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Q.

A military camp has provision for 63 men at least for 25 days. How many men must be transferred to another camp so that the food lasts for 30 days?


Chapter Understanding Quadrilaterals


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a

10

b

30

c

25

d

15

answer is A.

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Detailed Solution

Concept- This question asks you to find the number of men who have been transferred to another camp to get food for 30 days. Therefore, we need to know the notion of the fact that more men eat more. In that case, the conditions specified in the question are:  25 days = meal for 63 men.
Now we don't know how many men can survive for 30 days. So, let's assume that the number of men is x  . Now the same conditions for 30 days are given as follows: 30 days = x  people's meal Then use the above two conditions and make them equivalent because the food is the same in both conditions. Therefore, the above equation becomes: Question Image Therefore, solving the above equation gives the number of men for 30 days. This is x. Question Image Therefore, the above formula shows the number of men for 30 days as 53. But now we need to get a number that will be moved to another camp. This is to ensure that the food lasts for 30 days. This is obtained by subtracting the 30-day man from the 25-day man. Therefore, the number of transferred men is given as follows: Question Image Therefore, 10 men will be transferred to another camp to secure enough food for 30 days. Therefore, the number of men transferred is 10.
Hence, option 1 is correct
 

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