GMAT Q-51 Practice */* All questions

Must solve 100 GMAT practice questions. The categorization of the type of question and the concept tested are listed in the right column for each question. Detailed explanatory answers, solution videos and slide decks are also provided.

- 1
**If x is a positive integer such that (x-1)(x-3)(x-5)....(x-93) < 0, how many values can x take?***A. 47*

B. 23

C. 46

D. 21

E. 22

- Problem Solving
- Positive & Negative numbers
- Odd & Even numbers
**Correct Answer**Choice (B).

x can take 23 integer values. Correct answer

- 2
**Is x**^{3}> x^{2}*Statement 1: x > 0*

Statement 2: x < 1

- Data Sufficiency
- Exponents
**Correct Answer**Choice (B).

Statement (2) alone is sufficient while statement (1) is not. Correct answer

- 3
**If m and n are non-zero integers, is m**^{n}> n^{n}?*Statement 1: |m| = n*

Statement 2: m < n

- Data Sufficiency
- Exponents
- Absolute Value
**Correct Answer**Choice (A).

Statement(1) alone is sufficient; statement (2) is not. Correct answer

- 4
**If two distinct integers a and b are picked from {1, 2, 3, 4, .... 100} and multiplied, what is the probability that the resulting number has EXACTLY 3 factors?***A.*

B.

C.

D.

E.

- Problem Solving
- Number Properties
- Discrete Probability
**Correct Answer**Choice (B).

The required probability is Correct answer

- 5
**What is the remainder when the positive integer x is divided by 6?***Statement 1: When x is divided by 7, the remainder is 5.*

Statement 2: When x is divided by 9, the remainder is 3.

- Data Sufficiency
- Number Properties
**Correct Answer**Choice (E).

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed. Correct answer

- 6
**Working alone, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take half a day more. How long does it take to complete the task if they both work together?***A.*

B.

C.

D.

E.

- Algebra
- Problem Solving
- Work Time
**Correct Answer**Choice (D).

Working together they will take days. Correct answer

- 7
**A candy manufacturer decided to decrease the weight of each candy bar, while retaining the price. By how many cents did the per kilogram cost of candy change after the reduction in weight?***Statement 1: The weight of each piece of candy bar reduced by 9 grams.*

Statement 2: The weight of each piece of candy bar reduced by 9%

- Word Problems
- Data Sufficiency
- Ratios, Percents, Fractions
**Correct Answer**Choice (E).

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed. Correct answer

- 8
**In the figure given below, ABC and CDE are two identical semi-circles of radius 2 units. B and D are the mid points of the arc ABC and CDE respectively. What is the area of the shaded region?**

*A. 4π - 1*

B. 3π - 1

C. 2π - 4

D. ½(3π - 1)

E. 2π - 2

- Problem Solving
- Geometry
- Semicircles
- Isosceles Triangles
**Correct Answer**Choice (C).

The area of the shaded region is

(2π - 4) sq units. Correct answer

- 9
**a, b, and c are sides of a right triangle. What is the area of the triangle?***Statement 1: a = 4.*

Statement 2: a + b + c = 4.

- Geometry
- Data Sufficiency
- Right Triangles
**Correct Answer**Choice (C).

Statements (1) and (2) TOGETHER are sufficient to answer the question asked. Correct answer

- 10
**If a, b, and c are not equal to zero, what is the difference between the maximum and minimum value of S?**\\ S = 1+\frac { \left| a \right| }{ a } +\frac {2 \left| b \right| }{ b } +\frac {3 \left| ab \right| }{ ab } -\frac {4 \left| c \right| }{ c } \\)

*A. 12*

B. 14

C. 22

D. 20

E. 18

- Problem Solving
- Algebra
- Absolute Value
**Correct Answer**Choice (E).

The difference between the maximum and minimum value is 18. Correct answer

- 11
**Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true?***I. The maximum possible range of the set is greater than 33.*

II. The median can never be an even number.

III. If y = 37, the average of the set will be greater than the median.*A. I only*

B. I and II only

C. I and III only

D. III only

E. I, II, and III

- Problem Solving
- Arithmetic
- Statistics
- Range, Mean, Median
**Correct Answer**Choice (E).

All 3 statements are correct. Correct answer

- 12
**If x and y are integers and |x - y| = 12, what is the minimum possible value of xy?**

*A. -12*

B. -18

C. -24

D. -36

E. -48

- Problem Solving
- Algebra
- Absolute Value
**Correct Answer**Choice (D).

The minimum possible value for xy is -36. Correct answer

- 13
**Three positive integers a, b, and c are such that their average is 20 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?***A. 23*

B. 21

C. 25

D. 26

E. 24

- Statistics
- Problem Solving
- Mean & Median
**Correct Answer**Choice (C).

Least possible value for c is 25. Correct answer