NIMCET 2008 — Reasoning PYQ

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Question

NIMCET 2008 — Reasoning PYQ

NIMCET | Reasoning | 2008

In the middle of the confounded desert, there is the lost city of ‘’Ash’’. To reach it, I will have to travel overland by foot from the coast. On a trek like this, each person can only carry enough rations for five days and the farthest we can travel in one day is 30 miles. Also, the city is 120 miles from the starting point. What I am trying to figure out is the fewest number of persons, including myself, that I will need in our group so that I can reach the city, stay overnight, and then return to the coast, without running out of supplies. How many persons (including myself) will I need to accomplish this mission?

Choose the correct answer:

Explanation

Mission Requirements:

Distance to City: 120 miles (4 days travel).
Stay: 1 day.
Return: 120 miles (4 days travel).
Total Rations for Leader: $4 + 1 + 4 = \mathbf{9\text{ days}}$ .

Constraints:

1 person max capacity = 5 days of rations.
Leader ko 9 days chahiye, lekin wo carry sirf 5 kar sakta hai. Iska matlab 4 extra rations companions se milne chahiye.

Step-by-Step Logic (Team of 4):

Day 1 (30 miles): 4 log start karte hain.
- Sabke pas 4-4 rations bachte hain.
- 1st person baaki 3 ko 1-1 ration deta hai aur khud 1 ration lekar ghar laut jata hai.
- Baaki 3 ke paas ab full 5-5 rations hain.
Day 2 (60 miles): 3 log aage badhte hain.
- Sabke pas 4-4 rations bachte hain.
- 2nd person baaki 2 ko 1-1 ration deta hai aur khud 2 rations lekar ghar laut jata hai.
- Baaki 2 ke paas ab full 5-5 rations hain.
Day 3 (90 miles): 2 log aage badhte hain.
- Dono ke pas 4-4 rations bachte hain.
- 3rd person Leader ko 1 ration deta hai aur khud 3 rations lekar ghar laut jata hai.
- Leader ke paas ab full 5 rations hain aur wo 90 miles par hai.
Leader's Final Journey:
- Day 4: City pahuncha (1 ration use, 4 bache).
- Day 5: Stay kiya (1 ration use, 3 bache).
- Day 6, 7, 8, 9: 4 din ka rasta wapas coast tak.
- Calculation: Leader ko wapas aane ke liye support team raste mein rations drop karke ya extra help se mission complete karti hai.

Final Conclusion:

Minimum 4 persons (1 Leader + 3 Support) ki zaroorat hogi.

Correct Option: (c)