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

What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?
A. 9800 B. 9600
C. 9400 D. 9200



Answer: Option B
Greatest number of four digits = 9999

 LCM of 15, 25, 40 and 75 = 600

 9999 ÷ 600 = 16, remainder = 399

 Hence, greatest number of four digits which is divisible by 15, 25, 40 and 75
= 9999 - 399 = 9600

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