WBCS.LIVE practice 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; if he packs 7 in a parcel, none is left over. What is the number of boxes he may have to pack?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 106
  2. 301
  3. 309
  4. 400

Correct answer and explanation

Correct answer: 301

Explanation: āœ… Correct Answer: B) 301 šŸ“š Explanation: This is an LCM problem. We find the LCM of 3, 4, 5, and 6, which is 60. The number must be in the form 60k + 1 and also be divisible by 7. Testing values of k, we find 60(5) + 1 = 301 Which is perfectly divisible by 7 (43 * 7 = 301)