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25 Dec 2007, 17:53
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Can someone help me with these 4 questions PS and DS -- they are from GMATPREP 1. Thanks a lot.
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25 Dec 2007, 19:10
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king06
First one is really tough with the time limitation of 2 minutes;
The terms of the sequence ( which is Geometric Progression ) are:
[ 1/2 + 1/2^3 + 1/2^5 + 1/2^7 + 1/2^9 ] - [ 1/2^2 + 1/2^4 + 1/2^6 + 1/2^8 + 1/2^10 ]
By this time I've already spent at least a minute ( and if I am becoming nervous, it might have been a 5-10 seconds more than a minute )....and phew!!! I still don't know the answer!
From First Bracket, it is clear that the sum is a "little more" than ( 1/2 = 0.5 )
From the Second bracket, it is clear that the sum is a "little more" than ( 1/2^2 = 0.25 )
(1/2 - 1/2^2 = 1/4 = 0.25 ) Actual result will be a little more than 1/4
Therefore then answer choice is between 1/4 and 1/2.
Of course sum is always less than 1/2, therefore you can easily eliminate the choice #3.
Hmm... I am not sure if there any other shorter, faster, quicker and logical approach to this GMAT question!!
Ne'er try to solve the GP using the Sum formula for Progression, you'll end up wasting more than 5 minutes.
Anyone with better approach, please help.
****************************
B : 12
Y: y
Total: (12+y)
P(B) 36
y > 18
Thus, 19 from the answer choice is the least value for yellow balls.
*******************************
Let the number of chairs ina row be "n"
Then total number of rows = "n-1"
From ( i )
n(n-1) = 72
(n-9)(n+8) = 0
n = 9
Sufficient
From (ii)
n + (n-1) = 17
n = 9
Sufficient
Answer should be "D".
*****************************
10 < n < 99
n belongs to { 11,12,13,14,15,...96,97,98}
From ( i ):
1 + 1 = 2 Prime and less than 80
9 + 8 = 17 Prime and greater than 80
Insufficient
From ( ii ):
Both digits are prime,
So numbers starting with 1 can't belong to this set.
22, 23, 25....etc.
But at the same time, none of the numbers beloging to the series starting with 9 or 8 can below to this.
Thus number has to be smaller than 80.
"B" is sufficient.
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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