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Subject
The charge for a telephone call between City R and City S is $0.42 for each of the first 3 minutes and $0.18 for each additional minute. A certain call between these two cities lasted for x minutes, where x is an integer. How many minutes long was the call? (1) The charge for the first 3 minutes of ...
- by ErikaPrepScholar
Sat Mar 31, 2018 3:32 pm- Forum: Data Sufficiency
- Topic: The charge for a telephone call between City R and City S
- Replies: 2
- Views: 1109
This is a solid approach. If we're concerned about keeping track of units, dimensional analysis can help: $$1\ new\sec\left(\frac{1\ new\ \min}{100\ new\ \sec}\right)\left(\frac{1\ new\ hour}{100\ new\ \min}\right)\left(\frac{1\ day}{10\ new\ hours}\right)\left(\frac{24\ hours}{1\ day}\right)\left(\...
- by ErikaPrepScholar
Sat Mar 31, 2018 3:22 pm- Forum: Problem Solving
- Topic: A day is divided into 10 new-hours, each new hour is divided
- Replies: 3
- Views: 1126
The key thing to notice here is that the problem does not say that the number of shares increased BY 10,000,000 — it says that the number of shares increased TO 10,000,000. So at the end of the year, there are only 10,000,000 shares. So for the first 9 months, the corporation earned money on all 5...
- by ErikaPrepScholar
Sat Mar 31, 2018 3:14 pm- Forum: Problem Solving
- Topic: A corporation with 5,000,000 shares of publicly...
- Replies: 3
- Views: 1297
Three-digit passwords can begin with 0. So options like 011, 076, 002, and 000 are all valid passwords. This gives 10 options for each digit, or 10*10*10=10^3 possibilities in total.
- by ErikaPrepScholar
Sat Mar 31, 2018 3:05 pm- Forum: Problem Solving
- Topic: How many three-digit passwords are possible on a home
- Replies: 2
- Views: 946
First, we want to address issues of parallelism and sentence structure. In A, B, and C, we have "By recording ... and then digitizing and analyzing ..., a team of scientists ..." "recording", "digitizing", and "analyzing" are all things that the team did, and ...
- by ErikaPrepScholar
Sat Mar 31, 2018 2:57 pm- Forum: Sentence Correction
- Topic: By recording the noise of crinkled wrappers as they were
- Replies: 3
- Views: 1284
Another issue with B that hasn't been addressed: we do not know that the construction of an oil pipeline across the lake's bottom will affect land use and drainage patterns around the lake. 1) Pipeline is at the bottom of the lake, not around the lake. 2) There is no clear connection between the pip...
- by ErikaPrepScholar
Sat Mar 31, 2018 2:42 pm- Forum: Critical Reasoning
- Topic: Lake Konfa
- Replies: 7
- Views: 5049
First, the noun "firm" is singular, as indicated by the pronoun "its" earlier in the sentence. So we can rule out A and C for using "their". By integrating its two pharmaceuticals divisions, the firm will increase their share of the nation’s $135 billion healthcare ma...
- by ErikaPrepScholar
Sat Mar 31, 2018 2:29 pm- Forum: Sentence Correction
- Topic: By integrating its two pharmaceuticals divisions, the firm
- Replies: 3
- Views: 1388
We can start by eliminating A and B. First, the proper noun form of reduce is "reduction" not "reducing". Second, this sentence says that "reducing ... fails to recognize...". The act of reducing something cannot recognize or fail to recognize something. The Finance Boa...
- by ErikaPrepScholar
Sat Mar 31, 2018 2:20 pm- Forum: Sentence Correction
- Topic: The University Finance Board's reducing of financial aid to
- Replies: 1
- Views: 800
We can approach this a couple ways. If we know that "like" must compare nouns, while "as" must compare verbs, we can eliminate C, D, and E immediately. To decide between A and B, we can think about the meaning. Is Ariba "just like" many neighboring regions? Or is it onl...
- by ErikaPrepScholar
Sat Mar 31, 2018 2:05 pm- Forum: Sentence Correction
- Topic: Like many arid regions, Ariba must import many of its fruits
- Replies: 5
- Views: 1286
This sentence COMPARES two things. When we compare things, we want them to be parallel. The first thing in our comparison is $40 billion dollars in 2013 So our structure is dollar amount at some time Looking through our answers, we can eliminate A, D, and E for spoiling the parallelism (note: "...
- by ErikaPrepScholar
Sat Mar 31, 2018 1:55 pm- Forum: Sentence Correction
- Topic: The country’s Commerce secretary says that spending on fue
- Replies: 2
- Views: 1093
I can answer this one for you: this is a PrepScholar question, and the OA is B . First off, we can eliminate C, D, and E. "and therefore may have studied the works of other cultures" must refer to "the early Greeks". However, in the last three answers, the subject of the sentence...
- by ErikaPrepScholar
Sat Mar 31, 2018 1:41 pm- Forum: Sentence Correction
- Topic: The early Greeks designed a mud-brick temple that mirrored t
- Replies: 2
- Views: 1004
Raising any positive or negative number to an even power will yield a positive number. Raising a negative number to an odd power will yield a negative number. Statement 1 $$m^5n^2<0$$ n^2 must be positive whether n is positive or negative. This means that for the whole expression to be negative, m^5...
- by ErikaPrepScholar
Sat Mar 31, 2018 1:14 pm- Forum: Data Sufficiency
- Topic: Is mn < 0?
- Replies: 3
- Views: 1086
We want to know if abcd is negative. We know that a negative times a negative is a positive, so for abcd to be negative, 1 or 3 of the variables must be negative. If 0, 3, or 4 variables are negative, then abcd will be positive. (Note: if any of the variables are 0, then abcd will be 0.) Statement 1...
- by ErikaPrepScholar
Sat Mar 31, 2018 1:06 pm- Forum: Data Sufficiency
- Topic: Is the product abcd negative?
- Replies: 3
- Views: 870
Comment for swerve: We do not know that a < b < c. We only know that a is the shortest building, meaning that b and c must be taller than a. However, we do not know that c is taller than b — they could be the same height and both be taller than a. Thus, buildings b and c could have the same height...
- by ErikaPrepScholar
Sat Mar 31, 2018 11:54 am- Forum: Problem Solving
- Topic: An office park is home to three buildings, with an average
- Replies: 5
- Views: 1001
$$x^2+6x+9=\left|x+3\right|$$ The absolute value gives us two options: $$x^2+6x+9=x+3$$ or $$x^2+6x+9=-\left(x+3\right)$$ $$x^2+6x+9=-x-3$$ Solving each individually: $$x^2+6x+9=x+3$$ $$x^2+5x+6=0$$ $$\left(x+2\right)\left(x+3\right)=0$$ $$x=-2\ and\ x=-3$$ and $$x^2+6x+9=-x-3$$ $$x^2+7x+12=0$$ $$\l...
- by ErikaPrepScholar
Sat Mar 31, 2018 11:48 am- Forum: Problem Solving
- Topic: What is the sum of all unique solutions for
- Replies: 2
- Views: 792