The Marks scored by Aishwarya in an examination in Maths, Science, Hindi and S. Science are 91, 85, 75 and 80. She forgot her marks in English but remembers that it differed from rest of the subjects by 2, 3, 9 and 7 but not necessary in that order. What are her English marks?
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Answer:
82
Step-by-step explanation:
let the marks of English be x.
Since x differs max by 9, max possible value os 91+9 = 100 or 75-9 = 66.
So the marks can be anyone of 35 numbers from 66 to 100
Since other marks are 91,85,75 and 80, they are ruled out.
Numbers differ by 2 from 91,85,75,80 are 72,77,78,82,83,87,89 and 93
Numbers differ by 3 from 91,85,75,80 are 72,78,77,83,82,88 and 94
Numbers differ by 7 from 91,85,75,80 are 68,82,73,87,78,92,87 and 98
Numbers differ by 9 from 91,85,75,80 are 66,84,71,89,76,94,82 and 100
Common number in the above 4 groups is 82 .... Ans
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