Original Question wrote:
If r+s+p > 1 , Is P > 1 ?
1) P > r + s -1
2) 1-(r + s) > 0
The numbers you chose, r+s=.3 and p = .8 do work for the question stem. .3 + .8 = 1.1 which is > 1. Don't forget that when you move to the statements, you have to find values that work for both the inequality in the statement as well as the inequality in the question stem.
Here, is r+s = .3 and p = .8, it doesn't work for Statement 1). Substituting the numbers you chose in for the inequality provided in Statement 1).
P > (r+s)-1
.8 > .3 - 1
.8 > -.7 - this is true, but it is not enough to answer the question. You might think "Ok, P can be .8, which is less than 1 so I can answer the question, but that's not how we answer DS questions.
We must continue and find a number where P < 1 and then a number for r+s, use it in this inequality, make sure this inequaltiy is true, then use those same values for the inequality in the stem. If that is true also, and P < 1, then there are too many options for P so we cannot say for certain that P MUST BE greater than 1.
In the question stem, with addition of 3 variables, there is an infinite number of possibilties of values that will make r+s+p > 1. The key is with the restrictions in the statements. If you restrict the value of P so that the value of P > r+s-1, AND r+s+p>1 still, can you find values of P that are both greater than 1 and less than 1 that satisfy both inequalities. The reason #1 statement is insufficient is because you CAN find values for r,s and p that satisfy both statements, and in the values that solve both, P can be either greater than 1 or less than 1.
When you approach some question like this ask yourself "In the sets of numbers that satisfy both statement #1 and the stem (r+s+p>1), is P required to be greater than 1?" If you find any set of numbers for r, s, and p that include p being less than 1, that statement is insufficient.
maulikmajithia wrote:
@ above
but the 2nd option does satisfy the values i am assuming for
r + s = .3
and p = .8
in that case it is insufficient right ?
u think i am taking wrong values for r + s and p ?