Question

What is the smallest number which when increased by $3$ is divisible by $27,35,25$ and $21$?

• A. $4725$
• B. $4722$
• C. $4728$
• D. None of these

Answer 1

Answer: (B)

$4722$

The smallest number divisible by above 4 numbers will be LCM of them.

Let the no be $x$ then for least value of ${}^{\prime }{x}^{\prime }$

$x+3=$ LCM$(27,35,25,21)$

$\Rightarrow x+3=$ LCM$(3^3,7\times 5,5^2,7\times 3)$

$x+3=3^3\times 7\times 5^2=4725$

$x=4722$.