Data Sufficiency

Each employee of Company Z is an employee of either Division X or Division Y, but not both. If each division has some part-time employees, is the ratio of the number of full-time employees to the number of part-time employees greater for Division X than for Company Z? (1) The ratio of the number of full-time employees to the number of part-time employees is less for Division Y than for Company Z. (2) More than half of the full-time employees of Company Z are employees of Division X, and more than half of the the part-time employees of Company Z are employees of Division Y.

https://www.prepscholar.com/gmat/blog/hardest-gmat-data-sufficiency-questions/

From January 1, 2002 to July 1, 2002, the median household income in Country X increased by 2%. What was the median household income in Country X on January 1, 2002? (1) From July 1, 2001 to January 1, 2002, the median household income in Country X increased by 4%. (2) From July 1, 2001 to January 1, 2002, the median household income in Country X increased by $1,020.

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

If x and y are integers, is x⁄3 an integer? (1) x + 14 = 2y (2) (2y + 1)⁄3 is an integer.

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

If x and y are non-negative integers and x + y = 25, what is x? (1) 20x + 10y < 300 (2) 20x + 10y > 280

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Is x negative? (1) x < y (2) x + y = 0

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

On the number line, point A has coordinate a and point B has coordinate b. Is b < 0? (1) -1 < b < 0 (2) The distance between A and B is equal to a².

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Maria had twice as many suits in the year 1995 as she did in the year 1990. How many suits did Maria have in the year 1990? (1) Maria had twice as many suits in the year 2000 as she did in the year 1995 (2) Maria had 2 more suits in the year 2000 than she did in the year 1995.

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. http://www.kaplanquizzes.com/gmat/?id=123&aid=e&utm_medium=Email&utm_source=SFMC&utm_campaign=ROLLING+-+GMAT+-+QUESTION+OF+THE+DAY+-+NURT+-+QAD&et_rid=404525905

What is the value of a? (1) a² = b² (2) b - a = -12

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. http://www.kaplanquizzes.com/gmat/?id=133&aid=c&utm_medium=Email&utm_source=SFMC&utm_campaign=ROLLING+-+GMAT+-+QUESTION+OF+THE+DAY+-+NURT+-+QAD&et_rid=404525905

Each student in a room is a sophomore, a junior, or a senior. Each of these students has exactly one of the categorizations of sophomore, junior, and senior. How many students in the room are seniors? (1) There are a total of 36 students in the room, of which 1/3 are sophomores. (2) There are 14 juniors in the room.

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. http://www.kaplanquizzes.com/gmat/?id=2&aid=e&utm_medium=Email&utm_source=SFMC&utm_campaign=ROLLING+-+GMAT+-+QUESTION+OF+THE+DAY+-+NURT+-+QAD&et_rid=404525905

By what percent was the price of a certain candy bar increased? (1) The price of the candy bar was increased by 5 cents. (2) The price of the candy bar after the increase was 45 cents.

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. https://www.gmac.com/executive-assessment/prepare/quantitative-section/data-sufficiency-questions

What is the average (arithmetic mean) of a, b, and c? (1) a + 2b + 3c = 10 (2) 3a + 2b + c = 14

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. https://www.gmac.com/executive-assessment/prepare/quantitative-section/data-sufficiency-questions

A trader purchased three products - Product X, Product Y, and Product Z - for a sum of $500,000. Did the trader pay more than $200,000 for Product Z? (1) The sum the trader paid for Product X and Product Y combined was 3 times the sum the trader paid for Product X. (2) The trader paid more to purchase Product Z than to purchase Product Y.

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. https://www.manhattanreview.com/free-gmat-practice-questions/?qbid=14

In a certain class, a teacher distributed a few candies and a few bars among the students such that each student got an equal number of candies and an equal number of bars and no candies or bars remained undistributed. How many students were there in the class? (1) The teacher distributed 180 candies and 40 bars. (2) The total number of items received by each student was less than 20.

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. https://www.manhattanreview.com/free-gmat-practice-questions/?qbid=4

A teacher distributed pens, pencils, and erasers among the students of his class, such that all students got an equal number of pens, an equal number of pencils, and an equal number of erasers. If no pens, pencils, or erasers remained with the teacher, how many students were in the class? (1) Each student got pens, pencils, and erasers in the ratio 3:4:5, respectively. (2) The teacher distributed a total of 27 pens, 36 pencils, and 45 erasers.

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. https://www.manhattanreview.com/free-gmat-practice-questions/?qbid=41

What is the price of an orange? (1) The price of 3 oranges and 2 apples is $7. (2) The price of an orange and the price of an apple are both integers.

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. https://www.manhattanreview.com/free-gmat-practice-questions/?qbid=8

If x, y, and z are prime numbers and x < y < z, what is the value of x? (1) xy is even (2) xz is even

EITHER statement (1) or (2) ALONE is sufficient to answer the question asked.

What is area of square LMNO ? (1) The longest line segment that can be drawn through any two points on the perimeter of square LMNO is 4√2. (2) When a circle is inscribed in square LMNO, the longest line segment connecting two points on the circumference of the circle that can be drawn has a length of 4.

EITHER statement (1) or (2) ALONE is sufficient to answer the question asked.

What is the value of z? (1) x + z = 5 + x (2) z³ = 125

EITHER statement (1) or (2) ALONE is sufficient to answer the question asked.

If x is an integer greater than 1, what is the value of x? (1) There are x unique factors of x. (2) The sum of x and any prime number larger than x is odd.

Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

Is positive integer m odd? (1) m = 2k + 1, where k is an integer (2) m is a multiple of 3

Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

If no bulk purchase discount applies, what is the price of 13 oranges and 12 apples? (1) The price of 39 oranges and 36 apples is $111. (2) The price of 3 oranges and 2 apples is $7.

Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked. https://www.manhattanreview.com/free-gmat-practice-questions/?qbid=7

Is 4 < x < 12? (1) 3x + 15 < 4x + 6 (2) 7x/3 + 8 = 36

Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked.

If m, n, and p are positive integers, is (m² + n)(2m + p) an odd integer? (1) n is an odd integer (2) p is an even integer

Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked. http://www.kaplanquizzes.com/gmat/?id=40&aid=c&utm_medium=Email&utm_source=SFMC&utm_campaign=ROLLING+-+GMAT+-+QUESTION+OF+THE+DAY+-+NURT+-+QAD&et_rid=404525905

Ann and Pierre purchased $37 worth of French fries. Ann spent $3 on each order of French fries she bought, and Pierre spent $5 on each order of French fries he bought. How many orders of French fries did Ann purchase? (1) Ann and Pierre would have spent a total of $111 if Ann had spent $9 on each order of French fries she purchased, and Pierre had spent $15 on each order of French fries he purchased. (2) Ann and Pierre purchased a total of 9 orders of French fries.

Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked. http://www.kaplanquizzes.com/gmat/?id=118&aid=d&utm_medium=Email&utm_source=SFMC&utm_campaign=ROLLING+-+GMAT+-+QUESTION+OF+THE+DAY+-+NURT+-+QAD&et_rid=404525905

If b ≠ 0, does a equal b? (1) a2⁄b2 + 4 = 5 (2) 17a + 4b⁄7 = 3

Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked. http://www.kaplanquizzes.com/gmat/?id=57&aid=a&utm_medium=Email&utm_source=SFMC&utm_campaign=ROLLING+-+GMAT+-+QUESTION+OF+THE+DAY+-+NURT+-+QAD&et_rid=404525905

Each of the 25 books on bookshelf X is thinner than each of the 25 books on bookshelf Y. Is the median thickness of the 50 books less than 20-millimeters? (1) The thinnest book on bookshelf X is 2 millimeters thick. (2) The thinnest book on bookshelf Y is 20 millimeters thick.

Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked. https://www.manhattanreview.com/free-gmat-practice-questions/?qbid=44

Of the 75 houses in a certain community, 48 have a patio. How many of the houses in the community have a swimming pool? (1) 38 of the houses in the community have a patio but do not have a swimming pool. (2) The number of houses in the community that have a patio and a swimming pool is equal to the number of houses in the community that have neither a swimming pool nor a patio.

Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked. https://www.prepscholar.com/gmat/blog/hardest-gmat-data-sufficiency-questions/

A retailer sells only clocks and radios. If she currently has 44 items in inventory, how many of them are radios? (1) The retailer has more than 28 radios in inventory. (2) The retailer has less than twice as many radios as clocks in inventory.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

At a certain fitness center, are more than 1⁄6 of the members over 30 years of age? (1) Exactly 60 percent of male members are over 20 years of age, and of these, 3⁄5 are over 30 years of age. (2) Exactly 15 female members are over 30 years of age.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Is the product of all of the elements in Set S negative? (1) All of the elements in Set S are negative. (2) There are 5 negative numbers in Set S.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Is the integer n odd? (1) n is divisible by 3. (2) n is divisible by 5.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed. https://www.gmac.com/executive-assessment/prepare/quantitative-section/data-sufficiency-questions

Did David solve more questions than Steve in a 2-hour test? (1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test. (2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed. https://www.manhattanreview.com/free-gmat-practice-questions/?qbid=43

A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green? (1) There are 5 balls in the box. (2) The number of green balls is greater than the number of blue balls.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed. https://www.manhattanreview.com/free-gmat-practice-questions/?qbid=45

The points A, B, C, and D are on a number line, not necessarily in that order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D? (1) The distance between C and A is the same as the distance between C and B. (2) A is to the left of D on the number line.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed. https://www.prepscholar.com/gmat/blog/hardest-gmat-data-sufficiency-questions/

If a and b are integers, is m⁵ < 4ⁿ? (1) m³ = -27 (2) b² = 16

Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

If x and y are positive integers, is (√x)² an integer? (1) (√x) is an integer (2) (√y) is an integer

Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.