## Search found 5717 matches

#### The average (arithmetic mean) of four numbers is 5.5. When an additional number is included, the average of all five num

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##### Re: The average (arithmetic mean) of four numbers is 5.5. When an additional number is included, the average of all five

The average (arithmetic mean) of four numbers is 5.5. When an additional number is included, the average of all five numbers is 6. What is the additional number? A. 5.75 B. 6.5 C. 8.0 D. 22.0 E. 30.0 Answer: C Solution: The sum of the original four numbers is 5.5 x 4 = 22, and the sum of the four n...

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Mon Nov 30, 2020 10:52 am- Forum: Problem Solving
- Topic: The average (arithmetic mean) of four numbers is 5.5. When an additional number is included, the average of all five num
- Replies:
**2** - Views:
**43**

##### Re: If \(m\) and \(n\) are negative integers, which of the following must be true?

If \(m\) and \(n\) are negative integers, which of the following must be true? I. \(m + n < 0\) II. \(mn > 0\) III. \(mn > n\) A. I only B. II only C. I and II D. I and III E. I, II, and III Answer: E Source: Princeton Review Solution: Since the sum of the two negative numbers is negative, we see t...

- by [email protected]

Mon Nov 30, 2020 10:51 am- Forum: Problem Solving
- Topic: If \(m\) and \(n\) are negative integers, which of the following must be true?
- Replies:
**1** - Views:
**40**

#### Jack and Jill have a certain number of apples with them. The total number of apples with both of them is less than 80...

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##### Re: Jack and Jill have a certain number of apples with them. The total number of apples with both of them is less than 8

Source: E-GMAT Jack and Jill have a certain number of apples with them. The total number of apples with both of them is less than 80. If Jill gives a certain number of apples to Jack, then Jack will have four times the number of apples Jill has. If Jack gives the same number of apples to Jill, then...

- by [email protected]

Mon Nov 30, 2020 10:50 am- Forum: Problem Solving
- Topic: Jack and Jill have a certain number of apples with them. The total number of apples with both of them is less than 80...
- Replies:
**1** - Views:
**34**

#### 3 groups of 7 numbers each are made from positive integers from 1 to 21, inclusive. What is the highest...

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##### Re: 3 groups of 7 numbers each are made from positive integers from 1 to 21, inclusive. What is the highest...

Source: E-GMAT 3 groups of 7 numbers each are made from positive integers from 1 to 21, inclusive. What is the highest possible median of the medians of these 3 groups? A. 10 B. 11 C. 12 D. 14 E. 17.5 The OA is D Solution: Let A, B, C be the 3 sets and a, b and c be their medians, respectively. For...

- by [email protected]

Mon Nov 30, 2020 10:49 am- Forum: Problem Solving
- Topic: 3 groups of 7 numbers each are made from positive integers from 1 to 21, inclusive. What is the highest...
- Replies:
**1** - Views:
**34**

#### There are between 100 and 110 cards in a collection of cards. If they are counted out 3 at a time, there...

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##### Re: There are between 100 and 110 cards in a collection of cards. If they are counted out 3 at a time, there...

GMAT Paper Tests There are between 100 and 110 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection? A. 101 B. 103 C. 106 D. 107 E. 109 OA A Solution: Since the...

- by [email protected]

Mon Nov 30, 2020 10:47 am- Forum: Problem Solving
- Topic: There are between 100 and 110 cards in a collection of cards. If they are counted out 3 at a time, there...
- Replies:
**1** - Views:
**31**

#### For all real numbers v, the operation is defined by the equation v* = v - v/3. If (v*)* = 8, then v=

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##### Re: For all real numbers v, the operation is defined by the equation v* = v - v/3. If (v*)* = 8, then v=

GMAT Paper Tests For all real numbers v, the operation is defined by the equation v* = v - v/3. If (v*)* = 8, then v= A. 15 B. 18 C. 21 D. 24 E. 27 OA B Solution: We can let w = v*; thus, we have (v*)* = w* = 8. That is, w - w/3 = 8 2w/3 = 8 w = 8 x 3/2 = 12 Now, we have v* = 12, or: v - v/3 = 12 2...

- by [email protected]

Mon Nov 30, 2020 10:47 am- Forum: Problem Solving
- Topic: For all real numbers v, the operation is defined by the equation v* = v - v/3. If (v*)* = 8, then v=
- Replies:
**1** - Views:
**39**

#### In triangle ABC, side AB is perpendicular to side BC. If angle CAB is greater than 45 degrees, then which of the

###### Problem Solving

##### Re: In triangle ABC, side AB is perpendicular to side BC. If angle CAB is greater than 45 degrees, then which of the

In triangle ABC, side AB is perpendicular to side BC. If angle CAB is greater than 45 degrees, then which of the following could be the value of angle ACB? A. 75° B. 65° C. 55° D. 45° E. 35° OA E Solution: Since AB is perpendicular to B, we see that triangle ABC is a right triangle with right angle...

- by [email protected]

Mon Nov 30, 2020 10:46 am- Forum: Problem Solving
- Topic: In triangle ABC, side AB is perpendicular to side BC. If angle CAB is greater than 45 degrees, then which of the
- Replies:
**2** - Views:
**63**

#### A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l liters

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##### Re: A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l lite

A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l liters of molasses when full. If the machine draws m liters of molasses from the supply take in s seconds and no additional molasses is added to the tank, how many minutes will it take th...

- by [email protected]

Mon Nov 30, 2020 10:44 am- Forum: Problem Solving
- Topic: A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l liters
- Replies:
**2** - Views:
**49**

#### x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y

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##### Re: x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and

x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y is a multiple of 17. Which of the following could be the value of x – y? A. –19 B. –7 C. 0 D. 4 E. 9 OA C Source: Princeton Review Solution: If x = 3^2 + 5^2 = 34 and y = 34, we see...

- by [email protected]

Mon Nov 30, 2020 10:43 am- Forum: Problem Solving
- Topic: x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y
- Replies:
**2** - Views:
**114**

#### Each of the even-numbered terms in a certain sequenceis formed by multiplying the preceding term...

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##### Re: Each of the even-numbered terms in a certain sequenceis formed by multiplying the preceding term...

Princeton Review Each of the even-numbered terms in a certain sequence is formed by multiplying the preceding term by –1. Each of the odd-numbered terms in the sequence is formed by adding 3 to the preceding term. If the first term in the sequence is 3, then what is the 168th term? A. -3 B. -1 C. 0...

- by [email protected]

Mon Nov 30, 2020 10:42 am- Forum: Problem Solving
- Topic: Each of the even-numbered terms in a certain sequenceis formed by multiplying the preceding term...
- Replies:
**2** - Views:
**44**

##### Re: a PS from Gmat

Diana is going on a school trip along with her two brothers, Bruce and Clerk. The students are to be randomly assigned into 3 groups, with each group leaving at a different time. What is the probability that DIana leaves at the same time as AT LEAST on her bothers? a) 1/27 b) 4/27 c) 5/27 d) 4/9 e)...

- by [email protected]

Mon Nov 30, 2020 10:32 am- Forum: Problem Solving
- Topic: a PS from Gmat
- Replies:
**2** - Views:
**953**

#### At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.25 to bowl 1 game. If a person has

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##### Re: At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.25 to bowl 1 game. If a person h

At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.25 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day? (A) 7 (B) 8 (C) 9 (D) 10 (E) 11 Answer: C Source: Official Guide Solution...

- by [email protected]

Mon Nov 30, 2020 9:31 am- Forum: Problem Solving
- Topic: At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.25 to bowl 1 game. If a person has
- Replies:
**1** - Views:
**43**

#### A circus clown is entertaining kids by making balloon animals. The clown can make any one of the following animals: gira

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##### Re: A circus clown is entertaining kids by making balloon animals. The clown can make any one of the following animals:

A circus clown is entertaining kids by making balloon animals. The clown can make any one of the following animals: giraffe, dog, elephant, or monkey. The clown has five colors of balloons to choose from: red, yellow, blue, green, and purple. If the clown is just as likely to make any one of the an...

- by [email protected]

Mon Nov 30, 2020 9:30 am- Forum: Problem Solving
- Topic: A circus clown is entertaining kids by making balloon animals. The clown can make any one of the following animals: gira
- Replies:
**1** - Views:
**73**

#### A football team averaged 35 points per game over the first \(n\) games of the season. After scoring 28 points in the

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##### Re: A football team averaged 35 points per game over the first \(n\) games of the season. After scoring 28 points in the

A football team averaged 35 points per game over the first \(n\) games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play? A. 5 B. 6 C. 7 D. 9 E. 12 Answer: C Solution: Let n be the number of games the team playe...

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Mon Nov 30, 2020 9:29 am- Forum: Problem Solving
- Topic: A football team averaged 35 points per game over the first \(n\) games of the season. After scoring 28 points in the
- Replies:
**2** - Views:
**48**

#### A single slice cut from the center of a circular pizza has an edge length (from the center of the pizza to the edge of

###### Problem Solving

##### Re: A single slice cut from the center of a circular pizza has an edge length (from the center of the pizza to the edge

A single slice cut from the center of a circular pizza has an edge length (from the center of the pizza to the edge of the crust) of 5″, has an arc length of 1.25π″, and weighs 4 ounces. If a serving weighs 8 ounces, then, to the nearest integer, what is the largest number of servings that six 6″ d...

- by [email protected]

Mon Nov 30, 2020 9:27 am- Forum: Problem Solving
- Topic: A single slice cut from the center of a circular pizza has an edge length (from the center of the pizza to the edge of
- Replies:
**1** - Views:
**41**