Question

Which greatest number of 4-digits is exactly divisible by $12,15,20and35$ ?

• A. $9,999$
• B. $9,660$
• C. $9,832$
• D. $9,860$

Answer 1

The correct option is B $9,660$

LCM of 12, 15, 20 and 35 = 420

Largest four digit number = 9999

On dividing 9999 by 420 we get

remainder = 339

So, largest number of 4 digits exactly divisible by 12, 15, 20 and 35 will be

$=9999-339$

$=9660$

So, correct answer is option B.