The greatest 4-digit number exactly divisible by 10, 15, 20 is = ?
A. 9990
B. 9960
C. 9980
D. 9995
Answer: Option B
Solution (By Examveda Team)
LCM of (10, 15, 20)⇒ 5 × 2 × 3 × 2 = 60
⇒ Largest 4-digit number = 9999
divide 9999 by LCM of given number
⇒ We get remainder = 39
⇒ So, to divide completely subtract it from (9999 - 39) = 9960
∴ 9960 is the largest four digit number which is completely divided by the given numbers.
This Question Belongs to Arithmetic Ability >> Problems On H.C.F And L.C.M
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