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Aptitude · Q162

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

Competitive Exams · Aptitude · question 162

Q162

The greatest 4 digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 = ?

A.
9288
B.
9882
C.
9828
Answer
D.
9928

Answer: Option C

Solution

Answer: Option C
Solution:
The greatest 4 digits number is 9999
The LCM of 12, 18, 21, 28 is 252
On dividing 9999 by 252 the remainder comes out to 171
Required number = 9999 - 171 = 9828