## Search found 2744 matches

#### $$M$$ is a positive two-digit number. When the digits are reversed, the number is $$N.$$ If $$K = M + N,$$ which of the

##### $$M$$ is a positive two-digit number. When the digits are reversed, the number is $$N.$$ If $$K = M + N,$$ which of the

$$M$$ is a positive two-digit number. When the digits are reversed, the number is $$N.$$ If $$K = M + N,$$ which of the following is true? A. $$K$$ must be even. B. $$K$$ cannot be square. C. $$K$$ cannot be divisible by $$13.$$ D. $$K$$ must be divisible by $$11.$$ E. If $$M$$ is even then $$K$$ mu...

#### In triangle $$ABC$$ above, what is the length of side $$BC?$$

##### In triangle $$ABC$$ above, what is the length of side $$BC?$$

In triangle $$ABC$$ above, what is the length of side $$BC?$$

(1) Line segment $$AD$$ has length $$6.$$
(2) $$x = 36$$

Source: Official Guide

by Vincen

Sat Nov 27, 2021 4:48 am
Forum: Data Sufficiency
Topic: In triangle $$ABC$$ above, what is the length of side $$BC?$$
Replies: 1
Views: 30

#### Let $$S$$ be the set of permutations of the sequence $$2, 3, 4, 5, 6$$ for which the first term is not $$2.$$ A permutat

##### Let $$S$$ be the set of permutations of the sequence $$2, 3, 4, 5, 6$$ for which the first term is not $$2.$$ A permutat

Let $$S$$ be the set of permutations of the sequence $$2, 3, 4, 5, 6$$ for which the first term is not $$2.$$ A permutation is chosen randomly from $$S.$$ The probability that the second term is $$5$$ is given by $$\dfrac{a}{b}$$ (in lowest terms). What is $$a+b?$$ (A) 5 (B) 6 (C) 11 (D) 16 (E) 19 A...

#### If $$a$$ and $$b$$ are positive numbers, what are the coordinates of the midpoint of line segment $$CD$$ in the $$xy$$-p

##### If $$a$$ and $$b$$ are positive numbers, what are the coordinates of the midpoint of line segment $$CD$$ in the $$xy$$-p

If $$a$$ and $$b$$ are positive numbers, what are the coordinates of the midpoint of line segment $$CD$$ in the $$xy$$-plane?

(1) The coordinates of $$C$$ are $$(a, 1-b)$$
(2) The coordinates of $$D$$ are $$(1-a, b)$$

Source: GMAT Prep

#### How many factors of the number $$2^4 \cdot 3\cdot 5^2$$ are even?

##### How many factors of the number $$2^4 \cdot 3\cdot 5^2$$ are even?

How many factors of the number $$2^4 \cdot 3\cdot 5^2$$ are even?

A) 10
B) 12
C) 16
D) 18
E) 24

Source: e-GMAT

by Vincen

Sat Nov 27, 2021 4:42 am
Forum: Problem Solving
Topic: How many factors of the number $$2^4 \cdot 3\cdot 5^2$$ are even?
Replies: 0
Views: 23

#### A number of people shared a meal, intending to divide the cost evenly among themselves. However, several of the diners

##### A number of people shared a meal, intending to divide the cost evenly among themselves. However, several of the diners

A number of people shared a meal, intending to divide the cost evenly among themselves. However, several of the diners left without paying. When the cost was divided evenly among the remaining diners, each remaining person paid $$\12$$ more than he or she would have if all diners had contributed eq...

#### The hypotenuse of an isosceles right triangle has a length of $$h,$$ and the triangle has an area of $$a.$$ Which of the

##### The hypotenuse of an isosceles right triangle has a length of $$h,$$ and the triangle has an area of $$a.$$ Which of the

The hypotenuse of an isosceles right triangle has a length of $$h,$$ and the triangle has an area of $$a.$$ Which of the following must be true?

A) $$a=4h^2$$

B) $$a=2h^2$$

C) $$a=h^2$$

D) $$4a=h^2$$

E) $$2a=h^2$$

Source: Princeton Review

#### At a certain bakery, each roll costs $$r$$ cents, and each doughnut costs $$d$$ cents. If Alfredo bought rolls and dough

##### At a certain bakery, each roll costs $$r$$ cents, and each doughnut costs $$d$$ cents. If Alfredo bought rolls and dough

At a certain bakery, each roll costs $$r$$ cents, and each doughnut costs $$d$$ cents. If Alfredo bought rolls and doughnuts at the bakery, how many cents did he pay for each roll? (1) Alfredo paid $$\5.00$$ for $$8$$ rolls and $$6$$ doughnuts. (2) Alfredo would have paid $$\ 10.00$$ if he had bou...

#### If $$a$$ and $$b$$ are integers such that $$a > b > 1,$$ which of the following cannot be a multiple of either $$a$$ or

##### If $$a$$ and $$b$$ are integers such that $$a > b > 1,$$ which of the following cannot be a multiple of either $$a$$ or

If $$a$$ and $$b$$ are integers such that $$a > b > 1,$$ which of the following cannot be a multiple of either $$a$$ or $$b?$$

(A) $$a - 1$$
(B) $$b + 1$$
(C) $$b - 1$$
(D) $$a + b$$
(E) $$ab$$

Source: Manhattan GMAT

#### The value of a rare baseball card $$A$$ appreciated by $$20$$ percent over a five-year period; over the next five years,

##### The value of a rare baseball card $$A$$ appreciated by $$20$$ percent over a five-year period; over the next five years,

The value of a rare baseball card $$A$$ appreciated by $$20$$ percent over a five-year period; over the next five years, the value plummeted by $$50$$ percent. Over the same total time period, the value of another card $$B$$ increased by $$100\%.$$ At the end of ten years, the reduced value of $$A$$...

#### $$s(n)$$ is a $$n$$-digit number formed by attaching the first $$n$$ perfect squares, in order, into one integer.

##### $$s(n)$$ is a $$n$$-digit number formed by attaching the first $$n$$ perfect squares, in order, into one integer.

$$s(n)$$ is a $$n$$-digit number formed by attaching the first $$n$$ perfect squares, in order, into one integer. For example, $$s(1) = 1, \, s(2) = 14, \, s(3) = 149, \, s(4) = 14916, \, s(5) = 1491625,$$ etc. How many digits are in $$s(99)?$$ A. 350 B. 353 C. 354 D. 356 E. 357 Answer: B Source: Ve...

#### Susan and Iman are each typing a term paper. Who finishes first?

##### Susan and Iman are each typing a term paper. Who finishes first?

Susan and Iman are each typing a term paper. Who finishes first?

(1) Susan begins typing at 9 a.m. and finishes at 5 p.m.
(2) Iman finishes typing 6 hours after she starts.

Source: Princeton Review

by Vincen

Sat Nov 27, 2021 4:22 am
Forum: Data Sufficiency
Topic: Susan and Iman are each typing a term paper. Who finishes first?
Replies: 0
Views: 26

#### In a certain boys camp, $$20\%$$ of the total boys are from school $$A$$ and $$30\%$$ of those study science. If there

##### In a certain boys camp, $$20\%$$ of the total boys are from school $$A$$ and $$30\%$$ of those study science. If there

In a certain boys camp, $$20\%$$ of the total boys are from school $$A$$ and $$30\%$$ of those study science. If there are $$49$$ boys in the camp that are from school $$A$$ but do not study science then what is the total number of boys in the camp? A. 70 B. 245 C. 150 D. 35 E. 350 Answer: E Source:...

#### In the first hour of a bake sale, students sold either chocolate chip cookies, which sold for $$\1.30,$$ or brownies,

##### In the first hour of a bake sale, students sold either chocolate chip cookies, which sold for $$\1.30,$$ or brownies,

In the first hour of a bake sale, students sold either chocolate chip cookies, which sold for $$\1.30,$$ or brownies, which sold for $$\1.50.$$ What was the ratio of chocolate chip cookies sold to brownies sold during the first hour of the bake sale? (1) The average price for the items sold during...

#### A $$2$$-year certificate of deposit is purchased for $$k$$ dollars. If the certificate earns interest at an annual rate

##### A $$2$$-year certificate of deposit is purchased for $$k$$ dollars. If the certificate earns interest at an annual rate

A $$2$$-year certificate of deposit is purchased for $$k$$ dollars. If the certificate earns interest at an annual rate of $$6$$ percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of $$2$$ years? A. $$k(1.06)^2$$ B. $$k(1.06)^8$$ C. \(k...