Infosys Placement Papers


Kochin, August 2006

1. Two people are playing with a pair of dies. Instead of numbers, the dies have different colors on their sides. The first person wins if the same color appears on both the dies and the second person wins if the colors are different. The odds of their winning are equal. If the first dice has 5 red sides and 1 blue side, find the color(s) on the second one.
2. A car is traveling at a uniform speed. The driver sees a milestone showing a 2-digit number. After traveling for an hour the driver sees another milestone with the same digits in reverse order. After another hour the driver sees another milestone containing the same two digits separated by a zero. What is the average speed of the driver?
3. There are 20 poles each with a constant distance between them. A car takes 24 second to reach the 12th pole. How much will it take to reach the last pole.
4. Mohan has a son and 2 daughters.The product of the ages of his children is 72. The sum of their ages form his house number.His son is the eldest of three. Can you tell the ages of all the three?
5. There is a safe with a 5 digit number as the key.The 4th digit is 4 greater than second digit, while 3rd digit is 3 less than 2nd digit. The 1st digit is thrice the last digit.There are 3 pairs whose sum is 11.Find the number.
6. Jhon's family is such that each boy in this family has as many sisters as brothers. And each girl has twice as many brothers as sisters. Find the number of boys and number of girls in Jhon's family.
7. A wall clock loses 10 minutes every 1 hour. In 1 hour as per the wall clock , a table clock gets 10 minutes ahead of it. In 1 hour as per the table clock an alarm clock falls 5 minutes behind it. In 1 hour as per the alarm clock, a wristwatch gets 5 minutes ahead it. At noon, all 4 timepieces were set correctly. To the nearest minutes, what time will the wrist show when the correct time is 6 p.m. on the same day ?
8. Two trains of length 1/6 miles are moving toward each other with a speed of 60 miles per hour.In how much time the two locomotives cross each other.

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