Read the passage and choose the option that best answer each question.
1. If x and y are both positive, and if x/y = 7/2, how much greater is x than y?
2x + y = 8
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
2. If x, y and z are different integers, is x divisible by 11?
xyz is divisible by 22 and 33
yz is divisible by 72
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 die is rolled randomly on to a circular board with a triangle inscribed in the circle. (All three vertices of the triangle are on the circumference of the circle.) What is the probability that the die comes to rest outside the triangular region?
The hypotenuse of the triangle is a diameter of the circle.
The radius of the circle is 2 units, and the area of the triangle is 4 square units.
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 university has 2,000 faculty members all of whom have a masters degree, and some of whom also have a doctorate. 35 percent of the faculty members are female. What fraction of the faculty members are female doctorate holders?
20 percent of the male faculty members have a doctorate.
A total of 1140 faculty members have only a masters degree.
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. The retail price of a certain refrigerator was Z dollars. Nina was given a further 10 percent discount on the already discounted sale price (Y) of this refrigerator. Given that the price Nina paid was X dollars, what was the dollar value of the extra 10 percent discount that she obtained?
The sale price, Y, was 90 percent of the normal retail price, Z.
If the sale price, Y, had been 20 dollars more, then X would have been $14 less than this new value of 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. In triangle ABC all the sides have integer lengths. What is the length of side AC?
AB = 3 and BC = 4
One of the angles of ABC is a right angle
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. Is x < 0 ?
7x > 8x
-3(x) >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
8. In what year was Heidi born?
Heidi?s daughter was born in 1960 when Heidi was 28 years old.
Heidi?s birthday and her daughter?s birthday are exactly six months apart.
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. Is xy < 15?
0.5 < x < 1, and y² = 144
x < 3 , y < 5
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. Set 1: 13, 10, 8, 2
Set 2: 13, 11, 3, 2, x
Is the median of the numbers in set 1 above, equal to the median of the numbers in set 2?
8 < x < 10
The sum of numbers in set 2 is 38
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