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3)
6 countries, 75 representative - no two countries send same number of representative. country A send second greatest number of representatives, did A sent >=10
st 1) one of the six sent 41
rest 5 sent 34
if A sent 9 or less, the other 4 total would be 25 or more which could be the sum of 4 numbers(8,7,6,4). Not sufficient
st 2) A sent <=12. Not sufficient

combining also we cannot say for sure if country A sent >=10

E
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4)
a, n are intergers
a>1, n >1
1*2*3*4*5*6*7*8 = x * a^n
a??

st 1)
a^n = 64 = 2^6=4^3 = 8^2
Not sufficient

st 2)
n=6
a has to be 2

B
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chix475ntu
q1)
need to find out s=3r+2??
st 1) either 3r+2-s =0 or 4r+9-s = 0. not sufficient
st 2) either 4r-6-s=0 or 3r+2-s=0. not sufficient
combining 3r+s-s=0

C

Thanks, but I am still a bit confused on the combining explanation. I see that s= 3r +2 is both 1) and 2), but shouldn't that be sufficient in each statement alone? I feel like i am a bit lost on how to combine these two statements to prove the validity of the initial statement s= 3r + 2.
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chix475ntu
4)
a, n are intergers
a>1, n >1
1*2*3*4*5*6*7*8 = x * a^n
a??

st 1)
a^n = 64 = 2^6=4^3 = 8^2
Not sufficient

st 2)
n=6
a has to be 2

B


On statement 2 alone, how would you know a=2? by looking at the quation 8! = x * a^6

is it because if you break down 8!, we get 2 x 2 x 2 x 7 x 3 x 2 x 5 x 2 x 2 x 3 x 2 ? There are seven 2's in that, so the x takes care of the remaining 2 x 7 x 5 x 3 x3, etc?
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chix475ntu
q1)
need to find out s=3r+2??
st 1) either 3r+2-s =0 or 4r+9-s = 0. not sufficient
st 2) either 4r-6-s=0 or 3r+2-s=0. not sufficient
combining 3r+s-s=0

C

Thanks, but I am still a bit confused on the combining explanation. I see that s= 3r +2 is both 1) and 2), but shouldn't that be sufficient in each statement alone? I feel like i am a bit lost on how to combine these two statements to prove the validity of the initial statement s= 3r + 2.
Its either or in the case of the above. For ex: take an expression (x-1) * (x-2) = 0. For what value of x does this expression hold good? the values of x are either 1 or 2. To find out the ONLY value of x, we might need another expression say (x-1) * (x-3) = 0. For both the expressions to be true x has to be 1.

HTH
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chix475ntu
4)
a, n are intergers
a>1, n >1
1*2*3*4*5*6*7*8 = x * a^n
a??

st 1)
a^n = 64 = 2^6=4^3 = 8^2
Not sufficient

st 2)
n=6
a has to be 2

B


On statement 2 alone, how would you know a=2? by looking at the quation 8! = x * a^6

is it because if you break down 8!, we get 2 x 2 x 2 x 7 x 3 x 2 x 5 x 2 x 2 x 3 x 2 ? There are seven 2's in that, so the x takes care of the remaining 2 x 7 x 5 x 3 x3, etc?

you could express the term in many ways such as x * 2^n, y * 3^m etc .. but to have a power of 6, the value of a has to be 2. You cannot express that term with x * 3^6 or y * 4^6 etc.
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chix475ntu
burnttwinky
chix475ntu
q1)
need to find out s=3r+2??
st 1) either 3r+2-s =0 or 4r+9-s = 0. not sufficient
st 2) either 4r-6-s=0 or 3r+2-s=0. not sufficient
combining 3r+s-s=0

C

Thanks, but I am still a bit confused on the combining explanation. I see that s= 3r +2 is both 1) and 2), but shouldn't that be sufficient in each statement alone? I feel like i am a bit lost on how to combine these two statements to prove the validity of the initial statement s= 3r + 2.
Its either or in the case of the above. For ex: take an expression (x-1) * (x-2) = 0. For what value of x does this expression hold good? the values of x are either 1 or 2. To find out the ONLY value of x, we might need another expression say (x-1) * (x-3) = 0. For both the expressions to be true x has to be 1.

HTH

Good explanation. This makes a lot more sense.
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1) a^n =64

the possible values are

2^6=64
4^3=64
8^2=64

so insufficient a can be either 2,4,or3

2)n=6

if n is 6 then in 8! should be a multiple of a^6

only a=2 can satisfy this condition so clearly a is 2

so ans is B
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chix475ntu
3)
6 countries, 75 representative - no two countries send same number of representative. country A send second greatest number of representatives, did A sent >=10
st 1) one of the six sent 41
rest 5 sent 34
if A sent 9 or less, the other 4 total would be 25 or more which could be the sum of 4 numbers(8,7,6,4). Not sufficient
st 2) A sent =10

E

Could you explain this a little more in detail?



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