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Aptitude · Q5

Problems On H.C.F And L.C.M

Competitive Exams · Aptitude · question 5

Q5

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A.
9000
B.
9400
C.
9600
Answer
D.
9800

Answer: Option C

Solution

Answer: Option C
Solution:
Greatest number of 4-digits is 9999.
L.C.M. of 15, 25, 40 and 75 is 600.
On dividing 9999 by 600, the remainder is 399.
∴ Required number (9999 - 399) = 9600.