What is the greatest number of four digits which is exactly divisible by $15, 25, 40$ and $75$ separately?

9000

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9400

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9600

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

9800

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $9600$
Greatest number of four digits $= 9999.$
L.C.M of $15, 25, 40$ and $75.$
$= 5 \times 5 \times 3 \times 8$
$= 600$
Dividing $9999$ by $600$ the remainder $= 399$
$∴$ The required number $= 9999 - 399 = 9600.$

Suggest Corrections

Join BYJU'S Learning Program