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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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