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17 Jun 2006, 02:45
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Please explain your choice. I have the OA and the OE, but my answer is different.
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17 Jun 2006, 07:23
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deowl
from 1, if x = 2, its number of dividers (2= 1 and 2) is smaller than 2 sqrt(x)-1, which is 1.41. if x = 32, yes.
from 2, if x is a prime, again its not.
togather is also not. so E.
17 Jun 2006, 08:22
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Yep - same method. Should be E.
#1. if x=1, f(x)=1 = 1 (nbr of divisors)
if x=2, f(x)=1.82 < 2 (nbr of divisors)
if x=15, f(x)=6.7 > 4 (nbr of divisors)
Not sufficient
#2. if x=97, f(x)=18.7 > 2 (nbr of divisors); and taking
if x=2, f(x)=1.82 < 2 (nbr of divisors)
Not sufficient
f(x)=2*sqrt(x) - 1
Even if we combine, the effect is the same as #2. None of the prime numbers are squares of any integer anyway. Not sufficient.
#1. if x=1, f(x)=1 = 1 (nbr of divisors)
if x=2, f(x)=1.82 < 2 (nbr of divisors)
if x=15, f(x)=6.7 > 4 (nbr of divisors)
Not sufficient
#2. if x=97, f(x)=18.7 > 2 (nbr of divisors); and taking
if x=2, f(x)=1.82 < 2 (nbr of divisors)
Not sufficient
f(x)=2*sqrt(x) - 1
Even if we combine, the effect is the same as #2. None of the prime numbers are squares of any integer anyway. Not sufficient. 
