Question

What is the distance between the first pole A and the last pole G?

• A. 40 m
• B. 49 m
• C. 45 m
• D. None of these
• A. 26 m
• B. 19 m
• C. 22 m
• D. None of these
• A. \(8(\frac{1}{2})\)
• B. \(7(\frac{1}{2})\)
• C. 9
• D. None of these

Answer 1

The Correct Option is C

The correct option is (C): 45 m
Explanation:To find the distance between the first pole A and the last pole G, we start with the information given:

1. The distance between the first two poles A and B is 10 metres.
2. The distance between each subsequent pair of poles decreases by 1 metre.

Let's calculate the distances:

- Distance between A and B: 10 m
- Distance between B and C: 9 m
- Distance between C and D: 8 m
- Distance between D and E: 7 m
- Distance between E and F: 6 m
- Distance between F and G: 5 m

Now, we add these distances to find the total distance between pole A and pole G:

\[\text{Total distance} = AB + BC + CD + DE + EF + FG\]
\[= 10 + 9 + 8 + 7 + 6 + 5 = 45 \text{ m}\]

Thus, the distance between pole A and pole G is 45 m.

Answer 2

The correct option is (A): 26 m
Let's calculate the distance the monkey covers when hopping from pole G to pole C.

The distances between the poles are as follows:

- Distance between G and F: 5 m
- Distance between F and E: 6 m
- Distance between E and D: 7 m
- Distance between D and C: 8 m

Now, summing these distances from G to C:

\[\text{Total distance} = GF + FE + ED + DC = 5 + 6 + 7 + 8 = 26 \text{ m}\]

Thus, the monkey covers 26 meters.

Answer 3

The correct option is (C): 9
Explanation:
Distance between A and B = 10m
Distance between B and C = 9m
Distance between C and D = 8m
Distance between D and E = 7m
Distance between E and F = 6m
Distance between F and G = 5m
Total distance = 45m
Since one pole is removed, we now need to place only 6 poles \(=>\) 5 equal spaces = \(\frac{45}{5}\) = 9m