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The Nation of Zox


Question

The nation of Zox consists of five islands: Zog, Zod, Zop, Zob and Zoz. The total population of the nation is 750 Zoxians. With these hints, can you figure out how many Zoxians each island contains?

1. The smallest islands has 75 Zoxians.

2. The largest island is Zod. The smallest island is not Zoz.

3. One island has 150 Zoxians. Another has 250.

4. Zob is one and a half times larger than one of the islands.

5. Zop has 100 more Zoxians than the smallest island.

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1. The smallest islands has 75 Zoxians.
2. The largest island is Zod. The smallest island is not Zoz.
3. One island has 150 Zoxians. Another has 250.
4. Zob is one and a half times larger than one of the islands.
5. Zop has 100 more Zoxians than the smallest island.

1) 750 -75 = 675.

5) zop has 175 zoxians. 675-175 = 500.

3) 500-150 = 350 - 250 = 100.

4) i see no concievable way to fulfill this stipulation.

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As noted by dm92 in post#3, statement [4] in the OP is loosely worded, in a way that leaves its meaning unclear.

"Zob is one and a half times larger than one of the islands. meaning 150% larger than. i.e. 250 compared with 100.

What is probably meant is 50% larger than, or half again as much. i.e. 150 compared with 100.

In the early days of dual processors, manufacturers claimed performance increased by nearly 180%. They also, both multiplied and added. What was true was performance nearly doubled. What was (either ineptly or slyly) claimed was it nearly tripled. And it left one to wonder whether an increase of only 80% would imply a performance degradation.

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