QUANT but CR

Question 1

Why statement (1) Suff but not (2)

Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other’s point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination?

(1) At the time when the two trains passed, train P had averaged a speed of 70 miles per hour.
(2) Train Q averaged a speed of 55 miles per hour for the entire trip.

Answer 1

Attention to Detail: At the time when two trains passed, if we know exactly the average at point we can find the distance
(2) - Entire trip implies the unknown data point at the time two trains meet

Question 2

Alt Strate beside Algebra

A hiker walked for two days. On the second day the hiker walked 2 hours longer and at an average speed 1 mile per hour faster than he walked on the first day. If during the two days he walked a total of 64 miles and spent a total of 18 hours walking, what was his average speed on the first day?
(A) 2 mph (B) 3 mph(C) 4 mph(D) 5 mph(E) 6 mph

Answer 2

Avg Speed for whole trip: 64/18 = 3 + 10/18
The weighted average of 2 individual averages, r and r+1, must lie between these individual averages
- r < 3 + 5/9 < r+1 :only answer choice B fits.

Question 3

After 5 games, a rugby team had an average of 28 points per game. In order to increase the average by n points, how many points must be scored in a 6th game?

Answer 3

Let’s say the team scored 28 points on the 6th game as well, the mean will not change. However we need the mean (average) to increase by n points. If the mean needs to be increased by n points, then the team should have 6n extra points in addition to the existing mean: 28 + 6n

Question 4

Granted, It is true that, certainly, admittedly, despite, although

Answer 4

provide conceding contrast (author unwillingly agrees)

Question 5

but, however, even so, all the same, still, that said, nevertheless, nonetheless, yet, otherwise, despite

Answer 5

provide emphatic contrast (author assert own position)

Question 6

Likewise, In the same way

Answer 6

Point out the similarity

Question 7

Why you need to be careful about this problem?

If A = 2B, is A^4 > B^4?
(1) A^2 = 4B^2.
(2) 2A + B < A/2 + B.

Answer 7

There is no restriction of A &B, hence they can be any types of value: non-integers, pos/neg or equal to 0

Question 8

A clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton. The manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. Is this enough wool and cotton to make at least 1,000 jackets?

(1) Each wool jacket requires 4 pounds of wool, and no cotton
(2) Each cotton jacket requires 6 pounds of cotton, and no wool

Answer 8

Attention to Detail: the question is asking about how many jackets in general, and not a specific type