Find the sum of all natural numbers between 300 and 500 which are divisible by 11.
A.7337
B.7227
C.7447
D.7557
Ans: B
Explanation:
It makes an arithmetic progression.
Sum =1/2 n (a+l)
a- first term
l- last term
n- no of terms
In this case a=308 , b=495
( The smallest and largest numbers between 300-500 which are exactly divisible by 11)
To find n:
500-300=200
200/11 = 18 (Don't mind about remainder)
Therefore n=18
Substituting the values in the formula,
1/2 18 (308+495)=9*803=7227
A.7337
B.7227
C.7447
D.7557
Ans: B
Explanation:
It makes an arithmetic progression.
Sum =1/2 n (a+l)
a- first term
l- last term
n- no of terms
In this case a=308 , b=495
( The smallest and largest numbers between 300-500 which are exactly divisible by 11)
To find n:
500-300=200
200/11 = 18 (Don't mind about remainder)
Therefore n=18
Substituting the values in the formula,
1/2 18 (308+495)=9*803=7227