# GMAT Data Sufficiency (GMAT DS)

Sample Practice questions in Data Sufficiency

About 40% of the questions that appear in the GMAT quant section are data sufficiency questions. 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. The embedded video is your starting point for everything GMAT DS. The video covers the basics of GMAT DS. Scroll down for GMAT sample data sufficiency practice questions. Attempt these questions and check whether you have got the correct answer. If you find any question difficult to solve, go to the explanatory answer or watch the video explanations (wherever provided) to learn how to crack the question. The solution videos and explanatory answers include GMAT DS strategy and tips to crack this type of questions.

### GMAT Data Sufficiency Directions & GMAT DS Answer Choices

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.
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
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
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.
4. Is y an integer?

1. y3 is an integer
2. 3y is an integer
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.
6. Is the positive integer m divisible by 6?

1. m is divisible by 3
2. m is divisible by 4
7. Is ab positive?

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

1. (-1) (Y+2) = -1
2. Y is prime.
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.
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
11. Is x3 > x2 ?

1. x > 0
2. x < 1
12. Is y = 3?

1. (y - 3)(x - 4) = 0
2. (x - 4) = 0
13. Is ${$frac{x}{y}}$ a terminating decimal? 1. x is a multiple of 2 2. y is a multiple of 3 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 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. 16. Is xy < 0? 1. 5|x| + |y| = 0 2. |x| + 5|y| = 0 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. 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. 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. 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 21. Is a < b? 1. ab < ba 2. ${$frac{a}{b}}$ > 1 22. Is | a | > | b |? 1. ${\frac {1} {$a-b$}}>{$frac {1} {$b-a)}}$
2. a + b < 0
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.
24. Is a3 > a2

1. ${$frac{1}{a}}$> a 2. a5 > a3 25. Line L is perpendicular to line K whose equation is 3y = 4x + 12; Lines L and K intersect at$p, q).

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
26. Is | a | > a?

1. a2 < a
2. $$left$ {{$frac {a} {2}}} $right$>$left$ {{$frac {2} {a}}} \right$$ 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.
28. Is 'a' positive?

1. a - b > 0
2. 2a - b > 0
29. If x and y are positive integers, is y odd?

1. x is odd.
2. xy is odd.
30. Is 'b' the median of 3 numbers a, b, and c?

1. ${$frac {b} {a}}={$frac {c} {b}}$ 2. ab < 0 31. Is the slope of the line that passes through the point$p, q$ positive?

1. p, q > 0
2. The x-intercept of the line is k, such that k > p.
32. Is an > bn?

1. a > b
2. ab < 0

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