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If x and y are positive integers , is the product xy even
(1) 5x - 4y is even
(2) 6x + 7y 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.
If a, b and c are integers greater than one, and 15^8=a·b^c, what is the value of c?
(1) a is not divisible by 5.
(2) b is not divisible by 3.
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 y and z are integers, is y*(z + 1) odd?
(1) y is odd
(2) z 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.
Train A leaves New York for Boston at 3 PM and travels at the constant speed of 100 mph. An hour later, it passes Train B, which is making the trip from Boston to New York at a constant speed. If Train B left Boston at 3:50 PM and if the combined travel time of the two trains is 2 hours, what time did Train B arrive in New York?
(1) Train B arrived in New York before Train A arrived in Boston.
(2) The distance between New York and Boston is greater than 140 miles.
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.
Bob and Wendy left home to walk together to a restaurant for dinner. They started out walking at a constant pace of 3 mph. At precisely the halfway point, Bob realized he had forgotten to lock the front door of their home. Wendy continued on to the restaurant at the same constant pace. Meanwhile, Bob, traveling at a new constant speed on the same route, returned home to lock the door and then went to the restaurant to join Wendy. How long did Wendy have to wait for Bob at the restaurant?
(1) Bob’s average speed for the entire journey was 4 mph.
(2) On his journey, Bob spent 32 more minutes alone than he did walking with Wendy.
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.
For integers a and b, if (a^3 – a^2 – b)^1/2 = 7, what is the value of a?
(1) a^2 - a = 12
(2) b^2 - b = 2
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 b c + d e f = x y z If, in the addition problem above, a, b, c, d, e, f, x, y, and z each represent different positive single digits, what is the value of z ?
(1) 3a = f = 6y
(2) f – c = 3
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 does not equal to zero, is 1/a > a/(b^4 +3)?
(1) a = b^2
(2) a^2 = b^4
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.
w, x, y, and z are integers. If z > y > x > w, is |w| > x^2 > |y| > z^2?
(1) wx > yz
(2) zx > wy
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.
w, x, y, and z are integers. If w > x > y > z > 0, is y a common divisor of w and x?
(1) w/x= z^-1+x^-1
(2) w^2-wy-2w=0
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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