question_answer

A number, which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder 8 and when divided by 8, leaves a remainder of 7, is

A) 1539                

B) 539  

C) 359      

D) 1359

Correct Answer: C

Solution :

Required number \[=[LCM\,\,(10,9,8)]-1\]

\[\text{LCM}=2\times 2\times 2\times 5\times 9=360\]

\[\therefore \]Number \[=360-1=359\]