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If all the odd numbers are removed from 3 to 39, then how many numbers remain?
Question

If all the odd numbers are removed from 3 to 39, then how many numbers remain?

A.

19

B.

18

C.

17

D.

16

Correct option is B

Given:
 the range of numbers from 3 to 39, and we need to remove all the odd numbers, leaving only the even numbers.
Concept Used:
The even numbers between 3 and 39 form an arithmetic sequence, starting at 4 and ending at 38, with a common difference of 2. 
Formula Used: 
For AP series ,
l = a + (n -1)d 
where, l = last term, a = first term, n = no. of terms, d = common difference.
Solution: 
Here given that, range 3 to 39 with no odd numbers
So, numbers are 4 , 6 , 8 ............ 38.
Now, a = 4 , d = 2, l = 38 
substituting the values
38 = 4 + (n - 1)2 
38 - 4 = (n - 1)2 
n - 1 = 342\frac{34}{2}  
n = 17 + 1 
n = 18 
Thus, there are 18 numbers between 3 to 39 after removing odd numbers.

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