The least number which when divided by 4, 6, 7 and 8 leaves a remainder 6, but when divided by 9 leaves no remainder, is Choose the correct option.
A) 340 B) 342 C) 523 D) 363 E) none of these

Rationale: "explanation : l . c . m of 4 , 6 , 7 , 8 = 168 therefore required number is of the form 168 k + 6 . least value of k for which ( 168 k + 6 ) is divisible by 9 is k = 2 therefore required number = ( 168 x 2 + 6 ) = 342 . answer : b"
Answer: B