GMAT Data Sufficiency (GMAT DS)
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
 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.
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
What is the value of X, if X and Y are two distinct integers and their product is 30?
 X is an odd integer
 X > Y
 Correct AnswerChoice (E).
The two statements together are NOT sufficient. Correct answer  Explanatory Answer
 Number Properties
 Easy
What is the standard deviation (SD) of the four numbers p, q, r, s?
 The sum of p, q, r and s is 24
 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
How is Bill related to Betty?
 Cindy, the wife of Bill's only brother Chris does not have any siblings.
 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
Is y an integer?
 y^{3} is an integer
 3y is an integer
 Correct AnswerChoice (C).
The two statements together are sufficient. Correct answer  Explanatory Answer
 Number Properties
 Medium
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?
 The sales booked by the salesman in the month of November 2003 minus salesman's commission was $245,000
 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
Is m divisible by 6?
 m is divisible by 3
 m is divisible by 4
 Correct AnswerChoice (C).
The two statements together are sufficient. Correct answer  Explanatory Answer
 Test of Divisibility
 Easy
Is ab positive?
 (a + b)^{2} < (a  b)^{2}
 a = b
 Correct AnswerChoice (A).
Statement 1 alone is sufficient; statement 2 is not. Correct answer  Explanatory Answer
 Number Properties
 Medium
When Y is divided by 2, is the remainder 1?
 (1) ^{(Y+2)} = 1
 Y is prime.
 Correct AnswerChoice (A).
Statement 1 alone is sufficient; statement 2 is not. Correct answer  Explanatory Answer
 Number Theory
 Medium
Is the two digit positive integer P a prime number?
 (P + 2) and (P  2) are prime.
 (P  4) and (P + 4) are prime.
 Correct AnswerChoice (D).
EACH statement ALONE is sufficient. Correct answer  Explanatory Answer
 Prime Numbers
 Hard
If m, s are the average and standard deviation of integers a, b, c, and d, is s > 0?
 m > a
 a + b + c + d = 0
 Correct AnswerChoice (A).
Statement 1 alone is sufficient; statement 2 is not. Correct answer  Explanatory Answer
 Descriptive Statistics
 Medium
Is x^{3} > x^{2} ?
 x > 0
 x < 1
 Correct AnswerChoice (B).
Statement 2 alone is sufficient; statement 1 is not. Correct answer  Explanatory Answer
 Number Theory
 Medium
Is y = 3?
 (y  3)(x  4) = 0
 (x  4) = 0
 Correct AnswerChoice (E).
The two statements together are NOT sufficient. Correct answer  Explanatory Answer
 Algebraic expressions
 Medium
Is a terminating decimal?
 x is a multiple of 2
 y is a multiple of 3
 Correct AnswerChoice (E).
The two statements together are sufficient. Correct answer  Explanatory Answer
 Terminating Decimals
 Easy
Is the positive integer X divisible by 21?
 When X is divided by 14, the remainder is 4
 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
A set S contains the following elements: {7, 11, 15, 19, 23, x}. What is the value of x?
 The elements are in arithmetic progression
 x is prime
 Correct AnswerChoice (C).
The two statements together are sufficient. Correct answer  Explanatory Answer
 Arithmetic Progression
 Easy
Is xy < 0?
 5x + y = 0
 x + 5y = 0
 Correct AnswerChoice (D).
EACH statement ALONE is sufficient. Correct answer  Explanatory Answer
 Absolute Values
 Medium
Is triangle ABC obtuse angled?
 a^{2} + b^{2} > c^{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
Is triangle ABC with sides a, b and c acute angled?
 Triangle with sides a^{2}, b^{2}, c^{2} has an area of 140 sq cms.
 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
When a positive integer 'x' is divided by a divisor 'd', the remainder is 24. What is d?
 When 2x is divided by d, the remainder is 23.
 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
How many of the numbers x, y, and z are positive if each of these numbers is less than 10?
 x + y + z = 20
 x + y = 14
 Correct AnswerChoice (A).
Statement 1 alone is sufficient; statement 2 is not. Correct answer  Explanatory Answer
 Number Properties
 Medium
Is a < b?
 a^{b} < b^{a}
 > 1
 Correct AnswerChoice (E).
The two statements together are NOT sufficient. Correct answer  Explanatory Answer
 Inequalities & Indices
 Medium
Is  a  >  b ?
 a + b < 0
 Correct AnswerChoice (C).
The two statements together are sufficient. Correct answer  Explanatory Answer
 Inequalities & Absolute Values
 Medium
What is the 6^{th} term of the Arithmetic sequence?
 The sum of the 6^{th} to the 12^{th} term of the sequence is 77.
 The sum of the 2^{nd} to the 10^{th} 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
Is a^{3} > a^{2}?
 > a
 a^{5} > a^{3}
 Correct AnswerChoice (A).
Statement 1 alone is sufficient; statement 2 is not. Correct answer  Explanatory Answer
 Inequalities & Indices
 Medium
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? x intercept of Line L is less than that of Line K
 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
Is  a  > a?
 a^{2} < a
 Correct AnswerChoice (A).
Statement 1 alone is sufficient; statement 2 is not. Correct answer  Explanatory Answer
 Inequalities & Absolute Values
 Medium
Does the line x + y = 6 intersect or touch the circle C with radius 5 units?
 Center of the circle lies in the third quadrant.
 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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