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Shakuntala Devi
Quantitative Questions and Answers Discuss Quantitative and other Math related questions. Post your math doubts and get it solved by the smartest brains this side of the universe !

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26-05-2005, 12:44 PM

Quote:
Originally Posted by ramyadass
X,Y are standing at one end of the diameter of a circle with diameter 140m. C is standing at the other end.All of them start at the same time. X moves along the diameter and Y and C moves to meet each other along the circular path.

i) If they all meet at a point at the same time, find how much distance is travelled by C if the X and Y travel with the same speed.
yes, The answer is 40m.


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26-05-2005, 12:48 PM

Quote:
Originally Posted by ramyadass
X,Y are standing at one end of the diameter of a circle with diameter 140m. C is standing at the other end.All of them start at the same time. X moves along the diameter and Y and C moves to meet each other along the circular path.

ii) If X and Y travel at speeds in the ratio 2:1, and if they all meet at the same time, find after how many seconds, will they meet?

For this question, it is not possible to find the numerical value of time becouse only distance is known and the ratio is known.
V can only find one of time,distance or speed if 2 of them are given.

What i found out was that C will have to walk 100m.


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26-05-2005, 01:00 PM

Quote:
Originally Posted by ramyadass
There are 6 people in a group A,B,C,D,E,F whose test scores are as follows out of 100.(names were given in the test which I don;t remember) and the following constraints:

- All but one person scores in the group are squares of integers

-One person's score is equal to the sum of two other persons in the group.

- None got zero marks.

- some B,D,E marks are cubes of integers.

- Some D multiplied by an odd number is an odd number.

- the differance between the scores of D and F is equal to the score of one person in the group.

question given for the above case are :

i) Who got the highest score?

ii)Who got the least score out of the following three??

iii)Whose score is equal to the sum of scores of two persons in the group.

guess many answers r possible
what i deduced from it is that D=1, F=9, B/E=8/64, A and C = 4/16/25/36/49/81/100
if all r to be different.

So least score is of D and answer to 3 is F


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hi - 07-06-2005, 01:41 PM

hello,

wanted to sahre a funda:

to find no of digits in 2^38:

take log,
calculate 38*log2.
the number of digits is the charateristic of the answer +1.
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nice one - 07-06-2005, 05:03 PM

hi

nice funda... but just confirm whether this is valid for all the numbers

thanks
Quote:
Originally Posted by eagles_dare13
hello,

wanted to sahre a funda:

to find no of digits in 2^38:

take log,
calculate 38*log2.
the number of digits is the charateristic of the answer +1.


:whatthat: If you think you can, you will.

If you think you can't, you are right !!!

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07-06-2005, 05:41 PM

Quote:
Originally Posted by santosh_pawar
hi

nice funda... but just confirm whether this is valid for all the numbers

thanks
Yes it is valid for all the numbers.
To extend it,
Does any1 knows how to find the sum of digits of a number?

e.g. to find the sum of digits of 2^38????


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10-06-2005, 07:25 PM

Quote:
Originally Posted by karthikeya
I am not able to get the solution of this problem . Someone please expain it to me

Fifty minutes ago if it was four times as many minutespast three o'clock, how many minutes is it to six o'clock?


regards
karthik
from 3:00 to 6:00
180 mins
he says 50 min ago so the time legt is 180 - 50
and
then 4x + x = 180 -50
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Sep 11 Infosys test - 06-09-2005, 05:20 PM

Hello all

I have Infy test this Sunday and I am unable to solve these problems from Shakuntala Devi-I (Puzzles to Puzzle you). Please solve them



1.When my uncle in Madura died recently, he left a will, instructing his executors to divide his estate of Rs.1, 920,000 in this manner: Every son should receive three times as much as a daughter, and that every daughter should get twice as much as their mother.What was my aunt's share? (Prob No.25)



Ans: Rs.49200 10/13

__________________

2.We have a circular round table made of marble, which had come down to us as a family heirloom. We also have some beautiful bone-china saucers that I recently brought from Japan. Diameter of our tabletop is fifteen times the diameter of our saucers, which are also circular. We would like to place the saucers on the table so that they neither overlap each other nor the edge of the table. How many can we place in this manner.? (Prob No: 26)



Ans: 187

__________________



3.A friend of mine in Bangalore 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? (Prob No: 30)



Ans: Forewheel: 8ft, hind-wheel is 12ft

__________________

4.One day I decided to walk all the way from Bangalore to Tumkur. I started exactly at noon. And someone I know in Tumkur decided to walk all the way to Bangalore from Tumkur and she started exactly at 2 P.M., on the same day. We meet on the Bangalore-Tumkur Road at five past four, and we both reached our destination at exactly the same time. At what time did we both arrive? (Prob No: 37)



Ans: 7 P.M.,.

__________________



5.A cement block balances evenly on the scales with three quarters of a pound and three quarters of a block. What is the weight of the whole block? (Prob: 49)



Ans: 3 lbs.

__________________



6.Some year's back, I was travelling by a cargo ship from New Zealand to Tahiti. I was curious to look around the ship one day, and in the boiler room I asked a man how old the ship was. He smiled and replied in this way:"The ship is twice as old as its boiler was when the ship was as old as the boiler is now. And the combined age of the ship and the boiler is thirty years. Can you figure out what is the age of the ship and the boiler? (Prob No: 51)



Ans: Boiler: 90/7 yr. & ship- 120 yr.

____________________

7.A five feet long staff casts a shadow 2 feet long. Can you find the height of a steeple whose shadow at the same hour is 120 ft. long? (Prob No.: 109)



Ans: 200 feet

____________________



8.At a fair, I bought 6 Pineapples and two jackfruits for Rs.15. If I could have bought 4 more pineapples for Rs.14 than jackfruits for Rs.9. What would be the price of each? (Prob No.: 123)



Ans: Pineapples cost Rs.175 a piece and jackfruits Rs.2.25

___________________



9.In my bungalow in Bangalore I have a beautiful rose garden. The four sides of the garden are known to be 20,16,12 and 10 rods. And it is also known that it has the greatest possible area for those sides. Can you find the area? (Prob No.: 141)



Ans: 194.4

__________________



10.Two trains start at the same time, one from Bangalore to Mysore and the other from Mysore to Bangalore. If they arrive at their destinations one-hour and four hours respectively after passing one another, how much faster is one train running than the other? (Prob No.: 14



Ans: One train was running just twice as fast as the other was.

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Shakuntala Devi - 06-09-2005, 06:21 PM

All the best to those of you, who will be appearing for the Infy exam, (11th sep).

By the way, why do you need this thread? I gues the answers to the Shakuntala devi puzzle is given behind the book!

If you post it, some one will post the solutuon, which will be similar an answer given behind the book!!!!

Gawk!


Anyways, party guys!!!!!
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07-09-2005, 05:44 PM

The explanation given inShakuntala Devi is not clear. Therefore I posted those questions here.

And for some questions the answer is given directly without explaining the steps.
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