GMAT in 2 days, couple of questions

Lots to type

Let me try to handle one question at a time. Here goes the first one.

Ques 1 : Jar containing red, blue and white marbels

Solution 1 -

The ques :[highlight]Is the prob of getting red > prob of getting white OR is the no of red> no of white[/highlight]

For sufficiency : the ans should be ALWAYS YES or ALWAYS NO
For Insufficiency – SOMETIMES YES SOMETIMES NO

Lets assume 2 numbers -

Case 1:w>r (which wud mean the chances of picking white will be more)
red=5; blue=5; white=10

Case 2: r>w (which wud mean chances of picking red will be more)
red=10 ;blue =5, white =5


Statement 1: (Refer to the highlight while ans the ques)
substitute the values
from case 1 – inequality doesn't hold true => thus red has to be more than white and ans to the ques is YES
from case 2 – inequality holds true => thus red has to be more than white and ans to the ques is YES

Since ALWAYS YES → statement 1 is sufficient; choice B, C, E gone

Statement 2:(Refer to the highlight while ans the ques)
substitute the values
from case 1 – inequality doesn't hold true => thus red has to be more than white and ans to the ques is YES
from case 2 – inequality holds true => thus red has to be less than white and ans to the ques is NO

SOMETIMES YES SOMETIMES NO => Insufficient

Ans :A

Confirm : If you try to plug with equal numbers of white and red in Statement 1, it will not hold true proving that it cant be equal either and thus prob cant be same for both.