Read the passage and choose the option that best answer each question.
1. How many ewes (female sheep) in a flock of 50 sheep are black?
There are 10 rams (male sheep) in the flock.
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?
The perimeter of E and the perimeter of F are equal.
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. If a and b are both positive, what percent of b is a?
a = 3/11
b/a = 20
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. A wheel of radius 2 meters is turning at a constant speed. How many revolutions does it make in time T?
T = 20 minutes.
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
5. Are the integers x, y and z consecutive?
The arithmetic mean (average) of x, y and z is y.
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
6. Is x > 0 ?
-2x < 0
x³ > 0
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
7. 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?
The distance between doors B and D is 10 meters.
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
8. Given that x and y are real numbers, what is the value of x + y ?
(x² ? y²) / (x-y) = 7
(x + y)² = 49
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
9. Two socks are to be picked at random from a drawer containing only black and white socks. What is the probability that both are white?
The probability of the first sock being black is 1/3.
There are 24 white socks in the drawer.
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
10. A bucket was placed under a dripping tap which was dripping at a uniform rate. At what time was the bucket full?
The bucket was put in place at 2pm.
The bucket was half full at 6pm and three-quarters full at 8pm.
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