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200 logs are stacked in the following ma...

200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on (see Figure). In how may rows are the 200 logs placed and how many logs are in the top row?

Text Solution

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Here, a is the first term, d is a common difference and n is the number of terms.
It can be observed that the number of logs in rows are forming an A.P. `20, 19, 18, ...`
For this A.P.,
...
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200 logs are stacked in such a way that there are 20 logs in the bottom row, 19 in the next row, 18 in the next row and so on. In how many rows, 200 logs are placed and how many logs are there in the top row?

Knowledge Check

  • In a row of trees one tree is the 7th from either end of the row. How many trees are there in the row ?

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    11
    B
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    15
    D
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  • In a row of cars, red car is 14th from left and 23rd from right. How many cars are there in the row?

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    (A). 36
    B
    (B). 37
    C
    (C). 35
    D
    (D). 34
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