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Question

The average marks obtained by Raghav in 12 tests is 24. Zubeida has maintained an average of 23 so far but has taken only 9 of the tests. If each test is out of 30, at least how much must Zubeida score in any one of the remaining three tests to still have a chance to match Raghav’s performance?

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is

21

The average marks obtained by Raghav in 12 tests is 24,

⇒ Total marks of Raghav = 12 × 24 = 288

Zubeida has maintained and average of 23 so far but has taken only 9 of the tests,

⇒ Total marks of Zubeida of 9 test = 9 × 23 = 207

⇒ Difference = 288 – 207 = 81

∴ The least require marks = 81 – 30 – 30 = 21
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Similar Questions

  1. The mean of the 5 smallest numbers from a group is 15 while the mean of all the numbers of the group taken together is 17. If the mean of the numbers leaving the smallest five out is 18.25, how many numbers were there in the group in all?

  2. The mean of three numbers is 15. The range of this data set is 8 while the difference between the two smallest numbers is 1. The greatest of the three numbers is:
  3. Four numbers, when arranged in ascending order, are w, x, y and z. The average of the smallest three numbers is 18, while the average of the largest three was 22. What is the range of the data?

  4. The average of three numbers is 6. The average of the first two is 5 while the average of the last two is 8. The three numbers are:

  5. The average marks obtained by Raghav in 15 tests are 25. Zubeida has maintained an average of 23 so far but has taken only 10 of the tests. If each test is out of 30, how much must Zubeida score on average in the remaining 5 tests to still have a chance to match Raghav’s performance?

  6. What is the mean of first 60 natural numbers?

  7. What is the mean of first hundred natural numbers?

  8. The average marks obtained by a group of 10 students were 20. One student left the group as a result of which the average of the remaining students rose to 21. But another student joined, as a result of which the average marks of the group dropped a bit and became 20.6. What were the average marks obtained by the student who left and the one who joined?

  9. The mean score in a test of 12 boys in a class was 16 while the overall mean of 30 students in the class was 18.1. What was the mean score of the girls?

  10. After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12 th innings than in the previous one, how many runs did he score in the 11 th  innings?

Important Questions from Average

  1. Average of 40 numbers is 71, if the number 100 replaced by 140, then average is increased by

  2. The captain of a football team of 11 members is 28 years old and the goalkeeper is 4 years older than him. If the ages of these two are removed, then the average age of the remaining players is two years less than the average age of the whole team. What is the average age of the team?

  3. There are two Classes A and B having 25 and 30 students respectively. In Class-A the highest score is 21 and lowest score is 17. In Class-B the highest score is 30 and lowest score is 22. Four students are shifted from Class-A to Class-B.

    Consider the following statements:

    1. The average score of Class-B will definitely decrease.

    2. The average score of Class-A will definitely increase.

    Which of the above statements is/are correct?

  4. The average weight of A, B, Cis 40 kg, the average weight of B, D, Eis 42 kg and the weight of Fis equal to that of B. What is the average weight of A, B, C, D, Eand F?

  5. A cow costs more than 4 goats but less than 5 goats. If a goat costs between Rs. 600 and Rs. 800, which of the following is a most valid conclusion?

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