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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
A man packs boxes 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. What is the number of boxes?
Solution
N ≡ 1 (mod 3,4,5,6) ⇒ N ≡ 1 (mod 60). Also N ≡ 0 (mod 7).
So 60m+1 ≡ 0 (mod 7) ⇒ 4m+1 ≡ 0 ⇒ m ≡ 5 (mod 7) ⇒ smallest N = 60×5+1 = 301.
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