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In a bucket and ball race, a bucket is p...

In a bucket and ball race, a bucket is placed at the starting point. Which is 5m from the first ball, and other balls are placed 3m apart in a straight line. There are ten balls in the line.

A competitor starts from the bucket, picks up the nearest ball, runs back with it, drops it in the bucket, runs back to pick up the next ball, runs to the bucket to drop it in, and she continues in the same way until all the balls are in the bucket. What is the total distance the competitor has to run?
[ Hint: To pick up the second ball, the total distance (in metres) run by a competitor is `2 xx 5 + 2 xx (5+3)`]

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The correct Answer is:
370 m
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VGS PUBLICATION-BRILLIANT-PROGRESSIONS-Exercise 6.3
  1. Find the sums given below: (iii) -5+(-8)+(-11)+……+(-230)

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  2. In an AP: (i) Given a = 5, d = 3, a(n) = 50, find n and S(n).

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  3. In an AP: (ii) Given a = 7, a(13) = 35, find d and S(13).

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  4. In an AP: (iii) Given a(12) = 37, d = 3, find a and S(12).

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  5. In an AP: (iv) Given a(3) = 15, S(10) = 125, find d and a(10).

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  6. In an AP: (v) Given a = 2, d = 8, S(n) = 90, find n and a(n).

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  7. In an AP: (vi) Given a(n) = 4, d = 2, S(n) = -14, find n and a.

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  8. In an AP: (vii) Given l = 28, S = 144, and there are total 9 terms. ...

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  9. The first and the last terms of an A.P. are 17 and 350 respectively. I...

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  10. Find the sum of first 51 terms of an AP whose second and third terms a...

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  11. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289...

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  12. Show that a(1), a(2), …….., a(n)….. form an AP where a(n) is defined a...

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  13. Show that a(1), a(2),……, a(n)…. Form an AP where a(n) is defined as be...

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  14. If the sum of the first n terms of an AP is 4n-n^(2) , what is the fir...

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  15. Find the sum of the first 40 positive intergers divisible by 6.

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  16. A sum of Rs. 700 is to be used to give seven cash prizes to students ...

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  17. In a school, students thought of planting trees in an around the schoo...

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  18. A sprial is made up of successive semicircles, with centres alternatel...

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  19. 200 logs are stacked in the following manner : 20 logs in the bottom r...

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  20. In a bucket and ball race, a bucket is placed at the starting point. W...

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