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Out of the three annual examinations, each with a total of 500 marks, a student secured average marks of 56% and 64% in the first and second annual examinations. To have an overall average of 64%, how many marks does the student need to secure in the third annual examination ?
360
340
320
270
Solution: Total marks for three examinations = 3x 500 = 1500 Total required marks in three examinations = 64% of 1500 = 960 Marks secured in first examination = 56 % of 500 =280 Marks secured in third examination = 64 % of 500 =320 Thus, the required marks in third examination =960 – ( 280 + 320 ) =960 – 600 = 360.
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