A man has a certain number of small boxes to pack into parcles If he packs 3 4 5 or 6 in a parcel he...........

Logical Reasoning(Master ) Arithmetical Reasoning

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

106

301

309

400

409

छोटे Courses बड़े Results

Master Arithmetical Reasoning

Prepare through Micro-courses

Try Now

Explanation:

Clearly, the required number would be such that it leaves a remainder of 1 when divided by 3, 4, 5,
or 6 and no remainder when divided by 7.
Thus, the number must be of the form (L.C.M of 3, 4, 5, 6) x + 1 i.e., (60x + 1 ) and a multiple of 7.
Clearly, for x = 5, the number is a multiple of 7.
So the number is 301.