Find the greatest number of 4 digits divisible by 15,25,40 and 75.

Correct option is A

Given:
𝑁𝑢𝑚𝑏𝑒𝑟 = 15, 25, 40 𝑎𝑛𝑑 75
Solution:
𝐴𝑠 𝑤𝑒 𝑘𝑛𝑜𝑤 𝑡ℎ𝑒 𝑔𝑟𝑒𝑎𝑡𝑒𝑠𝑡 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 4 𝑑𝑖𝑔𝑖𝑡𝑠 = 9999
𝑇ℎ𝑒 𝐿𝐶𝑀 𝑜𝑓 15, 25, 40 𝑎𝑛𝑑 75 = 600
𝐴𝑠 𝑝𝑒𝑟 𝑡ℎ𝑒 𝑞𝑢𝑒𝑠𝑡𝑖𝑜𝑛 𝑤ℎ𝑒𝑛 𝑤𝑒 𝑑𝑖𝑣𝑖𝑑𝑒 9999 𝑏𝑦 600 𝑡ℎ𝑒𝑛 𝑤𝑒 𝑔𝑒𝑡 16 𝑎𝑛𝑑 𝑟𝑒𝑚𝑎𝑖𝑛𝑑𝑒𝑟 399.
𝑇ℎ𝑢𝑠, 𝑡ℎ𝑒 𝑔𝑟𝑒𝑎𝑡𝑒𝑠𝑡 4−𝑑𝑖𝑔𝑖𝑡 𝑛𝑢𝑚𝑏𝑒𝑟 𝑤ℎ𝑖𝑐ℎ 𝑖𝑠 𝑑𝑖𝑣𝑖𝑑𝑒𝑑 𝑏𝑦 15, 25, 40 𝑎𝑛𝑑 75 = 9999 – 399 = 9600.
𝑇ℎ𝑢𝑠, 𝑡ℎ𝑒 𝑐𝑜𝑟𝑟𝑒𝑐𝑡 𝑎𝑛𝑠𝑤𝑒𝑟 𝑖𝑠 (𝑎).