DIRECTIONS : Problems based on Average.
| 1. |
There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of sections A is 40 kg and that of sections b is 35 kg. Find the average weight of the whole class? |
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A. 36.25 |
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B. 37.25 |
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C. 38.35 |
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D. 39.25 |
| Solution |
| Total weight of(36+44)Students | = (36x40+44x35)Kg |
| = 2980 kg. |
| Average weight of the whole class | = (2980 / 80) |
| = 37.25. |
|
| 2. |
A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. Find his average after 17th inning? |
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A. 19 |
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B. 29 |
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C. 39 |
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D. 49 |
| Solution |
| Let the average after 17th inning = x. Then, average after 16th inning = (x - 3) |
| Average |
| =16 (x-3)+87 |
| = 17x or x=(87-48) |
| = 39. |
|
| 3. |
The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years? |
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A. 31 |
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B. 41 |
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C. 51 |
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D. 61 |
| Solution |
| Age of the teacher | = (37 x 15 - 36 x 14) |
| = 51 years. |
|
| 4. |
David obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks? |
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A. 65 |
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B. 69 |
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C. 72 |
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D. 75 |
| Solution |
Average = (76+65+82+67+85 / 5) | =(375 / 5) |
| = 75. |
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| 5. |
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero? |
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A. 0 |
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B. 1 |
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C. 10 |
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D. 19 |
| Solution |
| Average of 20 numbers |
= 0 |
| Sum of 20 numbers |
=(0 x 20) =0. |
| It is quite possible that 19 of these numbers may be positive and if there sum id a, then 20th number is (-a). |
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