## Search found 2027 matches

#### Inequalities

##### Inequalities

If $$4 < A < 6,$$ $$n$$ and $$m$$ are positive integers with $$n > m,$$ and $$T=A\times 10n,$$ then what is the value of $$T?$$

1) $$\sqrt{A\ast 10^m}=23100$$
2) $$n-m=7$$

The OA is C

Source: Magoosh

by swerve

Thu Aug 26, 2021 10:14 am
Forum: Data Sufficiency
Topic: Inequalities
Replies: 0
Views: 92

#### Algebra, Exponents/Powers

##### Algebra, Exponents/Powers

If $$2^{2x+1} \ast 3^{2y-1}=8^x \ast 27^y,$$ then $$x+y=$$

A. -3
B. -1
C. 0
D. 1
E. 3

The OA is C

Source: Manhattan Prep

by swerve

Thu Aug 26, 2021 10:08 am
Forum: Problem Solving
Topic: Algebra, Exponents/Powers
Replies: 0
Views: 53

#### A team of 2 is to be selected from a group of 5. if the number of males in the group is n, then what's the value of n?

##### Re: A team of 2 is to be selected from a group of 5. if the number of males in the group is n, then what's the value of

A team of 2 is to be selected from a group of 5. if the number of males in the group is n, then what's the value of n? 1. The number of males in the group is one more than the number of females 2. The probability the team consists of at least one male is 9/10 OA D Source: e-GMAT Let the number of m...

#### A fair 2-sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not

##### Re: A fair 2-sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but no

A fair 2-sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not more than 5 times? A. 5/8 B. 3/4 C. 7/8 D. 57/64 E. 15/16 OA C Source: Princeton Review Let's find it out the other way: P of all head(or no tail)$$=\dfrac{1}{2^6}=\dfrac{1}{64}$$ P...

#### A mother and father have seven children, and the family receives an invitation with four tickets to the circus. If the

##### Re: A mother and father have seven children, and the family receives an invitation with four tickets to the circus. If t

A mother and father have seven children, and the family receives an invitation with four tickets to the circus. If the family decides to randomly select the four members who get to attend the circus, but determine that the chosen group must include at least one of the mother and father, how many di...

#### Functions And Custom Characters

##### Functions And Custom Characters

If $$f(n)=xa^n,$$ what is the value of $$f(5)?$$

1) $$f(0)=3$$
2) $$f(4)=48$$

The OA is E

Source: Princeton Review

by swerve

Fri Aug 20, 2021 5:27 am
Forum: Data Sufficiency
Topic: Functions And Custom Characters
Replies: 0
Views: 57

#### Statistics And Sets Problems

##### Statistics And Sets Problems

For the positive integers $$x, x + 2, x + 4, x + 7,$$ and $$x + 12,$$ the mean is how much greater than the median?

A. 0
B. 1
C. 2
D. 4
E. 7

The OA is B

Source: Veritas Prep

by swerve

Fri Aug 20, 2021 5:15 am
Forum: Problem Solving
Topic: Statistics And Sets Problems
Replies: 0
Views: 47

#### How many multiples of 3 are there between 10 and 90, inclusive?

##### Re: How many multiples of 3 are there between 10 and 90, inclusive?

How many multiples of 3 are there between 10 and 90, inclusive? A. 26 B. 27 C. 28 D. 29 E. 30 OA B Source: Princeton Review First multiple of $$3$$ in the range: $$3 * 4 = 12$$ Last Multiple of $$3$$ in the range: $$3 * 30 = 90$$ Total no. of multiples in the range: $$30 -4 + 1 = 27$$ Therefore, B

by swerve

Wed Aug 18, 2021 1:27 pm
Forum: Problem Solving
Topic: How many multiples of 3 are there between 10 and 90, inclusive?
Replies: 1
Views: 83

#### If the circle above has center $$A$$ and area $$144\pi,$$ what is the perimeter of sector $$ABCD?$$

##### Re: If the circle above has center $$A$$ and area $$144\pi,$$ what is the perimeter of sector $$ABCD?$$

CircleA.png If the circle above has center $$A$$ and area $$144\pi,$$ what is the perimeter of sector $$ABCD?$$ A. $$12+\dfrac3{2\pi}$$ B. $$12+3\pi$$ C. $$18+\dfrac3{2\pi}$$ D. $$24+\dfrac3{2\pi}$$ E. $$24+3\pi$$ Answer: E Source: Veritas Prep Radius of the circle $$= 12$$ Circumference of the cir...

#### A group of 4 boys and 5 girls take a test. What is the average (arithmetic mean) score of the group in the test?

##### Re: A group of 4 boys and 5 girls take a test. What is the average (arithmetic mean) score of the group in the test?

A group of 4 boys and 5 girls take a test. What is the average (arithmetic mean) score of the group in the test? 1. The average score of the boys is 23 points while the average score of the girls is 20 points 2. If one of the girls had scored 6 points more, the average score of the group would have...

#### A six-sided die with faces numbered one through six is rolled twice. What is the probability that the face with the

##### Re: A six-sided die with faces numbered one through six is rolled twice. What is the probability that the face with the

A six-sided die with faces numbered one through six is rolled twice. What is the probability that the face with the number 2 on it will not be facing upward on either roll? A. 1/6 B. 2/3 C. 25/36 D. 17/18 E. 35/36 OA C Source: Princeton Review Probability of not getting a $$2$$ on the first roll $$... #### If x represents the sum of the interior angles of a regular hexagon and y represents the sum of the interior angles of ###### Problem Solving ##### Re: If x represents the sum of the interior angles of a regular hexagon and y represents the sum of the interior angles If x represents the sum of the interior angles of a regular hexagon and y represents the sum of the interior angles of a regular pentagon, then the difference between x and y is equal to the sum of the interior angles of what geometric shape? A. Triangle B. Square C. Rhombus D. Trapezoid E. Pentago... #### Algebra ###### Data Sufficiency ##### Algebra If \(x^2+2xwy+3wy^2=144,$$ and if $$x$$ and $$y$$ and $$z$$ are all positive, then what is the value $$(x+3y)?$$

1) $$x+2y=11$$
2) $$w=3$$

The AO is B

Source: Magoosh

by swerve

Fri Aug 13, 2021 12:08 pm
Forum: Data Sufficiency
Topic: Algebra
Replies: 0
Views: 62

Susan ordered x pizzas for $11 each. In additional, each pizza topping cost$4for the first pizza and \$3 for each additional pizza. If each pizza has exactly one topping, which of the following gives the total cost, in terms of x, of the pizzas Susan ordered? A. $$11x + 1$$ B. $$11x + 4$$ C. $$14x +... by swerve Fri Aug 13, 2021 12:02 pm Forum: Problem Solving Topic: Word Problems Replies: 0 Views: 68 #### Seed mixture \(X$$ is $$40$$ percent ryegrass and $$60$$ percent bluegrass by weight; seed mixture $$Y$$ is $$25$$ perce

##### Re: Seed mixture $$X$$ is $$40$$ percent ryegrass and $$60$$ percent bluegrass by weight; seed mixture $$Y$$ is $$25$$ p

Seed mixture $$X$$ is $$40$$ percent ryegrass and $$60$$ percent bluegrass by weight; seed mixture $$Y$$ is $$25$$ percent ryegrass and $$75\%$$ fescue. If a mixture of $$X$$ and $$Y$$ contains $$30\%$$ ryegrass, what percent of the weight of the mixture is $$X?$$ A. $$10\%$$ B. $$33\frac13\%$$ C. ...