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Frequently Asked Orkut Math Questions and Answer : Unsolved Question

(#M40002755) ORKUT QUESTION Carriage wheels Keep an EYE

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?

Asked In Orkut Inder (14 years ago)

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(#M40003568) ORKUT QUESTION Toss and dice Keep an EYE

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

Asked In Orkut Atul (14 years ago)

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(#M40000584) ORKUT QUESTION painting a window Keep an EYE

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?

Asked In Orkut Dr.Dipin Singh (14 years ago)

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(#M40002642) ORKUT QUESTION Arrange digits Keep an EYE

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?

Asked In Orkut Rohit (14 years ago)

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(#M40002643) ORKUT QUESTION Rolling coin Keep an EYE

Q. How many times does a coin rotate in rolling completely about another coin, of the same size, without slipping?

Asked In Orkut Rohit (14 years ago)

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(#M40000311) ORKUT QUESTION checking wires Keep an EYE

You're an electrician working at a mountain. There are N wires running from one side of the mountain to the other. The problem is that the wires are not labeled, so you just see N wire ends on each side of the mountain. Your job is to match these ends (say, by labeling the two ends of each
wire in the same way).

In order to figure out the matching, you can twist together wire ends, thus electrically connecting the wires. You can twist as many wire ends as you want, into as many clusters as you want, at the side of the mountain where you happen to be at the time. You can also untwist the wire ends at the side of the mountain where you're at. You are equipped with an Ohm meter, which lets you test the connectivity of any pair of wires. (Actually, it's an abstract Ohm meter, in that it only tells you whether or not two things are connected, not the exact resistance.)

You are not charged [no pun intended] for twisting, untwisting, and using the Ohm meter. You are only charged for each helicopter ride you make from one side of the mountain to the other. What is the best way to match the wires? (Oh, N>2, for there is no solution when N=2.)

Asked In Orkut Bawa (15 years ago)

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(#M40002637) ORKUT QUESTION Trains Keep an EYE

Q. Two towns are linked by a railroad. Every hour on the hour a train leaves each town for the other town. The trains all go at the same speed and every trip from one town to the other takes 5 hours. How many trains are met by one train during one trip?

Asked In Orkut Rohit (14 years ago)

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(#M40009908) ORKUT QUESTION round table Keep an EYE

Q. A group of people is sitting around a round table. They give a coffee break. When they return to the table after the break, they sit down randomly. Interestingly, they notice that the six closest persons sitting next to each one of them (three to the left, and three to the right) are completely different from the six closest persons in the previous setting.

At least how many persons should be there?

Asked In Orkut Atul (13 years ago)

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(#M40009907) ORKUT QUESTION Number game Keep an EYE

Q. You are playing a game with your friend. Your friend chooses three of the numbers among (1, 2, 3, 4, 5, 6, 7, 8, 9). You will call four numbers in each turn, and he will tell you how many of them are among the chosen numbers.

In order to guarantee to find these numbers in all cases, how many turns are needed?

Asked In Orkut Atul (13 years ago)

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(#M40002638) ORKUT QUESTION Young and old Keep an EYE

Q. The ages of Old and Young total 48. Old is twice as old as Young was when Old was half as old as Young will be when Young is three times as old as Old was when Old was three times as old as Young. How old is Old?

Asked In Orkut Rohit (14 years ago)

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