MBA Exam

In the given figure ABCD is a rectangle. P is any point
inside the rectangle. Prove that
PA2 + PC2 = PB2 + PD2.
This property is used to solve many problems . the numbers written beside PA,PB,PC,PD denote squares

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MBA Other Question
[x] = Greatest integer less than or equal to x {x} = x – [x] How many real values of x satisfy the equation 5[x] + 3{x} = 6 + x?

1) 0
2) 1
3) 2
4) >2
 Ten years ago,a family comprised four members whose average age was 4 years.Subsequently,two children were born and the average age of the family is the same today as it was ten years ago.What are the present ages of the two children,assuming that the difference in their ages is two years?

1) 10yrs,8yrs
2) 8yrs,6yrs
3) 5yrs,3yrs
4) 3yrs,1yr