Question

How many numbers upto 500 are divisible by 177?? A)28 B)30 C)29 D)31​

Answer 1

Step-by-step explanation:

How many numbers upto 500 are divisible by 177?? A)28 B)30 C)29 D)31 hello

Answer 2

Correct Question

How many numbers upto 500 are divisible by 17?? A)28 B)30 C)29 D)31

Answer:

The required  numbers upto 500 are divisible by 17 is 29 and option (C) is correct.

Step-by-step explanation:

Given:

The numbers upto 500 are divisible by 17.

To Find:

The required numbers upto 500 are divisible by 17.

Formula Used:

nth term of the Arithmetic Progression (A.P) $t_{n} = y+(n-1)z$   -- formula no.01.

Where

y = first term

z =   common difference.

n =  number of terms

tn =  nth term of the Arithmetic Progression (A.P)

Solution:

First number upto 500 and divisible by 17 is 17 .

Number just less than 500 and divisible by 17 = 493.

Hence Arithmetic Progression series  17,34,......493( nth term).

y=17 ,   z=17   tn=493

Applying the formula no.01.

$t_{n} = y+(n-1)z$

$493= 17+(n-1)17$

$476= (n-1)17$

$(n-1)=28$

$n=29$

Thus, the required  numbers upto 500 are divisible by 17 is 29 and option (C) is correct.

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