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GMAT Data Sufficiency (GMAT DS)

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About a third of the questions that appear in the GMAT quant section is of the data sufficiency variant. You will be provided with a question and two statements. You have to determine whether the information given in the statements is sufficient to answer the question asked. A collection of GMAT data sufficiency practice questions is given below. Attempt these questions and check whether you have got the correct answer. If you have not go to the explanatory answer or the video explanations (wherever provided) to learn how to crack the question.

Directions to answer Data Sufficiency Questions

This data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in a leap year or the meaning of the word counterclockwise), you must indicate whether -

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
  3. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
  4. EACH statement ALONE is sufficient to answer the question asked.
  5. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Numbers

All numbers used are real numbers.

Figures

A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2).

Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straight.

You may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.

All figures lie in a plane unless otherwise indicated.

Note

In data sufficiency problems that ask for the value of a quantity, the data given in the statement are sufficient only when it is possible to determine exactly one numerical value for the quantity.

GMAT Data Sufficiency Question Bank

  1. What is the value of X, if X and Y are two distinct integers and their product is 30?

    1. X is an odd integer
    2. X > Y
    • Correct AnswerChoice (E).
      The two statements together are NOT sufficient.
      Correct answer
    • Explanatory Answer
    • Number Properties
    • Easy
  2. What is the standard deviation (SD) of the four numbers p, q, r, s?

    1. The sum of p, q, r and s is 24
    2. The sum of the squares of p, q, r and s is 224
    • Correct AnswerChoice (C).
      The two statements together are sufficient.
      Correct answer
    • Explanatory Answer
    • Descriptive Statistics
    • Medium
  3. How is Bill related to Betty?

    1. Cindy, the wife of Bill's only brother Chris does not have any siblings.
    2. Betty is Cindy's brother in law's wife.
    • Correct AnswerChoice (C).
      The two statements together are sufficient.
      Correct answer
    • Explanatory Answer
    • Logical Reasoning
    • Easy
  4. Is y an integer?

    1. y3 is an integer
    2. 3y is an integer
    • Correct AnswerChoice (C).
      The two statements together are sufficient.
      Correct answer
    • Explanatory Answer
    • Number Properties
    • Medium
  5. If a salesman received a commission of 3% of the sales that he has booked in a month, what was the sales booked by the salesman in the month of November 2003?

    1. The sales booked by the salesman in the month of November 2003 minus salesman's commission was $245,000
    2. The selling price of the sales booked by the salesman in the month of November 2003 were 125 percent of the original purchase price of $225,000.
    • Correct AnswerChoice (D).
      EACH statement ALONE is sufficient.
      Correct answer
    • Explanatory Answer
    • Percentage
    • Easy
  6. Is m divisible by 6?

    1. m is divisible by 3
    2. m is divisible by 4
    • Correct AnswerChoice (C).
      The two statements together are sufficient.
      Correct answer
    • Explanatory Answer
    • Test of Divisibility
    • Easy
  7. Is ab positive?

    1. (a + b)2 < (a - b)2
    2. a = b
    • Correct AnswerChoice (A).
      Statement 1 alone is sufficient; statement 2 is not.
      Correct answer
    • Explanatory Answer
    • Number Properties
    • Medium
  8. When Y is divided by 2, is the remainder 1?

    1. (-1) (Y+2) = -1
    2. Y is prime.
    • Correct AnswerChoice (A).
      Statement 1 alone is sufficient; statement 2 is not.
      Correct answer
    • Explanatory Answer
    • Number Theory
    • Medium
  9. Is the two digit positive integer P a prime number?

    1. (P + 2) and (P - 2) are prime.
    2. (P - 4) and (P + 4) are prime.
    • Correct AnswerChoice (D).
      EACH statement ALONE is sufficient.
      Correct answer
    • Explanatory Answer
    • Prime Numbers
    • Hard
  10. If m, s are the average and standard deviation of integers a, b, c, and d, is s > 0?

    1. m > a
    2. a + b + c + d = 0
    • Correct AnswerChoice (A).
      Statement 1 alone is sufficient; statement 2 is not.
      Correct answer
    • Explanatory Answer
    • Descriptive Statistics
    • Medium
  11. Is x3 > x2 ?

    1. x > 0
    2. x < 1
    • Correct AnswerChoice (B).
      Statement 2 alone is sufficient; statement 1 is not.
      Correct answer
    • Explanatory Answer
    • Number Theory
    • Medium
  12. Is y = 3?

    1. (y - 3)(x - 4) = 0
    2. (x - 4) = 0
    • Correct AnswerChoice (E).
      The two statements together are NOT sufficient.
      Correct answer
    • Explanatory Answer
    • Algebraic expressions
    • Medium
  13. Is x/y a terminating decimal?

    1. x is a multiple of 2
    2. y is a multiple of 3
    • Correct AnswerChoice (E).
      The two statements together are sufficient.
      Correct answer
    • Explanatory Answer
    • Terminating Decimals
    • Easy
  14. Is the positive integer X divisible by 21?

    1. When X is divided by 14, the remainder is 4
    2. When X is divided by 15, the remainder is 5
    • Correct AnswerChoice (D).
      EACH statement ALONE is sufficient.
      Correct answer
    • Explanatory Answer
    • Test of Divisibility
    • Easy
  15. A set S contains the following elements: {7, 11, 15, 19, 23, x}. What is the value of x?

    1. The elements are in arithmetic progression
    2. x is prime
    • Correct AnswerChoice (C).
      The two statements together are sufficient.
      Correct answer
    • Explanatory Answer
    • Arithmetic Progression
    • Easy
  16. Is xy < 0?

    1. 5|x| + |y| = 0
    2. |x| + 5|y| = 0
    • Correct AnswerChoice (D).
      EACH statement ALONE is sufficient.
      Correct answer
    • Explanatory Answer
    • Absolute Values
    • Medium
  17. Is triangle ABC obtuse angled?

    1. a2 + b2 > c2
    2. The center of the circle circumscribing the triangle does not lie inside the triangle.
    • Correct AnswerChoice (E).
      The two statements together are sufficient.
      Correct answer
    • Explanatory Answer
    • Obtuse angled triangles
    • Hard
  18. Is triangle ABC with sides a, b and c acute angled?

    1. Triangle with sides a2, b2, c2 has an area of 140 sq cms.
    2. Median AD to side BC is equal to altitude AE to side BC.
    • Correct AnswerChoice (A).
      Statement 1 alone is sufficient; statement 2 is not.
      Correct answer
    • Explanatory Answer
    • Acute angled triangles
    • Hard
  19. When a positive integer 'x' is divided by a divisor 'd', the remainder is 24. What is d?

    1. When 2x is divided by d, the remainder is 23.
    2. When 3x is divided by d, the remainder is 22.
    • Correct AnswerChoice (A).
      Statement 1 alone is sufficient; statement 2 is not.
      Correct answer
    • Explanatory Answer
    • Divisors & Remainders
    • Medium
  20. How many of the numbers x, y, and z are positive if each of these numbers is less than 10?

    1. x + y + z = 20
    2. x + y = 14
    • Correct AnswerChoice (A).
      Statement 1 alone is sufficient; statement 2 is not.
      Correct answer
    • Explanatory Answer
    • Number Properties
    • Medium
  21. Is a < b?

    1. ab < ba
    2. a/b > 1
    • Correct AnswerChoice (E).
      The two statements together are NOT sufficient.
      Correct answer
    • Explanatory Answer
    • Inequalities & Indices
    • Medium
  22. Is | a | > | b |?

    1. 1/(a - b) > 1/(b - a)
    2. a + b < 0
    • Correct AnswerChoice (C).
      The two statements together are sufficient.
      Correct answer
    • Explanatory Answer
    • Inequalities & Absolute Values
    • Medium
  23. What is the 6th term of the Arithmetic sequence?

    1. The sum of the 6th to the 12th term of the sequence is 77.
    2. The sum of the 2nd to the 10th term of the sequence is 108.
    • Correct AnswerChoice (B).
      Statement 2 alone is sufficient; statement 1 is not.
      Correct answer
    • Explanatory Answer
    • Sequences & Series
    • Medium
  24. Is a3 > a2?

    1. 1/a > a
    2. a5 > a3
    • Correct AnswerChoice (A).
      Statement 1 alone is sufficient; statement 2 is not.
      Correct answer
    • Explanatory Answer
    • Inequalities & Indices
    • Medium
  25. Line L is perpendicular to line K whose equation is 3y = 4x + 12; Lines L and K intersect at (p, q).
    Is p + q > 0?

    1. x intercept of Line L is less than that of Line K
    2. y intercept of Line L is less than that of Line K
    • Correct AnswerChoice (A).
      Statement 1 alone is sufficient; statement 2 is not.
      Correct answer
    • Explanatory Answer
    • Coordinate Geometry
    • Medium
  26. Is | a | > a?

    1. a2 < a
    2. (a/2) > (2/a)
    • Correct AnswerChoice (A).
      Statement 1 alone is sufficient; statement 2 is not.
      Correct answer
    • Explanatory Answer
    • Inequalities & Absolute Values
    • Medium
  27. Does the line x + y = 6 intersect or touch the circle C with radius 5 units?

    1. Center of the circle lies in the third quadrant.
    2. Point (-4, -4) does not lie inside the circle.
    • Correct AnswerChoice (E).
      The two statements together are NOT sufficient.
      Correct answer
    • Explanatory Answer
    • Coordinate Geometry
    • Hard
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