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Q.

Calculate the sum of odd numbers between 300 and 450 which are divisible by 15. 

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a

1,875

b

3,710

c

3,302

d

3,375   

answer is A.

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Detailed Solution

Number bet. 300 and 450 which are divisible by 15  315, 330, 345, 360, 375, 390, 405, 420, 435.
choosing even number them these  315, 345, 375 …………….. 435
A.P with 1st term = a =315
common difference = d= 30
So that ,
l= a+(n-1) d
= 435 = 315 +(n-1)30
= 435 = 315 = (n-1) 30  =(n-1) = 120/30 = 4
= n= 5
We know 5 = ½ (a+l) = 5/2 (315+435)
= 5/2 (750)
= 1875
Hence, sum at add number divisible by 15 is 1875.        Type -  CBSE
Class-  Grade 10
Topic-  Arithmetic Progression
 
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