## Search found 1622 matches

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

###### Problem Solving

##### 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

Answer: E

Source: Magoosh

- by Gmat_mission

Fri Jan 28, 2022 12:07 pm- Forum: Problem Solving
- Topic: If a rectangle has a perimeter of 20 and a diagonal with a length of 9, what is the area of the rectangle?
- Replies:
**0** - Views:
**332**

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

###### Data Sufficiency

##### 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) \(0 < a < b < 2.\)

Answer: A

Source: GMAT Club Tests

- by Gmat_mission

Fri Jan 28, 2022 12:05 pm- Forum: Data Sufficiency
- Topic: If \([x]\) denotes the greatest integer less than or equal to \(x\) for any number \(x,\) is \([a]+ [b]=1?\)
- Replies:
**0** - Views:
**229**

#### 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 \(5\)

###### Problem Solving

##### 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 \(B,\)...

- by Gmat_mission

Fri Jan 28, 2022 11:58 am- Forum: Problem Solving
- Topic: 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 \(5\)
- Replies:
**2** - Views:
**3158**

- by Gmat_mission

Fri Jan 28, 2022 11:56 am- Forum: Data Sufficiency
- Topic: Is \(rst = 1 ?\)
- Replies:
**0** - Views:
**220**

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

###### Problem Solving

##### 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...

- by Gmat_mission

Fri Jan 28, 2022 11:55 am- Forum: Problem Solving
- Topic: In the expression \(a \$ b,\) the \(\$\) symbol represents one of the following arithmetic operations on \(a\) and \(b\)
- Replies:
**0** - Views:
**253**

#### In a recent survey, twenty families reported their incomes for \(1995.\) Was the range of reported \(1995\) incomes for

###### Data Sufficiency

##### In a recent survey, twenty families reported their incomes for \(1995.\) Was the range of reported \(1995\) incomes for

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...

- by Gmat_mission

Fri Jan 28, 2022 11:48 am- Forum: Data Sufficiency
- Topic: In a recent survey, twenty families reported their incomes for \(1995.\) Was the range of reported \(1995\) incomes for
- Replies:
**1** - Views:
**395**

##### \(\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=\)

\(\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=\)

A. \(\sqrt3\)

B. \(3\sqrt3\)

C. \(5\sqrt3\)

D. \(3\sqrt5\)

E. \(5\sqrt5\)

Answer: A

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:
**240**

#### When the positive integer \(x\) is divided by the positive integer \(y,\) the quotient is \(2\) and the remainder is

###### Data Sufficiency

##### 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...

- by Gmat_mission

Fri Jan 28, 2022 11:42 am- Forum: Data Sufficiency
- Topic: When the positive integer \(x\) is divided by the positive integer \(y,\) the quotient is \(2\) and the remainder is
- Replies:
**0** - Views:
**253**

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

###### Problem Solving

##### 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...

- by Gmat_mission

Fri Jan 28, 2022 11:39 am- Forum: Problem Solving
- Topic: Salesperson \(A\)'s compensation for any week is \(\$360\) plus \(6\) percent of the portion of \(A\)'s total sales abov
- Replies:
**0** - Views:
**239**

#### 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

###### Data Sufficiency

##### 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...

- by Gmat_mission

Fri Jan 28, 2022 11:37 am- Forum: Data Sufficiency
- Topic: 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
- Replies:
**1** - Views:
**326**

#### The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively.

###### Problem Solving

##### The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively.

The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of these values does the mean number of defects per car for the first six cars equal the med...

- by Gmat_mission

Fri Jan 28, 2022 11:03 am- Forum: Problem Solving
- Topic: The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively.
- Replies:
**0** - Views:
**230**

##### If \(m\) and \(n\) are both positive, is \(mn < 10?\)

If \(m\) and \(n\) are both positive, is \(mn < 10?\)

(1) \(m < 2\)

(2) \(n < 5\)

Answer: C

Source: Manhattan GMAT

- by Gmat_mission

Fri Jan 28, 2022 11:02 am- Forum: Data Sufficiency
- Topic: If \(m\) and \(n\) are both positive, is \(mn < 10?\)
- Replies:
**0** - Views:
**189**

#### If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probability

###### Problem Solving

##### If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probability

If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probability that Enid will roll a larger number than Topanga does? A. \(\dfrac25\) B. \(\dfrac9{20}\) C. \(\dfrac{49}{100}\) D. \(\dfrac{99}{200}\) E. \(\dfrac12\) Answer: B Source: Veritas Prep

- by Gmat_mission

Fri Jan 28, 2022 11:01 am- Forum: Problem Solving
- Topic: If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probability
- Replies:
**1** - Views:
**280**

##### If \(n\) and \(t\) are positive integers, is \(n\) a factor of \(t?\)

If \(n\) and \(t\) are positive integers, is \(n\) a factor of \(t?\)

(1) \(n=3^{n-2}\)

(2) \(t=3^n\)

Answer: C

Source: GMAT Prep

- by Gmat_mission

Fri Jan 28, 2022 10:59 am- Forum: Data Sufficiency
- Topic: If \(n\) and \(t\) are positive integers, is \(n\) a factor of \(t?\)
- Replies:
**0** - Views:
**223**

##### If \(a\) and \(b\) are integers, is \(b>a?\)

If \(a\) and \(b\) are integers, is \(b>a?\)

(1) \(-\dfrac{30}{b}=a\)

(2) \((a-b)(a+b)=-11\)

Answer: E

Source: Manhattan GMAT

- by Gmat_mission

Fri Jan 28, 2022 10:10 am- Forum: Data Sufficiency
- Topic: If \(a\) and \(b\) are integers, is \(b>a?\)
- Replies:
**0** - Views:
**202**