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The average of 19 consecutive natural numbers is 41. What is the smallest number among these numbers?
Question

The average of 19 consecutive natural numbers is 41. What is the smallest number among these numbers?

A.

30

B.

32

C.

31

D.

33

Correct option is B

Given:

Average of 19 consecutive natural numbers = 41

We are to find the smallest number among them.

Concept Used:

For an odd number of consecutive terms, the average is equal to the middle term.

Formula Used:

Smallest = Average(n12)\text{Average} - \left(\frac{n - 1}{2}\right)​​

Solution: 

Middle term = 41

Total numbers = 19

Thus, 

Smallest = 41 - 1912\frac{19 - 1}{2}​ = 41 - 9 = 32

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