Find the least multiple of 23,which when divided by 18,21 and 24 leaves remainders 7,10 and 13 respectively.  Choose one
A) 3002 B) 3013 C) 3024 D) 3036 E) None of these
Solution   Here (18 - 7)= 
<gadget id="calculator">(18 - 7)</gadget>
<output>11</output>
11, (21 - 10)= 11 and   (24 - 13)= 
<gadget id="calculator">  (24 - 13)</gadget>
<output>11</output>
11. L.C.M. of 18,21 and 24 is 504.   Let required number be 504 k - 11.   Least value of k for which (504 k - 11 ) is divisible 23 is k= 6.   So, Required number = 504 × 6 - 11 =3024 - 11= 
<gadget id="calculator">3024 - 11</gadget>
<output>3_013</output>
3013.   Answer 3013
<result>B</result>
Find the least multiple of 23,which when divided by 18,21 and 24 leaves remainders 7,10 and 13 respectively.