The Largest Four ? Digit Number Which When Divided By 4, 7 Or 13 Leav

1.	The Largest Four ? Digit Number Which When Divided By 4, 7 Or 13 Leaves A Remainder Of 3 In Each Case, Is?
Answer» Greatest NUMBER of 4 digits is 9999, L.C.M. of 4, 7 and 13 = 364 On DIVIDING 9999 by 364, REMAINDER OBTAINED is 171. Greatest number of 4 digits DIVISIBLE by 4, 7 and 13 = (9999 ? 171) = 9828 Hence, required number = (9828 + 3) = 9831. Greatest number of 4 digits is 9999, L.C.M. of 4, 7 and 13 = 364 On dividing 9999 by 364, remainder obtained is 171. Greatest number of 4 digits divisible by 4, 7 and 13 = (9999 ? 171) = 9828 Hence, required number = (9828 + 3) = 9831.

The Largest Four ? Digit Number Which When Divided By 4, 7 Or 13 Leaves A Remainder Of 3 In Each Case, Is?

Answer»

Greatest NUMBER of 4 digits is 9999, L.C.M. of 4, 7 and 13 = 364

On DIVIDING 9999 by 364, REMAINDER OBTAINED is 171.

Greatest number of 4 digits DIVISIBLE by 4, 7 and 13 = (9999 ? 171) = 9828

Hence, required number = (9828 + 3) = 9831.

Greatest number of 4 digits is 9999, L.C.M. of 4, 7 and 13 = 364

On dividing 9999 by 364, remainder obtained is 171.

Greatest number of 4 digits divisible by 4, 7 and 13 = (9999 ? 171) = 9828

Hence, required number = (9828 + 3) = 9831.