MBA Exam

BOXES NO 1 2 3 4 5 ARE KEPT IN A ROW.AND THEY ARE TO BE FILLED EITHER WITH A RED OR A BLUE BALL....ALL BALLS ARE IDENTICAL.HOW MANY DIFFERENT ARRANGEMENTS ARE POSSIBLE SUCH THAT NO TWO ADJACENT BOXES HAVE BLUE BALLS.....CAT 1995.......DONT KNOW OA

1) 8
2) 10
3) 15
4) 22

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MBA Other Question

The sum of three distinct prime numbers ,all of which are less than 100,is 134.The sum of the smallest and the largest of the three numbers is the square of a single digit number.What is the value that should be added to the middle number so that the resultant number is a perfect cube?(Try to slove it within 1.5 minutes..)

1) 15
2) 21
3) 33
4) 11
A and B start swimming simultaneously from two points P and Q respectively, on a river towards each other. A crosses a floating cork at a point S and B crosses the floating cork at a point T which is at a distance of 8 km from point S. A and B cross each other at a distance of 2 km from T. It is given that the direction of flow of the river is from P to Q and in still water, the ratio of speeds of A and B is 3 : 1. P, S, T and Q ( in that order) are on the same straight line and assume that A, B and the floating cork move along that line.Find the ratio of the upstream speed of A to the downstream speed of B.

1) 9:7
2) 6:5
3) 5:4
4) Cannot be determined