A.

20

B.

13

C.

11

D.

30

Correct option is A

Given:
Correct marks = 52
Incorrect marks entered = 24
Decrease in average = 1.4
Formula Used:
Difference in Sum = Number of students × Difference in Average
Solution:
Difference in marks = 52 - 24 = 28
Let the total number of students be n.
Decrease in average = Difference in marksn\frac{Difference\ in\ marks}{n}​​
1.4=28n1.4 = \frac{28}{n}​​

n=281.4=20n = \frac{28}{1.4} = 20​​
Final Answer
So the correct answer is (a)

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