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The remainders when 4864 and 5800 are divided by a certain number, X, are the same. What is the maximum possible number of divisors of X?
In the explanation given - it says that X will be divisible by 5800-4864
Can someone explain how we can come up with this ?

Similar triangles are confusing me, specially the naming part, for instance, if it is given, triangles ABC and DEF are similar. If angle C is equal to angle E, AB is 4.2, DE is 2.1, BC is 6.4 and DF is 2.8 then find EF and AC. In the solution they have written AB/DE=BC/EF=AC/DF. But if angle C is equal to angle E then wont it be AB/DF? Since we take corresponding sides to equal angles,

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A shopkeeper marks his good at 60% above the cost price. He allows a discount of 12 1/2%. Also he cheats 14 2/7% while purchasing and 20%at selling and gives one article free on purchase of 15 articles. Find the profit/loss in whole transaction.

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