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90 persons consume 810 kg of food in 27 days. In how many days will 60…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET June 2024 Re-Exam (22.08.2024) Shift-I
90 persons consume 810 kg of food in 27 days. In how many days will 60 persons consume 300 kg of food?
A12 days
B13 days
C15 days ✓ Correct
D18 days
Correct answer: (C) 15 days — The 60 persons will consume 300 kg in 15 days, so that is the answer.
Explanation
The 60 persons will consume 300 kg in 15 days, so that is the answer.
For 90 persons, 810 kg over 27 days means each person eats 810 over 90 times 27 per day.
That is one third of a kg per person per day.
So 60 persons eat 60 times one third, which is 20 kg per day.
The days needed for 300 kg are 300 divided by 20.
That gives 15 days.

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