**Learn and Practice Free Data Sufficiency Set 12 questions **

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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 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 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 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 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 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 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 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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