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A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was

  • A.8
  • B.12
  • C.16
  • D.24

Answer: A

Correct answer: 8

Let \( n \) be the original number. Each was to pay \( 96/n \) and each of the \( n-4 \) who came paid 4 more: \[ \frac{96}{n-4} - \frac{96}{n} = 4 \;\Rightarrow\; 384 = 4n(n-4) \;\Rightarrow\; n^2 - 4n - 96 = 0, \] giving \( n = 12 \). The question asks how many attended, which is \( 12-4 = 8 \) - and answering 12 is the trap the wording sets.

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