Question

What is the least number which when divided by $8$, $9$, $12$, $15$ leaves a remainder $1$ in each case?

• A. $179$
• B. $181$
• C. $359$
• D. $361$

Answer 1

Answer: (D)

$361$

first find L.C.M. of 8,9,12,15.

the L.C.M. of is equals to =$360$

hence on adding 1 to this number is = $361$

this is no. that devided by 8,9,12,15 always get 1 as remainder.