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Question

The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of 4 : 3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?

The correct answer is

(c) 0.80 inch

The average rainfall in six days = 0.5 inch. Hence, total rainfall in six days = 0.5 × 6 = 3 inch The average rainfall in a city for the first four days = 0.4 inch So, total rainfall in these four days = 0.4 × 4 = 1.6 inch Hence, rainfall in the last two days = 3 – 1.6 = 1.4 inch Now, it’s given that the rainfall on the last two days was in the ratio of 4:3. Hence, rainfall on the fifth day = 1.4 × [4/(4 + 3)] = 1.4 × (4/7) = 0.8 inch

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Important Questions from Average

  1. The sum of five numbers is 655. The average of the first two numbers is 78 and the third number is 108. Find the average of the remaining two numbers?

  2. Find the average of 320 , 330 , 340 .

  3. The average of 11 numbers is 18. Out of these 11 numbers, the average of 9 numbers is 17. If the ratio of the remaining two numbers is 2 : 3. What is the smaller number?

  4. In a school, the average age of students is 13 years and the average age of 14 teachers is 34 years. If the average age of teachers and students combined is 14 years, then the number of students is?

  5. The average mark of 13 papers is 80. The average marks of the first 7 papers are 84 and that of the last 7 papers is 70. Find the marks obtained in the 7th paper.

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