find the least number which when divided by 56 , 78 leaves a remainder 3 but when divided by 9 leaves no remainder Choose the correct choice
A) 9632	B) 7896	C) 8741	D) 1683	E) 8523

Rationale: l . c . m of 5,6 , 7,8 = 840 required number is of the form of 840 k + 3 least value of k for which ( 840 k + 3 ) is divided by 9 is k = 2 required number = ( 840 * 2 + 3 ) = 1683 answer ( d )
Answer: D