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Frequently Asked Orkut Math Questions and Answer Page 3

(#M40000242) ORKUT QUESTION Tunnel and trains Keep an EYE

The railroad bridge across the Futile Mire has a northbound track and a southbound track. The tracks are parallel and exactly 2 miles long. Anyone attempting to cross the bridge on foot must stay between the rails on the chosen track. It is not possible to step outside the rails or to jump to the other track.
One day Tom and Sue try to walk across the bridge, Tom heading north on the northbound track, and Sue heading south on the southbound track. The athletic Sue can run twice as fast as the portly Tom. All trains run at the same constant speed.
When Tom and Sue are 1 mile apart they both hear trains whistles behind them. Trains are approaching on both tracks. Tom and Sue can just escape by running to either end of the bridge. How far is each train from the tunnel?

Asked In Orkut Dolly (15 years ago)

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(#M40000327) ORKUT QUESTION Moving truck Keep an EYE

Q. In the middle of a vast prairie, a truck is stationed at the intersection of two perpendicular straight highways.

The truck travels at 50 miles per hour along the highways and at 14 miles per hour across the prairie.

Consider the set of points that can be reached by the firetruck within six minutes. The area of this region is m/n square miles, where m and n are relatively prime positive integers.

Find (m + n)?

Asked In Orkut Dolly (15 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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(#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 (12 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 (13 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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(#M40000310) ORKUT QUESTION Making garlands Keep an EYE

There are 12 flowers of same colour and 3 flowers of another colour. How many different garlands are possible.

Asked In Orkut Bawa (15 years ago)

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