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