Quote:
Originally Posted by sriny_97
In a country, the currency consists of a set of notes of different denominations.if the sum of all denominations is 63 units of currency, then what is the minimum number of denominations that can be there so that all the transactions can be made (in integers)?
a.3
b.5
c.6
d.9
e.cant be determined
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A retailer has n stones by which he can measure(weigh) all quantities from 1kg to 121 kg(in integers only) by keeping these stones on either side of the balance.what is the minimum value of n?
a.3
b.4
c.5
d.11
e.none of the above
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the value of 1+(2/3)+(4/9)+(6/27)+(8/81)+(10/243)+.....is
a..2/3
b..5/2
c..19/45
d..81/27
e..none of the above
plz explain methods used...thq
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(1) The denominations will follow powers of two.......
So 1 , 2 , 4 , 8 , 16 , 32 =
6 in number.......
(2) The weight of stones will follow powers of three.......
So 1 , 3 , 9 , 27 , 81 =
5 in number.......
(3) It is an AGP.....
Let
S = 1+(2/3)+(4/9)+(6/27)+(8/81)+(10/243)+.....
3S = 3 + 2 + 4/3 + 6/9 + 8/27..........
Subtracting..........
2S = 4 + 2/3 + 2/9 + 2/27 + 2/81...........
S = 5/2