Quantitative Reasoning: Data Sufficiency

This is an MCQ-based quiz for GMAT, which includes questions on Quantitative Reasoning (Data Sufficiency).

Start Quiz

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.

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

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

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

EACH statement ALONE is sufficient to answer the question asked.

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

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.

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

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

EACH statement ALONE is sufficient to answer the question asked.

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 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.

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

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

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

EACH statement ALONE is sufficient to answer the question asked.

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

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.

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

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

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

EACH statement ALONE is sufficient to answer the question asked.

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

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.

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

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

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

EACH statement ALONE is sufficient to answer the question asked.

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

If neither x nor y is equal to 0, is 3x−2y=0?

  • (1) 27x^3−8y^3=0

  • (2) 9x^2−4y^2=0

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

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

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

EACH statement ALONE is sufficient to answer the question asked.

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

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.

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

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

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

EACH statement ALONE is sufficient to answer the question asked.

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

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

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

EACH statement ALONE is sufficient to answer the question asked.

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

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 the 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.

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

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

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

EACH statement ALONE is sufficient to answer the question asked.

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

For all integers n, the function f is defined by f(n)=(a)^(6/n), where a is a constant. What is the value of f(1)?

  • (1) f(2)=64

  • (2) f(3)=16

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

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

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

EACH statement ALONE is sufficient to answer the question asked.

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

Quiz/Test Summary
Title: Quantitative Reasoning: Data Sufficiency
Questions: 10
Contributed by:
james