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27 Sep 2009, 05:27
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67% (01:38) correct
33%
(02:26)
wrong
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K is sum of all numbers in the form 1/n.
n is integer between 101 and 150 inclusively
K is gonna be:
A/ 0<K<1/3
B/ 1/3<K<1/2
C/ 1/2<K<2/3
D/ 2/3<K<1
E/ 1<K<3/2
n is integer between 101 and 150 inclusively
K is gonna be:
A/ 0<K<1/3
B/ 1/3<K<1/2
C/ 1/2<K<2/3
D/ 2/3<K<1
E/ 1<K<3/2
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27 Sep 2009, 12:25
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K=1/101+1/102....+1/150 there are 50 numbers.
say M=1/101+1/101+..............+1/101 (50 numbers).
say N=1/150+1/150+..............+1/150 (50 numbers).
it is easily seen that
M>K>N
M=50/101, N=50/150
M<1/2, N=1/3
i.e.
1/2>K>1/3
B
say M=1/101+1/101+..............+1/101 (50 numbers).
say N=1/150+1/150+..............+1/150 (50 numbers).
it is easily seen that
M>K>N
M=50/101, N=50/150
M<1/2, N=1/3
i.e.
1/2>K>1/3
B
