There are six wires in a table A, B, C, D, E and F they have different length but not necessarily in the same order. E is greater than C but less than D and B. A is greater than D and B. A is not longest wire. F is 13 cm. long and E is 4 cm. long.

If A is 10 cm long and B is 5 cm long, what is the length of wire C?

Question

There are six wires in a table A, B, C, D, E and F they have different length but not necessarily in the same order. E is greater than C but less than D and B. A is greater than D and B. A is not longest wire. F is 13 cm. long and E is 4 cm. long.

If A is 10 cm long and B is 5 cm long, what is the length of wire C?

Accepted Answer

**Solution:** 1. Given lengths: - F = 13 cm - E = 4 cm - A = 10 cm - B = 5 cm 2. From the conditions: - E is greater than C but less than D and B. So, C < E < D and C < E < B - A is greater than D and B. So, A > D and A > B - A is not the longest wire. Since F = 13 cm, which is longer than A (10 cm), F is the longest wire. 3. Since E = 4 cm and B = 5 cm, and E < B, this condition holds. 4. Since E > C, and E = 4 cm, C must be less than 4 cm. 5. Also, E < D and B, so D > 4 cm and B = 5 cm. 6. A = 10 cm > D and B, so D < 10 cm. 7. F = 13 cm is the longest wire. 8. Since C < 4 cm, the only option less than 4 cm among the choices is 2 cm. **Answer:** 2 cm

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