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Q.

Students in one school made the decision to plant trees inside and outside the building to minimize air pollution. It was decided that each section of each class would plant twice as many trees as the one in which they are enrolled. Find out how many trees students planted in the school if there are 1 to 12 classes and each class has two sections.


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a

400 

b

350

c

312

d

300

answer is C.

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Detailed Solution

Given that the number of trees planted by the students of each section of class 1 is 2 and there are two sections of class 1.
So according to the given condition, number of trees planted by the students of class
1 = 2 × 2 = 4.
Also, given that the number of trees planted by the students of each section of class 2 is 4 and there are two sections of class 2.
So according to the given condition, number of trees planted by the students of class
2 = 2 × 4 = 8.
Also, given that the number of trees planted by the students of each section of class 3 is 6 and there are two sections of class 3.
So according to the given condition number, of trees planted by the students of class
3 = 2 × 6 = 12.
So, the number of trees planted by the students of different classes is 4, 8, 12,..... which is an arithmetic series.
a=4 and n=12 d=84 d=4
Formula used for sum of first n term of A.P.:
S n = n 2 [2a+(n1)d]
Applying sum of n terms of an A.P. formula:
S 12 = 12 2 [2×4+(121)×4] S 12 =6×(8+44) =6×52 =312
Therefore, the total number of trees planted by the students is 312.
Hence, option (3) is correct.
 
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