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Question

Mathematics Question on linear inequalities

Ankur appeared in an examination which has 5 subjects, out of five, in four subjects he got 90,70,75,6590, 70, 75, 65 marks respectively. The minimum & maximum marks he should score in fifth subject so that the average mark is greater than or equal to 70 and less than or equal to 75 is

A

55,7555, 75

B

55,7055, 70

C

50,7550, 75

D

50,7050, 70

Answer

50,7550, 75

Explanation

Solution

Let Ankur got ???So,averagemarks??? So, average marks =\frac{90+70+75+65+x}{5}GivenGiven70 \le \frac{90+70+75+65+x}{5} \le75 350 \le300+x\le375 50 \le x\le75$