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Orkut Math Questions and Answer Page 2

(#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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(#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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(#M40002113) ORKUT QUESTION mangoes Keep an EYE

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?

Asked In Orkut Sahil (14 years ago)

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(#M40002112) ORKUT QUESTION next number Keep an EYE

Q. Find next no in series.

10, 67, 130, 223, ....

Asked In Orkut Sahil (14 years ago)

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(#M40002111) ORKUT QUESTION workers Keep an EYE

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 From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in two-thirds of the time.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?

Asked In Orkut Sahil (14 years ago)

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(#M40002110) ORKUT QUESTION series puzzle Keep an EYE

Q. What is the next number of the following sequence.

123, 135, 148, 1512, 1663, 17129, 188311,____

Asked In Orkut Sahil (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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(#M40000583) ORKUT QUESTION Values of numbers Keep an EYE

Q. Four whole numbers - a, b, c and d.
such that -
1. ( a + b + c + d ) is a perfect square
2. ( a + b ), ( a + c ), ( a + d ), ( b + c ) , ( b + d ) and ( c + d ) are also each a perfect square. What are the smallest values for a, b, c and d?

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

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(#M40000312) ORKUT QUESTION rectangles Keep an EYE

Q. There is a grid of 20 squares by 10 squares each having unit edge length. How many rectangles are there having area 'x' sq units,where x is an odd integer?

Note that square is a rectangle.

Solution

total number of rectangles including squares of odd area
= (20+18+16+14+12+10+8+6+4+2)(10+8+6+4+2) = 110*30 = 3300

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Asked In Orkut Mayur (15 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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