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A total of 972B chocolates are distributed amongst a certain number of people such that each of them gets 327B chocolates. Find the value of B.
  • a)
    13
  • b)
    14
  • c)
    17
  • d)
    19
  • e)
    23
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A total of 972Bchocolates are distributed amongst a certain number of ...
972B = 9B2 + 7B + 2 and 327B = 3B2 + 2B + 7 Now, 4(3B2 + 2B + 7) = 12B2 + 8B + 28 which is much greater than 9B2 + 7B + 2.
Hence, 972B must be either the 2nd or 3rd multiple of 327B.
Now, 2(3B2 + 2B + 7) = 6B2 + 4B + 14 If 972B is the 2nd multiple of 327B, then 9B2 + 7B + 2 = 6B2 + 4B + 14
3B2 + 3B - 12 = 0
Here, we do not get any integral value of B. Hence, 972B must be the 3rd multiple of 327B.
9B2 + 7B + 2 = 3(3B2 + 2B + 7) 
B = 19
Hence, option 4.
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A total of 972Bchocolates are distributed amongst a certain number of people such that each of them gets 327B chocolates. Find the value of B.a)13b)14c)17d)19e)23Correct answer is option 'D'. Can you explain this answer?
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