Read the passage and choose the option that best answer each question.
1. A piece of string 1½ meters long is cut into three pieces. What is the length of each of the pieces?
The length of one of the pieces is 20 cm.
The sum of the lengths of two of the pieces is equal to the length of the third piece.
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. There are 120 saplings to be planted in an orchard. Ben and Sue working together without a break can complete the job in six hours. How long would it take Ben working alone to complete the job?
Sue plants 3 saplings in the time it takes Ben to plant 2.
Sue working alone would take 10 hours to do the job.
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. What is the length of the diagonal of rectangle ABCD?
The perimeter of the rectangle is 16.
The area of the rectangle is 16.
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. The arithmetic mean (average) of a set of 10 numbers is 10. Is the median value of the same set also equal to 10?
Exactly half of the numbers are less than 10.
The mode of the set of numbers is 10.
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. When a cookie is taken at random from a jar, what is the probability that it is chocolate flavored?
There are twice as many chocolate flavored cookies as there are almond flavored cookies in the jar.
One third of the cookies in the jar are almond flavored.
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. Yesterday it rained in Baronia. Did it rain in Dukia?
Whenever it rains in Dukia, it also rains in Baronia.
If it does not rain in Dukia, it does not rain in Baronia.
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. How many people are standing in the queue at the counter?
If four more people join the queue, the number in the queue will be more than 15.
If three people give up and leave the queue, the number remaining will be less than 10.
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. If the average age of three people is 21 years, is the youngest older than 13?
The oldest is 25.
One person is 24.
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 the area of circle C greater than the area of square S?
The diameter of C is equal to the diagonal of square S.
The perimeter of S is less than the circumference of C.
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. How many hours were Fran and Fred away from home?
They left at 9.30 am on Monday and returned at 9.30pm on Friday.
Their home was empty for exactly four days.
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