MBA Exam

The lines y = 3x and x + y = 40 and the x axis bound a triangular area. Find the total number of points on or inside this triangle with integral coordinates.

1) 600
2) 641
3) 655
4) 662

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MBA Other Question

Which among the following 3 statements is/are true?I. The minimum value of (x+5)(x+2)/(x+1) is 9 for x > -1 II. The maximum value of (100n)/n! occurs at n = 100 only III. For any real numbers x, y > 1, x2/(y - 1) + y2/(x - 1) >= 8

1) Only II
2) Only III
3) Both I and II
4) None of these
" There are six gates in the park equidistance from each other and no more than two gets are on one straight line. All are interconnect from each other by straight lines. Find the sum of the length of roads required to connect all gates, given distance between two gates is 60m? "In the above question, what is area of the field carved out by these roads, which is not touching side of the field? [taking area of road negligible]

1) 1800√3
2) 2700
3) 3000
4) 1800