DS DOSE by jingoist ID-02

1. In parallelogram ABCD above, what is the measure of ∠ADC?

(1) The measure of ∠ABC is greater than 90^o.

(2) The measure of ∠BCD is 70^o

2. Is x² equal to xy?

(1) x² – y² = (x + 5)(y - 5)

(2) x = y

3. Was 70 the average (arithmetic mean) grade on a class test?

(1) On the test, half of the class had grades below 70 and half of the class had grades above 70.

(2) The lowest grade on the test was 45 and the highest grade on the test was 95.

4. What was John’s average driving speed in miles per hour during a 15-minute interval?

(1) He drove 10 miles during this interval.

(2) His maximum speed was 50 miles per hour and his minimum speed was 35 miles per hour during this interval.

5. Is ΔMNP isosceles?

(1) Exactly two of the angles, ∠M and ∠N, have the same measure

(2) ∠N and ∠P do not have the same measure.

options:
A. If you can get the answer from (1) ALONE but not from (2) alone
B. If you can get the answer from (2) ALONE but not from (1) alone
C. If you can get the answer from BOTH (1) and (2) TOGETHER but not from (1) alone or {2) alone
D. If EITHER statement (1) ALONE OR statement (2) ALONE suffices
E. If you CANNOT get the answer from statements (1) and (2) TOGETHER but need even more data.
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