(Q. 1-5) Each problem consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question.

1) How many ewes (female sheep) in a flock of 50 sheep are black?

I. There are 10 rams (male sheep) in the flock.
II. Forty percent of the animals are black.

A. statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
B. statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
C. both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
D. each statement alone is sufficient
E. statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

2) Is the length of a side of equilateral triangle E less than the length of a side of square F?

I. The perimeter of E and the perimeter of F are equal.
II. The ratio of the height of triangle E to the diagonal of square F is 2√3 : 3√2.

A. statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
B. statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
C. both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
D. each statement alone is sufficient
E. statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

3) A wheel of radius 2 meters is turning at a constant speed. How many revolutions does it make in time T?

I. T = 20 minutes.
II. The speed at which a point on the circumference of the wheel is moving is 3 meters per minute.

A. statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
B. statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
C. both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
D. each statement alone is sufficient
E. statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

4) Are the integers x, y and z consecutive?

I. The arithmetic mean (average) of x, y and z is y.
II. y-x = z-y

A. statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
B. statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
C. both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
D. each statement alone is sufficient
E. statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

5) A certain straight corridor has four doors, A, B, C and D (in that order) leading off from the same side. How far apart are doors B and C?

I. The distance between doors B and D is 10 meters.
II. The distance between A and C is 12 meters.

A. statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
B. statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
C. both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
D. each statement alone is sufficient
E. statements 1 and 2 together are not sufficient, and additional data is needed to answer the question