A Volvo bus from Chennai to Bangalore has 5 stops in between. At each stop,…
2025
A Volvo bus from Chennai to Bangalore has 5 stops in between. At each stop, half of the people will get down. After reaching Bangalore there are only 2 people left out How many people are there on the bus start?
- A.
66
- B.
67
- C.
64
- D.
62
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Correct answer: C
Key idea: reverse the process. If half the people get off at each stop, then to find the initial number we double the remaining number at each previous step.
After reaching Bangalore (after 5 stops): 2 people remain.
Before the last stop (one step earlier): 2 × 2 = 4 people.
Before the previous stop: 4 × 2 = 8 people.
Continue doubling: 8 × 2 = 16 people.
Next earlier stop: 16 × 2 = 32 people.
Initial number before the first stop: 32 × 2 = 64 people.
Answer: 64 people