MBA Exam

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

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MBA Other Question

Based on the information given below and answer the following questions.An amateur geometrician draws a straight line of length 16 cm. Using this line as a diagonal; he constructs a square by drawing four more lines. Again, using the side of the square as a diagonal he draws another square. He continues in this manner. He would stop drawing squares once the area of the square becomes less than one-thousandth of the area of the first squareHow many lines would he draw?

1) 40
2) 41
3) 45
4) 47
5) None of these
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