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Are p and q both greater than zero? 1. p – q > 0 2. p > q
Option 1: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option 2: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option 3: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
Option 4: EACH statement ALONE is sufficient to answer the question asked.
Option 5: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
ABC Consulting charges more for the first 100 man–hours of a project than for additional hours beyond the first 100. If Acme’s fees for using ABC Consulting’s services were $14,000, how many man-hours were charged?
(1) ABC Consulting charges $100 per man-hour for the first 100 man-hours and $80 per man-hour for each additional hour or fraction of an hour.
(2) If the charges for the first 100 hours had been $120/man-hour, Acme’s total consulting charges would have been $16,000.
Option 1: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option 2: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option 3: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
Option 4: EACH statement ALONE is sufficient to answer the question asked.
Option 5: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
A team of workers including Tom and Dick work in the same office according to a schedule that ensures that exactly two team members will be present at a given time, and that in the course of the week all the team members work an equal number of hours. What is the probability that a visitor to the office who doesn’t know the schedule arrives to find both Tom and Dick in the office? 1. The team has three members. 2. Tom and Dick worked together for the whole of the previous day.
Option 1: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option 2: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option 3: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
Option 4: EACH statement ALONE is sufficient to answer the question asked.
Option 5: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
In triangle ABC, AB = x, BC = y, and CA = y-4. Which of the three angles of triangle ABC is the smallest? 1. y = x + 5 2. x = 6
Option 1: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option 2: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option 3: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
Option 4: EACH statement ALONE is sufficient to answer the question asked.
Option 5: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
A man shared his lottery winnings of $15,000 with his wife and two children. How much did his wife receive? 1.He gave his children $2,000 each. 2. The wife received $1,000 less than her husband and three thousand more than each of the children.
Option 1: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option 2: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option 3: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
Option 4: EACH statement ALONE is sufficient to answer the question asked.
Option 5: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house? (1) The selling price minus the real estate agents commission was $84,600. (2) The selling price was 250 percent of the original purchase price of $36,000.
Option 1: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option 2: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option 3: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
Option 4: EACH statement ALONE is sufficient to answer the question asked.
Option 5: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
If the average (arithmetic mean) of the five numbers x, 7, 2, 16 and 11 is equal to the median of the five numbers, what is the value of x? (1) 7 < x < 11 (2) x is the median of the five numbers
Option 1: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option 2: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option 3: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
Option 4: EACH statement ALONE is sufficient to answer the question asked.
Option 5: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
A terminating decimal is any decimal that has a finite number of nonzero digits. If x and y are positive integers and the ratio x/y is expressed as a decimal, is x/y a terminating decimal? (1) 50 < x < 60 (2) y = 8
Option 1: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option 2: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option 3: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
Option 4: EACH statement ALONE is sufficient to answer the question asked.
Option 5: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
What is the remainder when x is divided by 18?
1)The remainder when x is divided by 9 is 7.
2)x is even.
Option 1: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option 2: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option 3: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
Option 4: EACH statement ALONE is sufficient to answer the question asked.
Option 5: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Q is a two digit number. If 7 is the tens digit of q, what is the units digit of q to the 4th?
1) q is an even integer.
2) q is not a multiple of 5.
Option 1: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option 2: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option 3: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
Option 4: EACH statement ALONE is sufficient to answer the question asked.
Option 5: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
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