# 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 Answer**Choice (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 Answer**Choice (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 Answer**Choice (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 Answer**Choice (C).

The two statements together are sufficient. Correct answer- Explanatory Answer
- Number Properties
- Medium

- y
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 Answer**Choice (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 Answer**Choice (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 Answer**Choice (A).

Statement 1 alone is sufficient; statement 2 is not. Correct answer- Explanatory Answer
- Number Properties
- Medium

- (a + b)
When Y is divided by 2, is the remainder 1?

- (-1)
^{(Y+2)}= -1 - Y is prime.

**Correct Answer**Choice (A).

Statement 1 alone is sufficient; statement 2 is not. Correct answer- Explanatory Answer
- Number Theory
- Medium

- (-1)
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 Answer**Choice (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 Answer**Choice (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 Answer**Choice (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 Answer**Choice (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 Answer**Choice (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 Answer**Choice (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 Answer**Choice (C).

The two statements together are sufficient. Correct answer- Explanatory Answer
- Arithmetic Progression
- Easy

Is xy < 0?

- 5|x| + |y| = 0
- |x| + 5|y| = 0

**Correct Answer**Choice (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 Answer**Choice (E).

The two statements together are sufficient. Correct answer- Explanatory Answer
- Obtuse angled triangles
- Hard

- a
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 Answer**Choice (A).

Statement 1 alone is sufficient; statement 2 is not. Correct answer- Explanatory Answer
- Acute angled triangles
- Hard

- Triangle with sides a
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 Answer**Choice (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 Answer**Choice (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 Answer**Choice (E).

The two statements together are NOT sufficient. Correct answer- Explanatory Answer
- Inequalities & Indices
- Medium

- a
Is | a | > | b |?

- a + b < 0

**Correct Answer**Choice (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 Answer**Choice (B).

Statement 2 alone is sufficient; statement 1 is not. Correct answer- Explanatory Answer
- Sequences & Series
- Medium

- The sum of the 6
Is a

^{3}> a^{2}?- > a
- a
^{5}> a^{3}

**Correct Answer**Choice (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 Answer**Choice (A).

Statement 1 alone is sufficient; statement 2 is not. Correct answer- Explanatory Answer
- Coordinate Geometry
- Medium

Is | a | > a?

- a
^{2}< a

**Correct Answer**Choice (A).

Statement 1 alone is sufficient; statement 2 is not. Correct answer- Explanatory Answer
- Inequalities & Absolute Values
- Medium

- a
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 Answer**Choice (E).

The two statements together are NOT sufficient. Correct answer- Explanatory Answer
- Coordinate Geometry
- Hard

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