MBA Exam

Let [n] denotes greatest integer less than or equal to n. The number of real solutions to the equation 4n2 - 40[n] + 51 = 0 are

1) 4
2) None of these
3) 2
4) 3

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MBA Other Question

Any simpler process other than proceeding through ans.

1) 1
2) 2
3) 3
4) 4
5) 5
Determine the value(s) of ‘a’ for which the point (a, a2) lies inside the triangle formed by the lines:2x + 3y = 1, x + 2y = 3 and 5x – 6y = 1

1) (–3, –1) U (1/2, 1)
2) (–∞ , 1/3) U (1/2, ∞ )
3) (–3/2, –1) U (1/2, 1)
4) (–∞ , 1) U (1/3, 6)
5) None of the above