Search found 3008 matches
Re: To mail a package, the rate is x cents for the first pound and y cents
To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x > y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved? (A) Combined, with a s...
- by Jay@ManhattanReview
Thu Jul 23, 2020 8:57 pm- Forum: Problem Solving
- Topic: To mail a package, the rate is x cents for the first pound and y cents
- Replies: 4
- Views: 509
Re: How many positive integers less than 100 are neither multiples of 2 or 3.
How many positive integers less than 100 are neither multiples of 2 or 3. A) 30 B) 31 C) 32 D) 33 E) 34 Answer: D Source: GMAT prep Total no. of positive integers less than 100 = 99; we have to exclude the no. of positive integers that are multiples of 2 or 3. So, let's count them. No. of multiples...
- by Jay@ManhattanReview
Thu Jul 23, 2020 8:51 pm- Forum: Problem Solving
- Topic: How many positive integers less than 100 are neither multiples of 2 or 3.
- Replies: 6
- Views: 1903
Re: At an elite baseball camp, 60% of players can bat both right-handed
At an elite baseball camp, 60% of players can bat both right-handed and left-handed. If 25% of the players who bat left-handed do not bat right-handed, what is the probability that a player selected at random does not bat left-handed? A.15% B. 20% C. 25% D. 30% E. 40% Answer: B Source: Veritas Prep...
- by Jay@ManhattanReview
Thu Jul 23, 2020 8:42 pm- Forum: Problem Solving
- Topic: At an elite baseball camp, 60% of players can bat both right-handed
- Replies: 5
- Views: 509
A bag contains pieces worth 3,5 and 11 points,respectievly. During a turn, a player selects upto 10 pieces at random
Problem Solving
Re: A bag contains pieces worth 3,5 and 11 points,respectievly. During a turn, a player selects upto 10 pieces at random
A bag contains pieces worth 3, 5, and 11 points, respectively. During a turn, a player selects up to 10 pieces at random from the bag. The player's score for the turn is found by taking the product of the point values of each selected piece. If Jake's score for a turn is 12375, how many total piece...
- by Jay@ManhattanReview
Thu Jul 23, 2020 8:30 pm- Forum: Problem Solving
- Topic: A bag contains pieces worth 3,5 and 11 points,respectievly. During a turn, a player selects upto 10 pieces at random
- Replies: 2
- Views: 399
At 1:00, Jack starts to bicycle along a 60-mile road at a constant speed of 15 miles per hour. Thirty minutes earlier,
Problem Solving
Re: At 1:00, Jack starts to bicycle along a 60-mile road at a constant speed of 15 miles per hour. Thirty minutes earlie
At 1:00, Jack starts to bicycle along a 60-mile road at a constant speed of 15 miles per hour. Thirty minutes earlier, Scott started bicycling towards Jack on the same road at a constant speed of 12 miles per hour. At what time will they meet? A. 1:30 B. 3:00 C. 5:00 D. 6:00 E. 9:00 [spoiler]OA=B[/...
- by Jay@ManhattanReview
Wed Jul 22, 2020 11:28 pm- Forum: Problem Solving
- Topic: At 1:00, Jack starts to bicycle along a 60-mile road at a constant speed of 15 miles per hour. Thirty minutes earlier,
- Replies: 2
- Views: 402
Re: If \(3^{-x}+3^{-x}+3^{-x}=1,\) what is the value of \(x?\)
If \(3^{-x}+3^{-x}+3^{-x}=1,\) what is the value of \(x?\) A. -1 B. -1/2 C. 1/3 D. 1/2 E. 1 [spoiler]OA=E[/spoiler] Source: Magoosh So, we have \(3^{-x}+3^{-x}+3^{-x}=1\) \(3\times3^{-x}=1\) \(3^{-x+1}=3^0\) => -x + 1 = 0 x = 1 Correct answer: E Hope this helps! -Jay _________________ Manhattan Rev...
- by Jay@ManhattanReview
Wed Jul 22, 2020 11:10 pm- Forum: Problem Solving
- Topic: If \(3^{-x}+3^{-x}+3^{-x}=1,\) what is the value of \(x?\)
- Replies: 2
- Views: 451
A sequence is defined by \(s_n=(s_{n-1}-1)(s_{n-2})\) for \(n > 2,\) and it has the starting values of \(s_1=2\) and
Problem Solving
Re: A sequence is defined by \(s_n=(s_{n-1}-1)(s_{n-2})\) for \(n > 2,\) and it has the starting values of \(s_1=2\) and
A sequence is defined by \(s_n=(s_{n-1}-1)(s_{n-2})\) for \(n > 2,\) and it has the starting values of \(s_1=2\) and \(s_2=3.\) Find the value of \(s_6.\) A. 25 B. 32 C. 36 D. 93 E. 279 [spoiler]OA=E[/spoiler] Source: Magoosh Pluggin-in the value of n = 3 in \(s_n=(s_{n-1}-1)(s_{n-2}),\) we get \(s...
- by Jay@ManhattanReview
Wed Jul 22, 2020 10:56 pm- Forum: Problem Solving
- Topic: A sequence is defined by \(s_n=(s_{n-1}-1)(s_{n-2})\) for \(n > 2,\) and it has the starting values of \(s_1=2\) and
- Replies: 2
- Views: 455
If the sequence \(a_n\) is defined as \(a_n=n^2+n+\sqrt{n+3},\) then which of the following values of \(n\) represents
Problem Solving
Re: If the sequence \(a_n\) is defined as \(a_n=n^2+n+\sqrt{n+3},\) then which of the following values of \(n\) represen
If the sequence \(a_n\) is defined as \(a_n=n^2+n+\sqrt{n+3},\) then which of the following values of \(n\) represents the first term such that \(a_n > 500?\) A. 13 B. 22 C. 33 D. 46 E. 78 [spoiler]OA=B[/spoiler] Source: Magoosh So we have \(n^2+n+\sqrt{n+3} > 500\) We have to find out the minimum ...
- by Jay@ManhattanReview
Wed Jul 22, 2020 10:39 pm- Forum: Problem Solving
- Topic: If the sequence \(a_n\) is defined as \(a_n=n^2+n+\sqrt{n+3},\) then which of the following values of \(n\) represents
- Replies: 2
- Views: 502
If a rectangle measuring 4 inches by 12 inches is cut into 3 equal rectangles, as shown above, what is the perimeter, in
Problem Solving
Re: If a rectangle measuring 4 inches by 12 inches is cut into 3 equal rectangles, as shown above, what is the perimeter
1233.jpg If a rectangle measuring 4 inches by 12 inches is cut into 3 equal rectangles, as shown above, what is the perimeter, in inches, of each of the three new rectangles? A. 16/3 B. 32/3 C. 16 D. 24 E. 32 OA C Source: Princeton Review Looking at the image we know the heights of each of the thre...
- by Jay@ManhattanReview
Wed Jul 22, 2020 10:26 pm- Forum: Problem Solving
- Topic: If a rectangle measuring 4 inches by 12 inches is cut into 3 equal rectangles, as shown above, what is the perimeter, in
- Replies: 3
- Views: 590
Re: How many digits are there in the product \(2^{23}\cdot 5^{24}\cdot 7^3?\)
How many digits are there in the product \(2^{23}\cdot 5^{24}\cdot 7^3?\) A. 24 B. 25 C. 26 D. 27 E. 28 [spoiler]OA=D[/spoiler] Source: Veritas Prep Looking at \(2^{23}\cdot 5^{24}\cdot 7^3,\) we find that there are 2s and 5s; a 2 and a 5 make a 10. Since there are 23 2s and 24 5s, the product of 2...
- by Jay@ManhattanReview
Wed Jul 22, 2020 10:14 pm- Forum: Problem Solving
- Topic: How many digits are there in the product \(2^{23}\cdot 5^{24}\cdot 7^3?\)
- Replies: 2
- Views: 431
Re: If x > 1, what is the value of x?
If x > 1, what is the value of x? (1) There are x unique factors of x. (2) The sum of x and any prime number larger than x is odd. OA A Source: Manhattan Prep Let's take each statement one by one. (1) There are x unique factors of x. Given that x > 1, only x = 2 is an integer whose no. of district ...
- by Jay@ManhattanReview
Wed Jul 22, 2020 1:18 am- Forum: Data Sufficiency
- Topic: If x > 1, what is the value of x?
- Replies: 1
- Views: 312
An athlete runs R miles in H hours, then rides a bike Q miles in the same number of hours. Which of the following...
Problem Solving
Re: An athlete runs R miles in H hours, then rides a bike Q miles in the same number of hours. Which of the following...
GMAT Prep An athlete runs R miles in H hours, then rides a bike Q miles in the same number of hours. Which of the following represents the average speed, in miles per hour, for these two activities combined? A. (R-Q)/H B. (R-Q)/2H C. [2(R+Q)]/H D. [2(R+Q)]/2H E. (R+Q)/2H OA E Average speed = Total ...
- by Jay@ManhattanReview
Wed Jul 22, 2020 12:55 am- Forum: Problem Solving
- Topic: An athlete runs R miles in H hours, then rides a bike Q miles in the same number of hours. Which of the following...
- Replies: 1
- Views: 362
Ten telegenic contestants with a variety of personality disorders are to be divided into
Problem Solving
Re: Ten telegenic contestants with a variety of personality disorders are to be divided into
Ten telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of five members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible? A. 120 B. 126 C. 252 D. 1200 E. 1260 Answer: C Source: Princeton Review # of wa...
- by Jay@ManhattanReview
Wed Jul 22, 2020 12:53 am- Forum: Problem Solving
- Topic: Ten telegenic contestants with a variety of personality disorders are to be divided into
- Replies: 2
- Views: 356
10 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books o
Problem Solving
Re: 10 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 boo
10 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type? A. 80 B. 160 C. 720 D. 1100 E. 1260 Answer: E Source: Economist GMAT Required no. of ways = 10C2*8C2 = [10.9/1.2]*[8.7/1.2] = 45*28 = 1,260 Correct answer: E Hope thi...
- by Jay@ManhattanReview
Wed Jul 22, 2020 12:46 am- Forum: Problem Solving
- Topic: 10 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books o
- Replies: 2
- Views: 393
5 people including A and B line up in a row. How many possible cases are there such that at least one person stands betw
Problem Solving
Re: 5 people including A and B line up in a row. How many possible cases are there such that at least one person stands
5 people including A and B line up in a row. How many possible cases are there such that at least one person stands between A and B? A. 24 B. 36 C. 48 D. 60 E. 72 Answer: E Source: Math Revolution Without any constraints, 5 people can line up in 5! = 120 ways. Let's take AB together 4; thus, there ...
- by Jay@ManhattanReview
Wed Jul 22, 2020 12:44 am- Forum: Problem Solving
- Topic: 5 people including A and B line up in a row. How many possible cases are there such that at least one person stands betw
- Replies: 2
- Views: 429