Select the correct answerIn an examination the average marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was?Options52506074
Question
Select the correct answerIn an examination the average marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was?Options52506074
Solution
To solve this problem, we need to use the formula for average, which is the sum of all values divided by the number of values.
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The average marks obtained by John in English, Maths, Hindi and Drawing were 50. This means the total marks for these four subjects is 50 * 4 = 200.
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His average marks in Maths, Science, Social Studies and Craft were 70. This means the total marks for these four subjects is 70 * 4 = 280.
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The average marks in all seven subjects is 58. This means the total marks for all seven subjects is 58 * 7 = 406.
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Notice that Maths is included in both groups of subjects. This means that when we add the total marks from step 1 and step 2, we are counting the Maths marks twice. So, the total marks from step 1 and step 2 is 200 + 280 = 480.
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To find the Maths marks, we subtract the total marks for all seven subjects from the total marks from step 4. So, the Maths marks is 480 - 406 = 74.
So, the correct answer is 74.
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