## Search found 2898 matches

##### \(x,y\) are positive integers. Find the number of even factors of \(4x^2.\)

\(x,y\) are positive integers. Find the number of even factors of \(4x^2.\)

I. \(x^3-y^3+3xy\) is odd and \(x\) is a prime.

II. \(x^{x+y}\cdot y^{3x}+x^{3y}\) is odd.

Answer: C

Source: e-GMAT

- by Vincen

Wed Feb 23, 2022 3:51 am- Forum: Data Sufficiency
- Topic: \(x,y\) are positive integers. Find the number of even factors of \(4x^2.\)
- Replies:
**0** - Views:
**197**

#### \(\&, \#,\) and \(@\) each represents a different digit, and \(\&\) multiplied by \(\#\) is smaller than \(10.\) What is

###### Problem Solving

##### \(\&, \#,\) and \(@\) each represents a different digit, and \(\&\) multiplied by \(\#\) is smaller than \(10.\) What is

\(\&, \#,\) and \(@\) each represents a different digit, and \(\&\) multiplied by \(\#\) is smaller than \(10.\) What is the value of the two-digit number \(\&\#\) if the following multiplication problem is true: \(\&\#\cdot \#\& = \#@\#\) (A) 11 (B) 12 (C) 13 (D) 21 (E) 31 Answe...

- by Vincen

Fri Feb 11, 2022 3:23 am- Forum: Problem Solving
- Topic: \(\&, \#,\) and \(@\) each represents a different digit, and \(\&\) multiplied by \(\#\) is smaller than \(10.\) What is
- Replies:
**0** - Views:
**199**

##### If \(x\) and \(y\) are non-zero integers and \(|x| + |y| = 32,\) what is \(xy?\)

If \(x\) and \(y\) are non-zero integers and \(|x| + |y| = 32,\) what is \(xy?\)

(1) \(-4x - 12y = 0\)

(2) \(|x| - |y| = 16\)

Answer: A

Source: Manhattan GMAT

- by Vincen

Fri Feb 11, 2022 3:20 am- Forum: Data Sufficiency
- Topic: If \(x\) and \(y\) are non-zero integers and \(|x| + |y| = 32,\) what is \(xy?\)
- Replies:
**0** - Views:
**174**

#### If \(x^{a+3}=y^{b+2},\) where \(x\) and \(y\) are distinct prime numbers, what is the value of \(ab?\)

###### Problem Solving

##### If \(x^{a+3}=y^{b+2},\) where \(x\) and \(y\) are distinct prime numbers, what is the value of \(ab?\)

If \(x^{a+3}=y^{b+2},\) where \(x\) and \(y\) are distinct prime numbers, what is the value of \(ab?\)

A. -6

B. 0

C. 5

D. 6

E. It cannot be determined from the information provided.

Answer: D

Source: Princeton Review

- by Vincen

Fri Feb 11, 2022 3:18 am- Forum: Problem Solving
- Topic: If \(x^{a+3}=y^{b+2},\) where \(x\) and \(y\) are distinct prime numbers, what is the value of \(ab?\)
- Replies:
**1** - Views:
**284**

##### Is the number \(x\) positive?

Is the number \(x\) positive?

(1) On the number line, \(0\) is closer to \(x - 1\) than to \(x.\)

(2) On the number line, \(0\) is closer to \(x\) than to \(x + 1.\)

Answer: A

Source: Manhattan GMAT

- by Vincen

Fri Feb 11, 2022 3:17 am- Forum: Data Sufficiency
- Topic: Is the number \(x\) positive?
- Replies:
**1** - Views:
**224**

#### At a family summer party, each of the \(x\) members of the family chose whether or not to have a hamburger and whether

###### Problem Solving

##### At a family summer party, each of the \(x\) members of the family chose whether or not to have a hamburger and whether

At a family summer party, each of the \(x\) members of the family chose whether or not to have a hamburger and whether or not to have a hotdog. If \(\dfrac13\) chose to have a hamburger, and of those \(\dfrac17\) chose to also have a hotdog, then how many family members chose NOT to have both? A. \(...

- by Vincen

Fri Feb 11, 2022 3:15 am- Forum: Problem Solving
- Topic: At a family summer party, each of the \(x\) members of the family chose whether or not to have a hamburger and whether
- Replies:
**1** - Views:
**250**

##### Is \(|x + 1| + |x - 2| < 4 ?\)

Is \(|x + 1| + |x - 2| < 4 ?\)

(1) \(x\) is between \(-0.5\) and \(4.\)

(2) \(x\) is between \(-2\) and \(2.5.\)

Answer: C

Source: Manhattan GMAT

- by Vincen

Fri Feb 11, 2022 3:13 am- Forum: Data Sufficiency
- Topic: Is \(|x + 1| + |x - 2| < 4 ?\)
- Replies:
**0** - Views:
**179**

#### In a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % of women are homeowners.

###### Problem Solving

##### In a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % of women are homeowners.

In a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % of women are homeowners. What is the least number of members who are homeowners?

A. 49

B. 47

C. 45

D. 43

E. 41

Answer: E

Source: Official Guide

- by Vincen

Fri Jan 28, 2022 5:13 am- Forum: Problem Solving
- Topic: In a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % of women are homeowners.
- Replies:
**1** - Views:
**217**

#### In a sequence of terms in which each term is three times the previous term, what is the fourth term?

###### Data Sufficiency

##### In a sequence of terms in which each term is three times the previous term, what is the fourth term?

In a sequence of terms in which each term is three times the previous term, what is the fourth term?

(1) The first term is \(3.\)

(2) The second-to-last term is \(3^{10.}\)

Answer: A

Source: Manhattan GMAT

- by Vincen

Fri Jan 28, 2022 5:11 am- Forum: Data Sufficiency
- Topic: In a sequence of terms in which each term is three times the previous term, what is the fourth term?
- Replies:
**0** - Views:
**183**

#### For a party, three solid cheese balls with diameters of \(2\) inches, \(4\) inches, and \(6\) inches, respectively, were

###### Problem Solving

##### For a party, three solid cheese balls with diameters of \(2\) inches, \(4\) inches, and \(6\) inches, respectively, were

For a party, three solid cheese balls with diameters of \(2\) inches, \(4\) inches, and \(6\) inches, respectively, were combined to form a single cheese ball. What was the approximate diameter, in inches, of the new cheese ball? (The volume of a sphere is \(\dfrac43\pi r^3,\) where \(r\) is the rad...

- by Vincen

Fri Jan 28, 2022 5:10 am- Forum: Problem Solving
- Topic: For a party, three solid cheese balls with diameters of \(2\) inches, \(4\) inches, and \(6\) inches, respectively, were
- Replies:
**0** - Views:
**171**

#### Set \(X\) consists of exactly four distinct integers that are greater than \(1.\) For each integer in the set, all of

###### Data Sufficiency

##### Set \(X\) consists of exactly four distinct integers that are greater than \(1.\) For each integer in the set, all of

Set \(X\) consists of exactly four distinct integers that are greater than \(1.\) For each integer in the set, all of that integer’s unique prime factors are also in the set. For example, if \(20\) is in set \(X,\) then \(2\) and \(5\) must also be in set \(X.\) How many of the distinct integers in ...

- by Vincen

Fri Jan 28, 2022 5:04 am- Forum: Data Sufficiency
- Topic: Set \(X\) consists of exactly four distinct integers that are greater than \(1.\) For each integer in the set, all of
- Replies:
**0** - Views:
**172**

#### A set of 12 test scores has an average of 500 and a standard deviation of 50. Which of the following sets of additional

###### Problem Solving

##### A set of 12 test scores has an average of 500 and a standard deviation of 50. Which of the following sets of additional

A set of 12 test scores has an average of 500 and a standard deviation of 50. Which of the following sets of additional test scores, when combined with the original set of 12 test scores, must result in a combined data set with a standard deviation less than 50? (A) 6 test scores with an average of ...

- by Vincen

Fri Jan 28, 2022 5:00 am- Forum: Problem Solving
- Topic: A set of 12 test scores has an average of 500 and a standard deviation of 50. Which of the following sets of additional
- Replies:
**0** - Views:
**184**

#### Two pieces of fruit are selected out of a group of 8 pieces of fruit consisting only of apples and bananas. What is the

###### Data Sufficiency

##### Two pieces of fruit are selected out of a group of 8 pieces of fruit consisting only of apples and bananas. What is the

Two pieces of fruit are selected out of a group of 8 pieces of fruit consisting only of apples and bananas. What is the probability of selecting exactly 2 bananas? (1) The probability of selecting exactly 2 apples is greater than 1/2. (2) The probability of selecting 1 apple and 1 banana in either o...

- by Vincen

Fri Jan 28, 2022 4:58 am- Forum: Data Sufficiency
- Topic: Two pieces of fruit are selected out of a group of 8 pieces of fruit consisting only of apples and bananas. What is the
- Replies:
**0** - Views:
**163**

#### For all positive integers \(n,\) the sequence \(A_n\) is defined by the following relationship:

###### Problem Solving

##### For all positive integers \(n,\) the sequence \(A_n\) is defined by the following relationship:

For all positive integers \(n,\) the sequence \(A_n\) is defined by the following relationship: \(A_n=\dfrac{n-1}{n!}.\) What is the sum of all the terms in the sequence from \(A_1\) through \(A_{10},\) inclusive? (A) \(\dfrac{9!+1}{10!}\) (B) \(\dfrac{9(9!)}{10!}\) (C) \(\dfrac{10!-1}{10!}\) (D) \(...

- by Vincen

Fri Jan 28, 2022 4:56 am- Forum: Problem Solving
- Topic: For all positive integers \(n,\) the sequence \(A_n\) is defined by the following relationship:
- Replies:
**0** - Views:
**183**

#### If \(a\) and \(b\) are nonzero numbers on the number line, is \(0\) between \(a\) and \(b?\)

###### Data Sufficiency

##### If \(a\) and \(b\) are nonzero numbers on the number line, is \(0\) between \(a\) and \(b?\)

If \(a\) and \(b\) are nonzero numbers on the number line, is \(0\) between \(a\) and \(b?\) (1) The distance between \(0\) and \(a\) is greater than the distance between \(0\) and \(b.\) (2) The sum of the distances between \(0\) and \(a\) and between \(0\) and \(b\) is greater than the distance be...

- by Vincen

Fri Jan 28, 2022 4:53 am- Forum: Data Sufficiency
- Topic: If \(a\) and \(b\) are nonzero numbers on the number line, is \(0\) between \(a\) and \(b?\)
- Replies:
**0** - Views:
**164**