# Learn and Practice Free Data Sufficiency Set 14 questions

## You can get answer of the below sample questions by going through the above Question sets.

#### In a group of 80 college students, how many own a car? (1) Of the students who do not own a car, 14 are male. (2) Of the students who own a car, 42% are female.

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 rectangle is plotted on the standard coordinate plane, with vertices at the origin and (0,6). If the coordinates of all vertices of the rectangle are non-negative integers, what are the coordinates of the other two vertices? (1) The distance between the origin and one of the other vertices is 10 units. (2) The distance between the origin and one of the other vertices is 8 units.

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.

#### The average of 5 distinct single digit integers is 5. If two of the integers are discarded, the new average is 4. What is the largest of the 5 integers? (1) Exactly 3 of the integers are consecutive primes. (2) The smallest integer 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.

#### If 20 Swiss Francs is enough to buy 9 notebooks and 3 pencils, is 40 Swiss Francs enough to buy 12 notebooks and 12 pencils? (1) 20 Swiss Francs is enough to buy 7 notebooks and 5 pencils. (2) 20 Swiss Francs is enough to buy 4 notebooks and 8 pencils.

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 and y are positive integers, what is the greatest common divisor of x and y? (1) 2x + y = 73 (2) 5x – 3y = 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.

#### At a restaurant, a group of friends ordered four main dishes and three side dishes at a total cost of \$89. The prices of the seven items, in dollars, were all different integers, and every main dish cost more than every side dish. What was the price, in dollars, of the most expensive side dish? (1) The most expensive main dish cost \$16. (2) The least expensive side dish cost \$9.

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.

#### Between 1980 and 1985, Pierres investment portfolio increased in value by x%. Between 1985 and 1990, the portfolio increased in value by y%. Since 1990, the portfolio has decreased in value by z%. If x, y, and z are all positive integers, is the portfolio currently worth more than it was in 1980? (1) x + y > z (2) y − x > z

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 certain salesman yearly income is determined by a base salary plus a commission on the sales he makes during the year. Did the salesmans base salary account for more than half of the salesmans yearly income last year? (1) If the amount of the commission had been 30 percent higher, the salesmans income would have been 10 percent higher last year. (2) The difference between the amount of the salesmans base salary and the amount of the commission was equal to 50 percent of the salesmans base salary last year.

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 cube is made up of equal smaller cubes. Two of the sides of the larger cube are called A and B. What is the total number of smaller cubes? (1) When n smaller cubes are painted on A, n is 1/9 of the total number of smaller cubes. (2) When m smaller cubes are painted on B, m is 1/3 of the total number of smaller cubes

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 all the attendees at a dinner party, 40% were women. If each attendee arrived at the party either alone or with another attendee of the opposite sex, what percentage of the total number of attendees arrived at the party alone? (1) 50% of the male attendees arrived with a woman. (2) 25% of the attendees arriving alone were women.

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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