Q. My room has a square window of 4 feet across and 4 feet down. I decided to get only half the area of the window painted. Even after the painting, I found that the clear part of the window still remained a square and still measured 4 feet from top to bottom and 4 feet from side to side. How is it possible?
Q. Arrange the ten digits 0 to 9 in three arithmetical sums, using three of the four operations of addition, subtraction, multiplication, and division, and using no signs except the ordinary ones implying those operations. Here is an example to make it quite clear:
3 + 4 = 7
9 - 8 = 1
5 X 6 = 30
But, the example is not correct, as the number 2 has not been used and the number 3 has been used twice. Can you come up with a valid solution?
Q. A man started to walk from Town A to Town B at 1200 hrs, and his friend started at two P.M. on the same day to walk from B to A. They met on the road at five minutes past four o'clock, and each man reached his destination at exactly the same time. Can you tell at what time they both arrived at their destination?
Q. In a game, the 1st person tosses a coin. If the outcome is head, he throws a dice and the result is recorded as his score and he gets one more chance to toss the coin. If the outcome is tail then the next person gets a chance to toss the coin. What is the probability that a person scores 35 points after 6 tosses in this game?
Option
a) (1/32)(1/6)^5
b) (1/32)(1/6)^6
c) (1/64) (1/6)^6
d) (1/64) (1/6)^5
Q. My friend owns a horse-driven carriage. It was found that the fore wheels of the carriage make four more revolutions than the hind wheel in going 96 feet. However, it was also found that if the circumference of the fore wheel was 3/2 as great and of the hind wheel 4/3 as great, then the fore wheel would make only 2 revolutions more than hind wheel in going the same distance of 96 feet. Can you find the circumference of each wheel?
Q. A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in two-thirds of the time. How many workers were there in the group?
Q. A man has two bags with 10 mangoes each. On his way home he needs to cross five gates which are guarded by watchmen. Every gate the man crosses, that gate's watchmen will take out two mangoes from each bag with mangoes. Can the man take home any mangoes after crossing all five gates. If yes how many and how?