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QA – Placement Quizzes | LCM | Question 7

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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

When 423 is divided by 4, 5, 6, 7, it gives remainder 3 and when divided by 9 leaves a remainder 0.
So, the least number which when divided by 4, 5, 6 and 7 leaves a remainder 3, but when divided by 9 leaves no remainder is 423


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Last Updated : 28 Jun, 2021
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