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Q8:
The points R, T, and U lie on a circle that has radius 4. If the length of arc RTU is 4/3π, what is the length of line segment RU?
A. 34
B. 38
C. 3
D. 4
E. 6

OA is (D)

Q17:
If x, y, and k are positive numbers such that 10x/(x+y) + 20x/(x+y) = k and if x < y, which of the following could be the value of k?
A. 10
B. 12
C. 15
D. 18
E. 30

OA is (D)

Q20:
Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses?
(1) The price of Tomâ€™s house was $110,000.
(2) The price of Janeâ€™s house was $120,000.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

OA is (B)

Q34:
In the xy-plane, what is the slope of line l?
(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x â€“ 1.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

The answer is (D) because Triangle ORU (if you take O as the centre of the circle is an equilateral triangle) and so length of line segment RU will be 4.

I guess it just has to strike you at that moment

Could someone please help out with the other questions

Q8:
Length of Arc = r * x
where x = central angle
r = radius
substituting that you get x = 60 degrees, so triangle RTU becomes an equilateral triangle, and RU = 4
Q17:
reduces to
x/ (x + y) = k / 30
Substituting for k from the choices will give you the right answer.

Q20:
Median is the middle number.
If Avg == 120K and Jane's house == 120K it follows that one person's has to be above 120 K and the other's below 120K, which makes Jane's house the median

Q34:

If 1) is true, line l is parallel to y=1 - x, so has the same slope.
2) does not provide anything by itself.