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 box . 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

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Solution

It is given that if the man packs 3, 4, 5 or 6 boxes in a parcel, he is left with one box but in case of seven no box is left.
The number of total boxes should be a multiple of 7 and when it is divided by 3, 4, 5 or 6 than it should leave a remainder 1. So the answer is-
(B)
301

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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 box . 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

It is given that if the man packs 3, 4, 5 or 6 boxes in a parcel, he is left with one box but in case of seven no box is left.The number of total boxes should be a multiple of 7 and when it is divided by 3, 4, 5 or 6 than it should leave a remainder 1. So the answer is-(B)301

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 box . 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

It is given that if the man packs 3, 4, 5 or 6 boxes in a parcel, he is left with one box but in case of seven no box is left.
The number of total boxes should be a multiple of 7 and when it is divided by 3, 4, 5 or 6 than it should leave a remainder 1. So the answer is-
(B)
301