MBA Exam

For a trapezium, S1 denotes the sum of the squares of the sides and S2 denotes the sum of the squares of the diagonals. S1 - S2 = 576. If the longer parallel side is 50 cm, the shorter parallel side is ?

1) 26
2) 22
3) 18
4) 30

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MBA Other Question

How many pairs of integers (x,y) exist such that x^2+4y^2<=100 ?

1) 95
2) 90
3) 159
4) 180
Akash, Bhanu and Sam work on a project. After they complete 1/4th of the project, Sam takes a break. For 7 days only Akash and Bhanu work on the project. After that Sam relieves both of them. He completes the project in 5 days. Bhanu works 50% faster than Akash while Sam alone can finish the entire project in 20 days, How long would Bhanu take to finish the entire project?

1) 25 days
2) 23 1/3 days
3) 21 days
4) 22 1/3 days