MBA Exam

If a and b are the roots of the equation 2x^2 - 3x – 2 = 0. Find the value of (a^3+b^3 ) without finding the roots of the equation. 

1) 8/3
2) 64/3
3) 63/8
4) 16

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MBA Other Question

If the sum of 101 distinct terms in arithmetic progression is zero, in how many ways can three of these terms be selected such that their sum becomes zero?

1) 50
2) 1200
3) 1250
4) 650
The number of polynomials of the form y^3 + ay^2 + b^y + c which are divisible by y^2 + 1 and where a, b and c belong to {1, 2, 3, 4, 5, 6}, is

1) 6
2) 7
3) 1
4) 36