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From 7 boys and 4 girls, how many different committees can be selected consisting of 3 boys and 2 girls?
Problem Solving
Re: From 7 boys and 4 girls, how many different committees can be selected consisting of 3 boys and 2 girls?
From 7 boys and 4 girls, how many different committees can be selected consisting of 3 boys and 2 girls? A. 108 B. 168 C. 210 D. 330 E. 462 Answer: C Source: Kaplan # of committees = 7C3*4C2 = [7.6.5/1.2.3]*[4.3/1.2] = 210 Correct answer: C Hope this helps! -Jay _________________ Manhattan Review G...
- by Jay@ManhattanReview
Wed Jul 22, 2020 12:38 am- Forum: Problem Solving
- Topic: From 7 boys and 4 girls, how many different committees can be selected consisting of 3 boys and 2 girls?
- Replies: 2
- Views: 957
One-fifth of the students at a nursery school are 4 years old or older. If 16 students have not yet reached their...
Problem Solving
Re: One-fifth of the students at a nursery school are 4 years old or older. If 16 students have not yet reached their...
Princeton Review One-fifth of the students at a nursery school are 4 years old or older. If 16 students have not yet reached their third birthday and a total of 40 students are not between 3 years old and 4 years old, how many children are in the nursery school? A. 120 B. 96 C. 70 D. 60 E. 24 OA A ...
- by Jay@ManhattanReview
Wed Jul 22, 2020 12:32 am- Forum: Problem Solving
- Topic: One-fifth of the students at a nursery school are 4 years old or older. If 16 students have not yet reached their...
- Replies: 1
- Views: 331
John and Mark each own a collection of baseball cards. The two collections combined contain 120 cards.
Problem Solving
Re: John and Mark each own a collection of baseball cards. The two collections combined contain 120 cards.
John and Mark each own a collection of baseball cards. The two collections combined contain 120 cards. If John were to trade 5 cards to Mark and receive 2 of Mark’s cards in return, John would have 22 more cards than Mark does. How many cards does Mark possess before the proposed trade? A. 85 B. 74...
- by Jay@ManhattanReview
Tue Jul 21, 2020 10:43 pm- Forum: Problem Solving
- Topic: John and Mark each own a collection of baseball cards. The two collections combined contain 120 cards.
- Replies: 1
- Views: 335
How many different 3-digit numbers are greater than 299 and do not contain the digits 1, 6, or 8?
Problem Solving
Re: How many different 3-digit numbers are greater than 299 and do not contain the digits 1, 6, or 8?
How many different 3-digit numbers are greater than 299 and do not contain the digits 1, 6, or 8? (A) 222 (B) 245 (C) 291 (D) 315 (E) 343 Answer: B Source: Magoosh The 3-digit numbers are greater than 299 are from 300 to 999, i.e. a total of 700 numbers. *# of ways to fill hundreds digit = 5; only ...
- by Jay@ManhattanReview
Tue Jul 21, 2020 5:40 am- Forum: Problem Solving
- Topic: How many different 3-digit numbers are greater than 299 and do not contain the digits 1, 6, or 8?
- Replies: 3
- Views: 671
Of the three-digit integers greater than 700, how many have two digits that are equal to each other and the remaining di
Problem Solving
Re: Of the three-digit integers greater than 700, how many have two digits that are equal to each other and the remainin
Of the three-digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two? (A) 90 (B) 82 (C) 80 (D) 45 (E) 36 Answer: C Source: Official guide Let's count the numbers from 701 to 799; then from 800 to 899 and then from 9...
- by Jay@ManhattanReview
Tue Jul 21, 2020 4:55 am- Forum: Problem Solving
- Topic: Of the three-digit integers greater than 700, how many have two digits that are equal to each other and the remaining di
- Replies: 3
- Views: 642
Re: The area of triangle PQR is what fraction of the area of triangle LMN?
GMAT Prep Coordinate.jpg In the rectangular coordinate system above, the area of triangle PQR is what fraction of the area of triangle LMN? A. 1/9 B. 1/8 C. 1/6 D. 1/5 E. 1/3 OA A Correct answer: A Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Prep | ACT Prep | ...
- by Jay@ManhattanReview
Tue Jul 21, 2020 4:32 am- Forum: Problem Solving
- Topic: The area of triangle PQR is what fraction of the area of triangle LMN?
- Replies: 1
- Views: 584
Re: Fractions/Ratios/Decimals
At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:80. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants? A. 130 B. 131 C. 132 D. 133 E. 134 The OA...
- by Jay@ManhattanReview
Tue Jul 21, 2020 4:13 am- Forum: Problem Solving
- Topic: Fractions/Ratios/Decimals
- Replies: 1
- Views: 329
Re: Work/Rate Problems
Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 36 hours. If one additional machine were used under the same operating conditions, in how many fewer hours of simultaneous operation could the production order be fulfilled? ...
- by Jay@ManhattanReview
Tue Jul 21, 2020 4:06 am- Forum: Problem Solving
- Topic: Work/Rate Problems
- Replies: 1
- Views: 447
Re: A sum of money is to be divided among Ann, Bob and Chloe.
A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money did Bob receive? A) 20 B) 22 C) 24 D) 26 E) 52 Answer: A Source: Magoosh Sa...
- by Jay@ManhattanReview
Mon Jul 20, 2020 1:13 am- Forum: Problem Solving
- Topic: A sum of money is to be divided among Ann, Bob and Chloe.
- Replies: 3
- Views: 441
Re: When the integer n is divided by 17, the quotient is x and the remainder is 5.
When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 14. Which of the following is true? (A) 23x + 17y =19 (B) 17x –23y = 9 (C) 17x +23y =19 (D) 14x + 5y = 6 (E) 5x – 14y = -6 Answer: B Source: Official guide ...
- by Jay@ManhattanReview
Mon Jul 20, 2020 1:00 am- Forum: Problem Solving
- Topic: When the integer n is divided by 17, the quotient is x and the remainder is 5.
- Replies: 3
- Views: 758
When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k?
Problem Solving
Re: When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k?
When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k? A. 5 B. 7 C. 11 D. 14 E. 21 Answer: B Source: Veritas Say k = 35q + 14; where q is a positive integer => k = 7(5q + 2) => k must be divisible by 7. Sufficient. Correct answer: B Hope this h...
- by Jay@ManhattanReview
Mon Jul 20, 2020 12:57 am- Forum: Problem Solving
- Topic: When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k?
- Replies: 3
- Views: 640
If n is an integer greater than 10, then the expression (n^2 - 2n)(n + 1)(n - 1) MUST be divisible by which of the follo
Problem Solving
Re: If n is an integer greater than 10, then the expression (n^2 - 2n)(n + 1)(n - 1) MUST be divisible by which of the f
If n is an integer greater than 10, then the expression (n^2 - 2n)(n + 1)(n - 1) MUST be divisible by which of the following? I. 4 II. 6 III. 18 A. I only B. II only C. I and II only D. II and III only E. I, II, and III Answer: C Source: Magoosh So, we have (n^2 – 2n)(n + 1)(n – 1), which can be wr...
- by Jay@ManhattanReview
Mon Jul 20, 2020 12:52 am- Forum: Problem Solving
- Topic: If n is an integer greater than 10, then the expression (n^2 - 2n)(n + 1)(n - 1) MUST be divisible by which of the follo
- Replies: 2
- Views: 422
What was the percent increase in the value of a certain antique from January 1, 1981, to December 31, 1981?
Problem Solving
Re: What was the percent increase in the value of a certain antique from January 1, 1981, to December 31, 1981?
What was the percent increase in the value of a certain antique from January 1, 1981, to December 31, 1981? (1) The value of the antique on January 1, 1981, was $3,000. (2) The value of the antique on December 31, 1981, was double the value of the antique on January 1, 1981. Answer: B Source: GMAT ...
- by Jay@ManhattanReview
Mon Jul 20, 2020 12:42 am- Forum: Problem Solving
- Topic: What was the percent increase in the value of a certain antique from January 1, 1981, to December 31, 1981?
- Replies: 2
- Views: 434
Re: If Polygon X has fewer than 9 sides, how many sides does Polygon X have?
If Polygon X has fewer than 9 sides, how many sides does Polygon X have? (1) The sum of the interior angles of Polygon X is divisible by 16. (2) The sum of the interior angles of Polygon X is divisible by 15 Answer: A Source: Manhattan prep Let's take each statement one by one. (1) The sum of the i...
- by Jay@ManhattanReview
Mon Jul 20, 2020 12:35 am- Forum: Problem Solving
- Topic: If Polygon X has fewer than 9 sides, how many sides does Polygon X have?
- Replies: 2
- Views: 365
Re: If x is a positive integer, what is the least common multiple of x, 6 and 9?
If x is a positive integer, what is the least common multiple of x, 6 and 9? (1) The least common multiple of x and 6 is 30. (2) The least common multiple of x and 9 is 45. Answer: D Source: Manhattan prep one So, we have to find the least common multiple of x, 6 and 9. Note that 6 can be prime fac...
- by Jay@ManhattanReview
Sun Jul 19, 2020 11:38 pm- Forum: Problem Solving
- Topic: If x is a positive integer, what is the least common multiple of x, 6 and 9?
- Replies: 1
- Views: 337