CAT Quant Practice Problems

Question: A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?
  1. \(2 \le x \le 6\)
  2. \(5 \le x \le 8\)
  3. \(9 \le x \le 12\)
  4. \(11 \le x \le 14\)
  5. \(13 \le x \le 18\)

Correct Option:2

After the first sale, the remaining quantity would be (x/2)-0.5 and after the second sale, the remaining quantity is 0.25x-0.75

After the last sale, the remaining quantity is 0.125x-(7/8) which will be equal to 0

So 0.125x-(7/8) = 0 => x = 7


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