On multiplying a number by 3, the product is a number each of whose digits is 7. What is the smallest such number?	Choose the correct answer
A) 259129  B) 259219  C) 259279  D) 259259  E) None of the above
Explanation:   Let's use hit and trial method here.   Smallest number from the given choices = 259129   259129 × 3 = 777387   Next highest number from the given choices = 259219   259219 × 3 = 777657   Next highest number from the given choices = 259259   259259 × 3 = 777777   Hence 259259 is the answer.   Answer: 259259
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On multiplying a number by 3, the product is a number each of whose digits is 7. What is the smallest such number?