Logical Puzzles Hard 3 min

Three boxes contain coins. One box contains only gold coins, one contains only silver coins, and one contains a mixture. Every label is wrong. You may take one coin from one box. Which box should you choose?

Hint

Choose the box whose incorrect label gives the most information.

Answer

Choose the box labelled Mixed.

Explanation

Because every label is wrong, the box labelled Mixed cannot actually be mixed. A single coin from it therefore identifies whether it is the all-gold or all-silver box, allowing the other two boxes to be deduced.

Step-by-Step Solution

1. Select the box labelled Mixed.
2. Draw one coin.
3. If gold, that box is Gold.
4. The box labelled Silver must then be Mixed.
5. The remaining box is Silver.
6. Reverse the logic if the drawn coin is silver.

6 puzzles

Six people A, B, C, D, E and F sit in a row. A sits immediately to the left of B. C sits immediately to the right of D. E sits at the extreme left. F sits at the extreme right. Who occupies the two middle positions?

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Medium

Five students P, Q, R, S and T scored different marks. P scored more than Q but less than R. S scored less than Q. T scored more than R. Who scored the highest and who scored the lowest?

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Hard

Four tasks W, X, Y and Z must be completed one at a time. W must be before X. Y must be before Z. X must be before Y. Which task must be completed third?

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Hard

Seven runners finish a race. A finishes before B. B finishes before C. D finishes after C. E finishes before A. F finishes after D. G finishes before E. Who must finish before everyone else?

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