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Is the two-digit integer k (k > 20) a prime number?
1) The units digit of k is a multiple of the tens digit of k.
2) The units digit of k is 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.
In a class with 12 children, q of the children are girls. Two children will be randomly chosen simultaneously. What is the value of q?
1) The probability that two girls will be chosen together is 1/11.
2) The probability that one boy will be chosen and one girl will be chosen is 16/33.
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.
How much was a certain Babe Ruth baseball card worth in January 1991?
(1) In January 1997 the card was worth $100,000.
(2) Over the ten years 1987-1997, the card increased in value by 10% each 12 months.
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.
How many adults ride bicycles in city A if all adults in city A either ride bicycles or drive cars?
(1) 85% of the 10,000 adults in city A drive cars.
(2) 8,500 adults in city A drive cars.
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.
Each of the 600 elements of Set X is a distinct integer. How many of the integers in Set X are positive odd integers?
(1) Set X contains 150 even integers
(2) 70% of the odd integers in Set X are positive
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 z an integer ?
(1) 2z is an even integer
(2) 4z is an even 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 x is an integer, is x odd ?
(1) x+4 is an odd integer
(2) x/3 is NOT an even 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 n is a positive integer greater than 16, is n a prime number ?
(1) n is odd
(2) The remainder when n is divided by 3 is 1, and the remainder when n is divided by 7 is 1.
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 and b are integers, and m is an even integer, is ab/4 an integer?
(1) a+b is even
(2) m/(ab) is an odd 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 n is a positive integer and r is the remainder when (n-1)(n + 1) is divided by 24, what is the value of r?
(1) n is not divisible by 2.
(2) n 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.
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