The Greatest Number of Four Digits Which is Divisible by 15, 25, 40 and 75 is:

  1. 9000
  2. 9400
  3. 9600
  4. None of these
Monis Rasool Professor Asked on 13th June 2015 in Maths.
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1 Answer(s)

Answer: (3) 9600
Explanation:-

Greatest number of four digit = 9999
The LCM of 15, 25, 40 and 75
Factors of 15 = 3 x 5
25 = 5 x 5
40 = 2 x 2 x 2 x 5
75 = 3 x 5 x 5
The LCM of 15, 25 , 40 and 75 = 2 x 2 x 2 x 3  x 5 x 5 = 600
9999 / 600 = 16 and remainder = 399
The greatest number of four digits which is divisible by 15, 25, 40 and 75 = 9999 – 399
= 9600
Hence, the answer is (3) 9600.

Anurag Mishra Professor Answered on 13th June 2015.
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