Question

A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left over. What is the number of boxes he may have to pack?

• A. 106
• B. 301
• C. 309
• D. 400

Answer 1

Answer: (B)

301

Answer 2

Number should be of the form
$3n_1+1,4n_2+1,5n_3+1,6n_4+1$
Required number $= LCM(3,4,5,6)+1$
$= 301$
The correct option is