**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?

- \(2 \le x \le 6\)
- \(5 \le x \le 8\)
- \(9 \le x \le 12\)
- \(11 \le x \le 14\)
- \(13 \le x \le 18\)

**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 2019 Online Course

## CAT Quant Questions with Video Solutions

- CAT Quant Questions Set 01
- CAT Quant Questions Set 02
- CAT Quant Questions Set 03
- CAT Quant Questions Set 04
- CAT Quant Questions Set 05
- CAT Quant Questions Set 06