I think 1) is more of a strengthen but not a necessary assumption, because it depends on 2) to be true.

IMO B. The assumption is that farmers will keep increasing production because the guaranteed price is higher than the cost of production. The assumption is based on the price level of the grain. The stem provides a second evidence that production will be cut. Therefore the farmers need to to negotia...

I agree that it'd be E, because statement 1 says 2*sqrt(x) is an integer. Let 2*sqrt(x)=3, so sqrt(x)=1.5 which is not an integer. However if x is a perfect square then sqrt(x) is an integer.

1) For this statement we need to know that an odd number + another odd number = an even number, and an odd number + an even number = an odd number. If n = 6, that means there are 3 pairs of an odd and an even number. When we sum up each of the three pairs, we have 3 odd numbers. When we sum up the 3...

The answer is D.

Let d be the total distance driven. So the total time is t = xd/60 + (1-x)d/50
And the average speed is d/t

This would simplify to 3000/(60-10x).

nC2=n!/((n-2)!2!)=190
n(n-1)=380
n=20

I agree that the answer should be E. Two sequences that apply to both conditions are 6-18 and 42-54, in which the former has 5 primes and the latter 4. So that would negate the OA answer C.

It's intuitive that either alone is not sufficient, so lets think about both statements together. Lets label some angles here: Let angles QRS=y, RQS=QSR=a, STU=z, UST=TUS=b. Now, y+z=90 because triangle RPT is a right triangle. We observe that y=180-2a and z=180-2b. So 180-2a+180-2b=90, which simpli...