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If x and y are nonzero integers, is x/y an integer?
(1) x is the product of 2 and some other integer.
(2) There is only one pair of positive integers whose product equals y.
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.
x and y are positive integers such that x=8y+12, what is the greatest common divisor of x and y?
(1) X=12u, where u is an integer.
(2) Y=12z, where z is an integer.
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.
Does the integer k have a factor p such that 1 < p < k ?
(1) k > 4!
(2) 13! + 2 <= k <= 13! + 13
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.
Y and Z are both positive numbers less than 1. Is Y > Z ?
(1) The hundredths digit of Y is greater than the tenths digit of Z and less than the hundredths digit of Z.
(2) The thousandths digit of Y is greater than the hundredths digit of Y and less than the tenths digit of Y.
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 x + y is an integer, is y an integer?
(1) x – y is an integer.
(2) x + 2y is an integer.
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 r and s are positive integers, can the fraction r/s be expressed as a decimal with only a finite number of nonzero digits?
(1) s is a factor of 100
(2) r is a factor of 100
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.
x, y, and z are consecutive integers, and x < y < z. What is the average of x, y, and z?
(1) x = 11
(2) The average of y and z is 12.5.
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.
Of the numbers Q, R, S, and T, which is greatest?
(1) The average (arithmetic mean) of Q and R is S.
(2) The sum of Q and R is T.
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 value of the two-digit positive integer n?
(1) The sum of the digits in n is 12
(2) If the digits in n are reversed ,the value of the number formed is 36 more than the value of n
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.
Is A + B + C even?
(1) A - C - B is even
(2) (A - C)/B is odd
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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