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mani agrawal
Joined: 21 Feb 2006
Posts: 1
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 Posted: Tue Feb 21, 2006 6:53 pm Post subject: probs from shakuntala devi which i'm not getting |
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kindly help me in solving these probs:-
1) one day mammu set a very interesting prob to me. she pushed a large circular table into a corner of the room,so that it touched both walls and spilled a spot of ink on the extreme edge and said- look at that spot, it is exactly 8 in. from one wall and 9 in. from the other. tell me the diameter of the table without measuring it?
2) there r 2 candles of diff. width but same length. one burns for 4 hr. and other for 5 hr.,both the candles r lit at the same time. after some time both of them was put off. what remained of one candle was exactly 4 times the length of what was left of other. can u find for how long those two candles were burning? |
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CZ@@@H@@@R
Serious about CAT
Joined: 14 Jan 2006
Posts: 64
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| Posted: Sat Feb 25, 2006 2:00 pm Post subject: Re: probs from shakuntala devi which i'm not getting |
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| mani agrawal wrote: |
2) there r 2 candles of diff. width but same length. one burns for 4 hr. and other for 5 hr.,both the candles r lit at the same time. after some time both of them was put off. what remained of one candle was exactly 4 times the length of what was left of other. can u find for how long those two candles were burning? |
(Ans) 15/4 hours.
Ratio of Lengths of Thicker to Thinner = R = (1-(t/5))/(1-(t/4))=4
Hence 15/4 hours
Let 16L be initial length. At t = 15/4 hour, Thicker : 4L and Thinner = L |
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shaji
Serious about CAT
Joined: 22 May 2005
Posts: 71
Location: UK
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| Posted: Sun Feb 26, 2006 9:43 pm Post subject: Re: probs from shakuntala devi which i'm not getting |
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| mani agrawal wrote: | kindly help me in solving these probs:-
1) one day mammu set a very interesting prob to me. she pushed a large circular table into a corner of the room,so that it touched both walls and spilled a spot of ink on the extreme edge and said- look at that spot, it is exactly 8 in. from one wall and 9 in. from the other. tell me the diameter of the table without measuring it?
2) there r 2 candles of diff. width but same length. one burns for 4 hr. and other for 5 hr.,both the candles r lit at the same time. after some time both of them was put off. what remained of one candle was exactly 4 times the length of what was left of other. can u find for how long those two candles were burning? |
Hi;
Please check with mamu, whether the diameter of the table is 58 inches.
Regards;
Shaji. |
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banter
Joined: 19 Mar 2006
Posts: 18
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| Posted: Tue Mar 21, 2006 2:05 am Post subject: Re: probs from shakuntala devi which i'm not getting |
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[quote="shaji"] | mani agrawal wrote: | kindly help me in solving these probs:-
1) one day mammu set a very interesting prob to me. she pushed a large circular table into a corner of the room,so that it touched both walls and spilled a spot of ink on the extreme edge and said- look at that spot, it is exactly 8 in. from one wall and 9 in. from the other. tell me the diameter of the table without measuring it?
Hi;
Please check with mamu, whether the diameter of the table is 58 inches.
Regards;
Shaji. |
Diameter can be either 10 or 58 |
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!Vallex
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| Posted: Sat Mar 25, 2006 12:52 pm Post subject: |
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I think you are right guys!  |
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vineet meena
Joined: 26 Mar 2006
Posts: 2
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| Posted: Sun Mar 26, 2006 8:32 pm Post subject: |
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| yes after solving quadratic we get 10 and 58 as solution.......but i think 58 is not possible as the radius should be less than both 8 and 9.so 10 should be the answer |
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