How many numbers are there between 1 and 200 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) First,find the count of numbers between $1$ and $200$ that are divisible by $3$. This is given by $lfloor 200/3 floor = 66$.Next,identify numbers

Vedclass · Accepted Answer

$57$

Vedclass · Answer

(C) First,find the count of numbers between $1$ and $200$ that are divisible by $3$. This is given by $lfloor 200/3 floor = 66$.Next,identify numbers that are divisible by both $3$ and $7$. Since $3$ and $7$ are coprime,these are multiples of $	ext{lcm}(3, 7) = 21$.The count of numbers between $1$ and $200$ divisible by $21$ is $lfloor 200/21 floor = 9$.To find the numbers divisible by $3$ but not by $7$,subtract the count of multiples of $21$ from the count of multiples of $3$.Result $= 66 - 9 = 57$.

How many numbers are there between $1$ and $200$ which are divisible by $3$ but not by $7$?

Similar Questions

$\left[(7.99)^{2}-(13.001)^{2}+(4.01)^{3}\right]^{2}=?$

What is the least value of $K$ so that the number $6735K1$ is divisible by $9$?

The least positive integer that should be subtracted from $3011 \times 3012$ so that the difference is a perfect square,is

The number that must be added to $5555$ to obtain the least number of six figures exactly divisible by $357$ is:

$A$ and $B$ are positive integers. If $A + B + AB = 65$,then what is the difference between $A$ and $B$ (given $A, B \leq 15$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module