CBSE Class 10 Maths (Standard) 2024 · Paper 30/S/1 · Question 37

Arithmetic Progressions 4 marks Medium

A school has decided to plant some endangered trees on

5 1^{s t}

World Environment Day in the nearest park. They have decided to plant those trees in few concentric circular rows such that each succeeding row has 20 more trees than the previous one. The first circular row has 50 trees. Based on the above information, answer the following questions :

(i)How many trees will be planted in the $1 0^{t h}$ row?
(ii)How many more trees will be planted in the $8^{t h}$ row than in the $5^{t h}$ row? (iii)(a) If 3200 trees are to be planted in the park, then how many rows are required? OR (iii)(b) If 3200 trees are to be planted in the park, then how many trees are still left to be planted after the $1 1^{t h}$ row?

(i)How many trees will be planted in the 10th row?[1]
(ii)How many more trees will be planted in the 8th row than in the 5th row?[1]
(iii)(a)If 3200 trees are to be planted, how many rows are required?[2]
(iii)(b)OR If 3200 trees are to be planted, how many trees are left after the 11th row?[2]

Answer

(i)

230

trees are planted in the

1 0^{th}

row; (ii) The

8^{th}

row has

60

more trees than the

5^{th}

row; (iii)(a)

16

rows are required; (iii)(b)

1550

trees are still left to be planted after the

1 1^{th}

row.

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CBSE Class 10 Maths (Standard) 2024 · Paper 30/S/1 · Question 37

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