# 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

## CAT Quant Questions with Video Solutions

CAT Quant Practice Problems
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