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At the start of 2015, Jane opened two new accounts – X and Y – to invest her total savings of $1000. She invested
Data Sufficiency
Re: At the start of 2015, Jane opened two new accounts – X and Y – to invest her total savings of $1000. She invested
Even if she invests the maximum Statement 1 allows, namely $300, at 8% interest, and the remaining $700 at 6%, the 8% account won't earn anywhere close to the interest earned by the 6% account, so Statement 1 is sufficient. Clearly the more she invests at 8%, the more interest she earns. So if we kn...
- by Ian Stewart
Tue Feb 11, 2020 1:15 pm- Forum: Data Sufficiency
- Topic: At the start of 2015, Jane opened two new accounts – X and Y – to invest her total savings of $1000. She invested
- Replies: 1
- Views: 457
The ratio of men to women in a class is 6 to 5. If 2 men and 1 woman drop out of the class and the ratio of men to women
Problem Solving
Re: The ratio of men to women in a class is 6 to 5. If 2 men and 1 woman drop out of the class and the ratio of men to w
If the ratio of men to women is 6 to 5, the number of men must be a multiple of 6. Only one answer is a multiple of 6, namely 18, so that has to be right.
- by Ian Stewart
Tue Feb 11, 2020 12:47 pm- Forum: Problem Solving
- Topic: The ratio of men to women in a class is 6 to 5. If 2 men and 1 woman drop out of the class and the ratio of men to women
- Replies: 3
- Views: 778
All of the students of Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 119 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only? A. 30 B. 51 C. 60 D. 85 E. 11 OA i...
- by Ian Stewart
Tue Sep 03, 2019 12:34 pm- Forum: Problem Solving
- Topic: Arithmetic
- Replies: 2
- Views: 939
Someone driving at 60 mph for 2.5 hours will drive a total of (2.5)(60) = 150 miles. If that distance corresponds to 5 inches on the map, then the scale of the map is 5 inches per 150 miles, or 1 inch per 30 miles, so 1/30 is the answer. That's assuming he drove in a straight line, which is somethin...
- by Ian Stewart
Tue Sep 03, 2019 12:25 pm- Forum: Problem Solving
- Topic: Before leaving home for the town of Madison, Pete checks a
- Replies: 2
- Views: 670
A string of 5 different colored light bulbs is wired in such a way that if any two-consecutive light bulb fails, then entire string fails. If for each individual light bulb, the probability of not failing during time period T is 0.85, what is the probability that the string of light bulbs will fail...
- by Ian Stewart
Fri Aug 30, 2019 7:40 am- Forum: Problem Solving
- Topic: A string of 5 different colored light bulbs is wired in
- Replies: 3
- Views: 872
Statement 1 tells us the number is 30 greater than a multiple of 45, so it is 30 greater than a multiple of 5, and must be itself a multiple of 5. So the remainder will be zero when we divide the number by 5, and Statement 1 is sufficient. Using Statement 2, we know we get a remainder of 3 when we d...
- by Ian Stewart
Thu Aug 29, 2019 6:31 am- Forum: Data Sufficiency
- Topic: If a certain positive integer is divided by 9, the remainder
- Replies: 1
- Views: 575
Most of the information in the stem is irrelevant, so I'm not sure why it's there, but we have no information, even using both Statements, about the magenta cable, so we can't answer any question about the sum or average of all four of the cables. So the answer is E.
- by Ian Stewart
Thu Aug 29, 2019 6:23 am- Forum: Data Sufficiency
- Topic: An Internet supplier has 4 international cables. Each cable
- Replies: 2
- Views: 667
Statement 1 tells us that a is the cube root of some integer. Sometimes cube roots of integers are themselves integers, and sometimes not, so Statement 1 is not sufficient. Statement 2 tells us that the cube root of a is an integer, so a itself will be the cube of an integer, and must therefore be a...
- by Ian Stewart
Tue Aug 27, 2019 9:03 am- Forum: Data Sufficiency
- Topic: Is a an integer?
- Replies: 2
- Views: 671
We have y+4 yellow balls and r+3 red balls, and r+y+7 balls in total. So the probability of picking, with replacement, first a yellow then a red ball will be (y+4)/(r+y+7) * (r+3)/(r+y+7), which is answer A.
- by Ian Stewart
Sun Aug 25, 2019 8:18 am- Forum: Problem Solving
- Topic: There were \(r\) red balls and \(y\) yellow balls in a bag.
- Replies: 3
- Views: 603
Abigail will be 36 in four years, so Abigail is 32. She is 4 times as old as Bonnie, so Bonnie is 8. In six years, Bonnie will be 14, and will be twice as old as Candice, so in six years, Candice will be 7, which is what the question asked us to find.
- by Ian Stewart
Sun Aug 25, 2019 8:13 am- Forum: Problem Solving
- Topic: Abigail is 4 times as old as Bonnie. In 6 years, Bonnie will
- Replies: 3
- Views: 568
It's not clear what the question is asking - does the customer have the option to omit either toppings or cheese, or can she omit both? How many toppings are allowed on a pizza? Based on the answer choices, I can guess what they intend: a customer can pick one crust, one cheese, and one topping, but...
- by Ian Stewart
Sat Aug 24, 2019 7:40 am- Forum: Problem Solving
- Topic: A pizza can be assembled from given choices, with customers'
- Replies: 4
- Views: 706
If every digit of r is 1, then the number of digits of r will be equal to the sum of the digits of r. If, as Statement 1 tells us, the number of digits of r is a multiple of 3, then the sum of r's digits is a multiple of 3, and r is divisible by 3. Since r is not equal to 3, r cannot be prime, and S...
- by Ian Stewart
Sat Aug 24, 2019 7:28 am- Forum: Data Sufficiency
- Topic: A repunit is a positive integer that contains only the digit
- Replies: 2
- Views: 546
In case this is confusing for anyone reading, I'm sure this is meant to say "Since 2y is even irrespective of whether y is even or odd".Jay@ManhattanReview wrote: (1) x + 2y is odd.
1. Since 2y is odd irrespective of whether y is even and odd
- by Ian Stewart
Fri Aug 23, 2019 6:33 am- Forum: Data Sufficiency
- Topic: If x and y are integers, is x + y even? (1) x + 2y is odd.
- Replies: 2
- Views: 1355
Alternatively, if we let the bulbs flash forever, we'll cycle through all eight numbers, then the pattern will start to repeat. So the last number we'd get in that cycle before getting back to "1" must be three numbers before "1" in the circle, and thus must be "6".
- by Ian Stewart
Thu Aug 22, 2019 5:48 am- Forum: Problem Solving
- Topic: Eight light bulbs numbered 1 through 8 are arranged in a
- Replies: 4
- Views: 697
This is just an inferior copy of an official question (inferior because it doesn't include a diagram, which the GMAT would include, and because it's needlessly wordy) :
https://gmatclub.com/forum/in-the-recta ... 29092.html
- by Ian Stewart
Wed Aug 21, 2019 7:03 am- Forum: Data Sufficiency
- Topic: In the \(xy-\)plane, point \(O\) is located at the origin,
- Replies: 2
- Views: 536