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The marks obtained by Denice in 4 subjects in an examination are in th
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Bunuel
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The marks obtained by Denice in 4 subjects in an examination are in th [#permalink] New post  26 Jan 2021, 08:45
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The marks obtained by Denice in 4 subjects in an examination are in the ratio 5 : 6 : 7 : 8. The maximum marks that can be secured in any subject are 100, and the marks scored by Denice in each subject are integers. If he has obtained 80 marks in one of the subjects, find his average marks.

(A) 55
(B) 60
(C) 65
(D) 66
(E) 66.67
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Re: The marks obtained by Denice in 4 subjects in an examination are in th [#permalink] New post  26 Jan 2021, 19:52
Important: "the marks scored by Denice in each subject are integers"

Since the marks obtained in all the subjects are integer and only \(5, 8\) satisfies the condition.

Ans C
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Re: The marks obtained by Denice in 4 subjects in an examination are in th [#permalink] New post  26 Jan 2021, 22:18
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Let the marks be 5x, 6x, 7x and 8x

Let 5x = 80, then x = 16. We see that 7x = 102, which crosses the max marks of 100

let 6x = 80, then x = 40/3. 7x then becomes a fraction, and we are told that all the marks are integers.

Similarly, if 7x = 80, we get marks as fractions.


If 8x = 80, then x = 10 and the marks are 50, 60, 70 and 80.

The average is therefore (50 + 60 + 70 + 80)/4 = 65


Option C

Arun Kumar
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Re: The marks obtained by Denice in 4 subjects in an examination are in th [#permalink]
26 Jan 2021, 22:18
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