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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: 305
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: 214
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: 877
- by Gmat_mission
Fri Jan 28, 2022 11:56 am- Forum: Data Sufficiency
- Topic: Is \(rst = 1 ?\)
- Replies: 0
- Views: 205
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: 233
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: 336
\(\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=\)
\(\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=\)
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: 212
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: 230
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: 202
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: 301
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: 209
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: 180
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: 258
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: 205
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: 189