Question No. 12DIRECTIONS for question 11 to 16: Select the correct alternative from the given choices.The provisions for a garrison of 240 men are sufficient to last for exactly 120 days. If after the first 40 days, a reinforcement of 60 men joins the garrison and every person decreases his daily consumption by 20%, for how many days more or less than the scheduled time will the provisions last?10 days less12 days more40 days moreNone of the above

The problem can be solved by following these steps:

1. Initially, the provisions are enough for 240 men for 120 days. This means the total provisions are enough for 240 men * 120 days = 28800 man-days.

2. After 40 days, 240 men have consumed provisions for 240 men * 40 days = 9600 man-days. So, the remaining provisions are 28800 man-days - 9600 man-days = 19200 man-days.

3. Then, 60 more men join the garrison, making the total number of men 240 men + 60 men = 300 men.

4. However, each person decreases his daily consumption by 20%. This means each person now consumes only 80% of what he used to. So, the provisions will last 20% longer. This means the remaining provisions are enough for 19200 man-days / 0.8 = 24000 man-days.

5. Therefore, the remaining provisions are enough for 24000 man-days / 300 men = 80 days.

6. Originally, the provisions were supposed to last for 120 days. But 40 days have already passed, so they were supposed to last for another 120 days - 40 days = 80 days.

7. Therefore, the provisions will last exactly as long as they were supposed to, so the answer is "None of the above".