Question : There are 300 men in a group. They have food for 30 days. After 10 days, 100 more men join the group. The remaining food will last for how many days?
Option 1: 20
Option 2: 10
Option 3: 15
Option 4: 12
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Correct Answer: 15
Solution : There are 300 men in a group. They have food for 30 days. After 10 days, 100 more men join the group. Total number of men = (300 + 100) = 400 Remaining number of days = (30 – 10) = 20 So, 300 men had food for 20 days ⇒ 1 man had food for (20 × 300) days ⇒ 400 men have food for ($\frac{20× 300}{400}$) = 15 days Hence, the correct answer is 15.
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Question : A work can be completed by 20 men in 50 days. 30 more men join them after 10 days of work. How many days will be saved in the completion of the work?
Option 1: 18 days
Option 2: 20 days
Option 3: 24 days
Option 4: 28 days
Question : A camp of soldiers has food for 200 days. After 20 days, 100 more soldiers join the camp and the food now can last for 80 days. What was the initial number of soldiers in the camp?
Option 1: 140
Option 2: 100
Option 3: 120
Option 4: 80
Question : At a refugee camp, the food supplies were enough to feed 300 refugees for 45 days. But 60 more refugees joined after 15 days. For how many days would the rest of the food supplies last?
Option 1: 23 days
Option 2: 24 days
Option 3: 22 days
Option 4: 25 days
Question : 18 men can do a piece of work in 20 days. After working for 8 days, they get a notice to complete the work 4 days earlier than originally scheduled. How many more men will be required to be hired to complete the work as per the new schedule?
Option 1: 9
Option 2: 12
Option 3: 8
Option 4: 15
Question : A work can be completed by N men in 15 days. 5 men leave the work after 3 days. The remaining work was completed in 18 days. What is the value of N?
Option 1: 18
Option 2: 21
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