24 and 3614. Find the largest four-digits number which when divided by

1.	24 and 3614. Find the largest four-digits number which when divided by 4,7 and 13leaves a remainder of 3 in each case.beddedbe 2401 babu
Answer» largest 4 digit number = 9999 we have toFind the largest 4 digit number which when divided by 4 , 7 and 13 leaves a remainder 3 in each case =>let us find the lcm of 4,7 and 13 = >prime factoristion of 4 = 22 =>prime factoristion of 7 = 71 =>prime factoristion of 13 = 131 => 2 713 2 =>364 now let us divide 9999/364 =>27.4697............... =>27 [approx] =>27* 364 =>9828 now let us add 3 to it =>9828 +3 = 9831 Therefore 9831 is the number.

24 and 3614. Find the largest four-digits number which when divided by 4,7 and 13leaves a remainder of 3 in each case.beddedbe 2401 babu

Answer»

largest 4 digit number = 9999

we have toFind the largest 4 digit number which when divided by 4 , 7 and 13 leaves a remainder 3 in each case

=>let us find the lcm of 4,7 and 13

= >prime factoristion of 4 = 2*2

=>prime factoristion of 7 = 7*1

=>prime factoristion of 13 = 13*1

=> 2 *7*13 *2

=>364

now let us divide 9999/364

=>27.4697...............

=>27 [approx]

=>27* 364

=>9828

now let us add 3 to it

=>9828 +3 = 9831

Therefore 9831 is the number.