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    How many numbers between 1 and 700 are completely divisible by 17?
    Question

    How many numbers between 1 and 700 are completely divisible by 17?

    A.

    46

    B.

    45

    C.

    42

    D.

    41

    Correct option is D

    Given:
    Numbers 1 to 700
    Formula Used:
    Last Term(ana_n​) = First Term(a)+ (Number of terms(n) - 1) × Common Difference(d)

    ​​Solution:

    We know a=17 and d=17
    Sequence: 17, 34, 51,…,697, where the last term l=697
    ana_n​=697, a=17, and d=17
    697=17+(n-1)⋅17
    697-17=(n-1)⋅17
    680=(n-1)⋅17
    n-1= 68017\frac{680}{17}​​
    n-1=40
    n= 41

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