Question

The four digit number which is divisible by 15,25,40,75 is?

Answer 1

The four digit number which is divisible by 15,25,40,75 is 5

Answer 2

The smallest 4 digit no. which is divisible by 15, 25, 40, 75::

Smallest 4 digit number = 1000

Therefore, LCM of 15, 25, 40, 75 = 600

Now, dividing 1000 by 600, we get remainder as 400.

So, required smallest 4 digit number is

= 1000+ (600-400)

= 1200

The largest four digit number which is divisible by 15, 25, 40, 75::

Largest 4 digit no. = 9999

Therefore, HCF of 15, 25, 40, 75 = 5

Now, dividing 9999 by 5, we get 4 as remainder.

So, required largest 4 digit number is

9999-4 = 9995

THANKS!!

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