## Search found 1597 matches

#### A cake recipe uses a constant ratio of 2 teaspoons vanilla extract to 1-ounce chocolate. If the original recipe, which

##### A cake recipe uses a constant ratio of 2 teaspoons vanilla extract to 1-ounce chocolate. If the original recipe, which

A cake recipe uses a constant ratio of 2 teaspoons vanilla extract to 1-ounce chocolate. If the original recipe, which serves four people, is altered proportionally to yield a cake that serves six people, how many ounces of chocolate will be used in the larger cake? (1) The original recipe calls for...

#### A couple decides to have $$5$$ children. Each child is equally likely to be a boy or a girl. What is the probability

##### A couple decides to have $$5$$ children. Each child is equally likely to be a boy or a girl. What is the probability

A couple decides to have $$5$$ children. Each child is equally likely to be a boy or a girl. What is the probability that the couple has exactly $$3$$ girls and $$2$$ boys?

A. $$\dfrac1{32}$$

B. $$\dfrac1{16}$$

C. $$\dfrac5{32}$$

D. $$\dfrac5{16}$$

E. $$\dfrac16$$

Source: e-GMAT

#### What is the value of $$|x|?$$

##### What is the value of $$|x|?$$

What is the value of $$|x|?$$

(1) $$|x^2 + 16| - 5 = 27$$
(2) $$x^2 = 8x - 16$$

Source: Manhattan GMAT

by Gmat_mission

Fri Jan 28, 2022 12:12 pm
Forum: Data Sufficiency
Topic: What is the value of $$|x|?$$
Replies: 0
Views: 3

#### While driving from $$A$$-ville to $$B$$-town, Harriet drove at a constant speed of $$115$$ kilometers per hour. Upon

##### While driving from $$A$$-ville to $$B$$-town, Harriet drove at a constant speed of $$115$$ kilometers per hour. Upon

While driving from $$A$$-ville to $$B$$-town, Harriet drove at a constant speed of $$115$$ kilometers per hour. Upon arriving in $$B$$-town, Harriet immediately turned and drove back to $$A$$-ville at a constant speed of $$135$$ kilometers per hour. If the entire trip took $$5$$ hours, how many minu...

#### What is the value of $$\dfrac{\sqrt{b}}{a}?$$

##### What is the value of $$\dfrac{\sqrt{b}}{a}?$$

What is the value of $$\dfrac{\sqrt{b}}{a}?$$

(1) $$b = a + 2$$

(2) $$b^2=a^4$$

Source: Magoosh

by Gmat_mission

Fri Jan 28, 2022 12:09 pm
Forum: Data Sufficiency
Topic: What is the value of $$\dfrac{\sqrt{b}}{a}?$$
Replies: 0
Views: 3

#### If a rectangle has a perimeter of 20 and a diagonal with a length of 9, what is the area of the rectangle?

##### If a rectangle has a perimeter of 20 and a diagonal with a length of 9, what is the area of the rectangle?

If a rectangle has a perimeter of 20 and a diagonal with a length of 9, what is the area of the rectangle?

A. 7.5
B. 8
C. 8.5
D. 9
E. 9.5

Source: Magoosh

#### If $$[x]$$ denotes the greatest integer less than or equal to $$x$$ for any number $$x,$$ is $$[a]+ [b]=1?$$

##### If $$[x]$$ denotes the greatest integer less than or equal to $$x$$ for any number $$x,$$ is $$[a]+ [b]=1?$$

If $$[x]$$ denotes the greatest integer less than or equal to $$x$$ for any number $$x,$$ is $$[a]+[ b ] = 1?$$

(1) $$ab=2.$$

(2) $$0 < a < b < 2.$$

Source: GMAT Club Tests

#### The ratio of boys to girls in Class $$A$$ is $$3$$ to $$4.$$ The ratio of boys to girls in Class $$B$$ is $$4$$ to $$5$$

##### The ratio of boys to girls in Class $$A$$ is $$3$$ to $$4.$$ The ratio of boys to girls in Class $$B$$ is $$4$$ to $$5$$

The ratio of boys to girls in Class $$A$$ is $$3$$ to $$4.$$ The ratio of boys to girls in Class $$B$$ is $$4$$ to $$5.$$ If the two classes were combined, the ratio of boys to girls in the combined class would be $$17$$ to $$22.$$ If Class $$A$$ has one more boy and two more girls than class $$B,$$...

#### Is $$rst = 1 ?$$

##### Is $$rst = 1 ?$$

Is $$rst = 1 ?$$

(1) $$rs = 1$$
(2) $$st = 1$$

Source: Official Guide

by Gmat_mission

Fri Jan 28, 2022 11:56 am
Forum: Data Sufficiency
Topic: Is $$rst = 1 ?$$
Replies: 0
Views: 3

#### In the expression $$a \ b,$$ the $$\$$ symbol represents one of the following arithmetic operations on $$a$$ and $$b$$

##### In the expression $$a \ b,$$ the $$\$$ symbol represents one of the following arithmetic operations on $$a$$ and $$b$$

In the expression $$a \ b,$$ the $$\$$ symbol represents one of the following arithmetic operations on $$a$$ and $$b$$ (in the order the variables are shown): addition, subtraction, multiplication, and division. Given that it is not true that $$a \ b = b \ a$$ for all possible values of $$a$$ an...

In a recent survey, twenty families reported their incomes for $$1995.$$ Was the range of reported $$1995$$ incomes for these families greater than $$\60,000?$$ (1) Thirteen of the reported incomes were between $$\20,000$$ and $$\35,000.$$ (2) Seven of the reported incomes were between $$\80,000... #### \(\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=$$

##### $$\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=$$

$$\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=$$

A. $$\sqrt3$$

B. $$3\sqrt3$$

C. $$5\sqrt3$$

D. $$3\sqrt5$$

E. $$5\sqrt5$$

Source: Veritas Prep

by Gmat_mission

Fri Jan 28, 2022 11:46 am
Forum: Problem Solving
Topic: $$\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=$$
Replies: 0
Views: 5

#### When the positive integer $$x$$ is divided by the positive integer $$y,$$ the quotient is $$2$$ and the remainder is

##### When the positive integer $$x$$ is divided by the positive integer $$y,$$ the quotient is $$2$$ and the remainder is

When the positive integer $$x$$ is divided by the positive integer $$y,$$ the quotient is $$2$$ and the remainder is $$z.$$ When $$x$$ is divided by the positive integer $$a,$$ the quotient is $$3$$ and the remainder is $$b.$$ Is $$z > b?$$ (1) The ratio of $$y$$ to a is less than $$3$$ to $$2.$$ (2...

#### Salesperson $$A$$'s compensation for any week is $$\360$$ plus $$6$$ percent of the portion of $$A$$'s total sales abov

##### Salesperson $$A$$'s compensation for any week is $$\360$$ plus $$6$$ percent of the portion of $$A$$'s total sales abov

Salesperson $$A$$'s compensation for any week is $$\360$$ plus $$6$$ percent of the portion of $$A$$'s total sales above $$\1,000$$ for that week. Salesperson $$B$$'s compensation for any week is $$8$$ percent of $$B$$'s total sales for that week. For what amount of total weekly sales would both s...

#### Maria left home 1/4 hour after her husband and drove over the same route as he had in order to overtake him. From the

##### Maria left home 1/4 hour after her husband and drove over the same route as he had in order to overtake him. From the

Maria left home 1/4 hour after her husband and drove over the same route as he had in order to overtake him. From the time she left, how many hours did it take Maria to overtake her husband? (1) Maria drove 60 miles before overtaking her husband. (2) While overtaking her husband, Maria drove at an a...