GMAT- Data Sufficiency 250 Questions and their solutions

Calculate the probability of drawing a black or white ball from a box. Using the second statement alone is sufficient to give white or black probability as 5/6.

Analyze a circle data-sufficiency problem where a right triangle area 18 yields r^2 = 36, showing a single statement suffices; arc-length reasoning with theta pi/2 confirms second statement is enough.

Master data sufficiency concepts by analyzing rounding rules to the nearest tenth and nearest integer, concluding that statement one is sufficient while statement two is not.

Analyze data sufficiency for exponential inequalities using even and odd powers and negative values. Show that statement two alone suffices to decide x^5 > y^5.

analyze whether x is bigger than y using inequalities in this data sufficiency question, and determine that statement 1 alone is sufficient while statements 2 and 3 are not.

Analyze data sufficiency question 15, where an isosceles right triangle and a square of side three determine P, the square’s diagonal, with either statement alone sufficing.

Analyze data sufficiency for a water barrel that is 40 percent full; both statements fail to determine the barrel's volume, so neither alone provides the needed information.

In data sufficiency question 20, statement one alone determines X equals five. Statement two alone yields two possible values, so it is not sufficient.

Analyze a data sufficiency question on the ratio x:y; the first statement alone determines the ratio, while the second statement alone is insufficient to find x:y.

Determine the price per widget w from a 480 total cost in this data sufficiency problem using two conditional statements; each statement alone suffices to find w.

Determine that neither statement alone suffices, and together they yield two possible values for X (2 or 3), leaving X's value undetermined.

Statement one is not enough to find x minus y. Solving x^2+x=12 gives x equal to -4 or 3, and with x+y=12 it remains ambiguous, so data sufficiency fails.

Factor the expression 9x^2 - 30xy + 25y^2 into (3x - 5y)^2 and show that 3x - 5y equals 20 is sufficient, while x+y equals 12 is not.

In a data sufficiency problem of red, green, and blue chips, determine red or green probability; statement 2 is sufficient, since p(r or g) = 1 − p(b) = 6/7.

The lecture explains data sufficiency for y greater than x under two statements, y = x + 1 and y = x^2 + 1, showing each statement alone suffices.

this lecture analyzes data sufficiency for x and y, showing statement 1 alone suffices to determine whether x > y, while statement 2 alone is insufficient due to multiple relations.

Solve a data sufficiency circle problem by using area formulas and A minus B and A plus B relationships to determine which statement alone suffices.

Analyze a GMAT data sufficiency problem about jacket pricing. Compute Jessica’s savings from a sale using original price P, increase A, and discount B, and assess statements' sufficiency.

Determine whether A is less than B. Conclude that statement 1 is not sufficient; statement 2 shows A > B, so statement 2 alone is sufficient.

Analyze how to determine the average of A and B using data sufficiency. Statement 1 is insufficient to find A+B, while statement 2 is sufficient.

The lecture shows that the angle equals arctan(k/j) from a point and origin; with j = -4 alone, the angle is not determined, and statement two alone is insufficient.

This data sufficiency problem analyzes an isosceles triangle with angles A, B, and C. Using statement two (C = 90) yields A = B = 45, proving sufficiency.

Answering whether y is an integer when x is an integer in a data sufficiency problem. Statement one alone is sufficient, while statement two is not sufficient.

GMAT data sufficiency: apply circle geometry to deduce square area via radius, diameter, and Pythagoras theorem; statement 1 is enough, statement 2 is not, so the answer is A.

Explore GMAT data-sufficiency strategies as you analyze two statements about fractions inversely related to denominators to determine k; neither statement alone nor together yields a unique value.

This data sufficiency lecture analyzes W, X, Y with mean 20 and W ≤ X ≤ Y; using statements to test W > 15, together they are sufficient (answer: C).

Analyze a GMAT data sufficiency question with positive numbers P and Q, applying sum and diff identities to show statement two suffices to determine the value.

Assess data sufficiency for question 63 by testing root and integer constraints, concluding that statement 1 alone suffices to determine the answer while statement 2 is not sufficient.

This data-sufficiency exercise uses tokens and tent costs to solve for x and y, representing 3-token and 4-token tents; only statements combined yield a unique solution.

Determine that statement two alone suffices to conclude that P is less than Q, so P is not bigger than Q.

Determine the value of 1/x minus 1/y using GMAT data sufficiency; statement one suffices, while statement two provides no usable relation.

Explore data sufficiency in a gmat problem where A and B’s joint rate yields 200 widgets in four hours. Show that each statement alone suffices to determine the required time.

Learn to solve GMAT data sufficiency questions by analyzing price per banana through proportional reasoning, testing statements about quantities A, B, R, and S to determine if combined info suffices.

Analyze data sufficiency for a multi-segment trip by calculating average speed from total distance and total duration, using given statements to determine if enough information exists.

Evaluate data sufficiency criteria for whether ABCDE is a rectangle by testing angle conditions and side parallels. Show that both statements, alone or together, fail to provide sufficient information.

Using the ratio mammals:reptiles:birds = 11:8:5, statement 1 yields X = 4, so five X equals 20 birds, and statement 2 similarly confirms X = 4.

evaluate data sufficiency for a GMAT problem with x and y as consecutive odd integers, x<y, and xy negative; conclude statement one is sufficient, statement two is not.

Present a data sufficiency scenario with five friends' amounts, using total and median concepts to decide who has the most money, and show that each statement alone suffices.

Analyze data sufficiency question 94 by testing whether x and y satisfy the given conditions through algebraic manipulation, and show that statement two alone is sufficient.

Explore data sufficiency using a 20-number set with 19 values between 40 and 50, comparing median and mean, and show that the second statement is sufficient.

Analyze remainder problems in data sufficiency by expressing numbers as four k plus R and examining modulo eight, showing statement 1 suffices while statement 2 does not, answer a.

The lecture analyzes data-sufficiency for whether quadrilateral abcde is a square. Alone, each statement is insufficient; together, they show all angles are 90 degrees and all sides are equal.

Explains a data sufficiency problem with four integers a, b, c, d to determine the mean and median, shows that the statements (including mode) yield the median at three.

Explore a data sufficiency question where statement 1 yields four x-values and statement 2 yields two; combined, they still leave two possibilities, so neither alone nor together suffices.

Analyze a data sufficiency problem about selecting two black socks from 36 without replacement. The first statement yields a solvable probability, while the second statement offers insufficient information.

Explore data sufficiency in a GMAT problem using a square, a midpoint, and angle conditions to show when statements fail and when combined yield equal sides and a fixed angle.

Gmat data sufficiency lecture demonstrates determining A squared plus C squared from two statements about A, B, and C; neither statement alone is enough, but together they are sufficient.

Examine a data sufficiency scenario with addition, subtraction, multiplication, and division to determine the value of one gunma and assess if the statements together or separately suffice.

Analyze two statements about boys and girls to determine the probability of selecting a boy; individually insufficient, but together they yield a solvable data sufficiency equation.

This data sufficiency lesson tackles a price puzzle where parking tickets cost half of orchestra tickets, balcony to orchestra is 3:2, and statements reveal orchestra price 30 and balcony 15.

This GMAT data sufficiency lecture analyzes a problem where w/(x+y)=1, demonstrates rearranging and solving, and shows that each statement alone suffices to determine (x+y)/w.

This GMAT data sufficiency lecture analyzes a question involving powers and seventh powers, showing that statement one yields infinitely many possible a values and is not sufficient to determine a.

This lecture analyzes the parity of integer products in data sufficiency questions, showing that for consecutive integers, even times odd is always even, making the second statement sufficient.

Evaluate a gmat data-sufficiency problem with a, b, c where b^2+c^2=370; determine a^2+c^2, showing that statements alone are insufficient but together they yield a unique value.

Analyze whether x and y are positive integers yielding a prime product under statement 1 and an even square under statement 2, and show together they deduce x=1 and y=2.

analyze data sufficiency for positive integers x and y, evaluating two statements on inequalities to decide if x is bigger than 3y; statement two is sufficient, statement one is not.

analyze data sufficiency for integers x and y with x = y + 1, comparing x^x, y^y, and x^y, and show that together they prove x^x > y^y.

Assess data sufficiency for comparing slopes of lines K and J using intercepts, parallelism, and obtuse angles, illustrating multiple cases and often inconclusive results.

Evaluate a data sufficiency problem comparing the cube root of X with the fifth root of X (X ≠ 0), highlighting sign effects and concluding the statements are not sufficient.

Assess data sufficiency for K by analyzing whether K is an integer or fraction, the primality of possible values, and constraints from even powers and square numbers.

Assess data-sufficiency for a GMAT problem about the percentage of female employees who are college graduates, showing that neither statement alone nor their combination yields the exact percentage.

Determine the probability a bulb is defective from a shipment of 720 bulbs using the ratio of defective to non-defective bulbs; statement one gives 1:60, but without X, not enough.

Analyze a GMAT data sufficiency problem with pennies, nickels, and quarters totaling $1.37; evaluate whether counts of pennies or quarters determine the probability of drawing an illegal coin.

Learn how to solve a GMAT data sufficiency question on the average of X and Y by combining two statements to determine X+Y without solving X, Y, or K.

Solve data sufficiency problems in GMAT style by using the triangle angle sum of 180 to determine X, with statement one sufficient to find X while statement two is not.

Analyze a GMAT data sufficiency question on exponent comparisons, use signs and even/odd powers to assess positivity, and conclude that statements one and two together are not sufficient.

This data sufficiency lecture analyzes a coin problem with quarters and dimes totaling 1.70, showing that with x+y<9, the only solution is x=6 and y=2, so statement one suffices.

Analyze data sufficiency for question 192 using distance equals speed times time on a 120-mile trip. Conclude: statement 1 is not enough; statement 2 yields a unique solution.

Analyzing a GMAT data sufficiency question about a minus b and x, the lecture shows statement one is not enough and both statements yield a unique value for x.

In this data sufficiency lecture for GMAT question 197, the instructor uses a slope and a line through the origin to show statement 1 is not enough.

Solve a data sufficiency GMAT style problem about selecting two socks without replacement to determine whether each statement alone suffices to find the probability that both socks are black.

Assess whether divisibility of XY or WY by six yields enough to determine W, X, Y as positive integers with product 24. Both statements alone and together are not sufficient.

Solve a GMAT data sufficiency problem using consecutive odd integers; determine y minus x equals 2, and use statement 2 with eight numbers to make it solvable.

Examine a GMAT data sufficiency problem with integers X and Y and two statements, and determine that each statement alone is sufficient.

Evaluate data sufficiency for the probability of selecting a boy from a class; alone, B+G=35 or the ratio B:G=3:4 are insufficient, but together they yield a determinate probability.

Learn how to solve a data sufficiency problem with quadratic inequalities, identify roots at 1 and 3, and determine that statement 1 alone is sufficient while statement 2 is not.

Analyzes a GMAT data-sufficiency problem with W, X, Y; statement one is not sufficient, statement two is not sufficient, and together they remain indeterminate.

Evaluate GMAT data sufficiency questions on divisibility by three, showing statement 1 is sufficient and statement 2 is not, with algebraic reasoning for X and Y.

in this data sufficiency problem for GMAT, 2x - y = 75, the statement x = 3y alone suffices, and the second statement alone also suffices to determine x.

Demonstrate data sufficiency on a GMAT style five-number problem where the average is 20, and assess whether the three smallest numbers' average is determinable.

Analyze a four-hour round trip between Arlington and Burlington to compute average speed in this GMAT data sufficiency lesson, showing that statement two alone suffices.

Analyze a data sufficiency problem determining what percent of paintings are by Jane from a 3 to 7 ratio, noting that each statement suffices.

Provides a data sufficiency approach to dollars per mile by converting hours to minutes using statement 1; statement 2 offers no relevant data.

Combine X ≥ 3 and X < 4 to determine X, given X is an integer; together they show X equals 3.

Analyze a GMAT data sufficiency problem on ratios of plain, strawberry, and banana waffles, and decide whether one or two statements suffice to determine total sales.

evaluate a gmat data sufficiency problem: statement 1 alone makes the cube root of x plus y^2 an integer; statement 2 is insufficient; answer a.

Explore a data-sufficiency problem: X is a positive integer. Statement 1 makes the sum of any two factors even; statement 2 makes X prime; together they show X equals three.