QA – Placement Quizzes | LCM | Question 7

What is the least number which when divided by 4, 5, 6 and 7 leaves a remainder 3, but when divided by 9 leaves no remainder?
(A) 1683
(B) 1263
(C) 843
(D) 423


Answer: (D)

Explanation: LCM of 4,5,6,7 is 420

=>(420k+3) should be divisible by 9

if k =1, 423/9 remainder !=0


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