A monkey while trying to reach the top of a pole of height 12 meters takes every time a jump of 2 meters but slips 1 meter while holding the pole. The number of jumps required to reach the top of the pole, is:

Options

A. 6
B. 10
C. 11
D. 12

Answer

To solve the problem of how many jumps the monkey needs to reach the top of a 12-meter pole, we can break it down step by step:

### Step-by-Step Solution:

1. **Understand the Jump and Slip Mechanism**:
- The monkey jumps up 2 meters but then slips down 1 meter.
- Therefore, for each jump, the effective height gained by the monkey is:
\[ \text{Effective height gain} = 2 \text{ meters (jump)} - 1 \text{ meter (slip)} = 1 \text{ meter} \]

2. **Calculate the Effective Jumps**:
- Since the monkey effectively gains 1 meter for each jump, we can calculate how many jumps it takes to reach close to the top of the pole.
- The height of the pole is 12 meters. The monkey will continue to jump until it reaches or exceeds this height.

3. **Determine the Height Before the Last Jump**:
- After 10 jumps, the monkey will have effectively climbed:
\[ 10 \text{ jumps} \times 1 \text{ meter/jump} = 10 \text{ meters} \]
- At this point, the monkey is at a height of 10 meters.

4. **Calculate the Last Jump**:
- On the 11th jump, the monkey jumps up 2 meters from 10 meters:
\[ 10 \text{ meters} + 2 \text{ meters} = 12 \text{ meters} \]
- Since the monkey reaches the top of the pole (12 meters), it does not slip back down after this jump.

5. **Total Jumps Required**:
- The total number of jumps required for the monkey to reach the top of the pole is:
\[ 10 \text{ jumps (to reach 10 meters)} + 1 \text{ jump (to reach 12 meters)} = 11 \text{ jumps} \]

### Final Answer:
The monkey requires a total of **11 jumps** to reach the top of the 12-meter pole.

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