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Aptitude · Q128

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

Competitive Exams · Aptitude · question 128

Q128

What is the greatest number of 3 digits which when divided by 6, 9 and 12 leaves a remainder of 3 in each case ?

A.
903
B.
939
C.
975
Answer
D.
996

Answer: Option C

Solution

Answer: Option C
Solution:
Greatest number of three digits is 999. LCM of 6, 9 and 12 is 36
On dividing 999 by 36, the remainder obtained is 27.
So, required number = (999 - 27) + 3 = 975