Question

How many numbers between 1 to 550 are divisible by 5 but not by 9 Select one: a. 101 b. None of these c. 98 d. 97

Answer 1

Answer:

$97$ numbers which is divisible by $5$ but not $9.$

Step-by-step explanation:

How many numbers between $1$ to $550.$

are divisible by $5$ but not by $9.$

Solution:

Divisibility Rule: A divisibility rule is a shortcut to find out if a given number is divisible by a particular number, without the use of the whole division process, rather, by just performing a basic test.

So,

$\frac{550}{5}=110\\ 110-1=109$

LCM of $5,9$ is $45$

$\frac {550}{45}$

Quotient is $12$

So, $109-12=97$

Hence, $97$ numbers which is divisible by $5$ not $9.$

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