Question
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: B. 9600
Solution:
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
Hence, the answer is 9600.
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Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?
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