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#### The charge for a telephone call between City R and City S

##### 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: 849

#### A day is divided into 10 new-hours, each new hour is divided

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: 878 #### A corporation with 5,000,000 shares of publicly... ###### Problem Solving The key thing to notice here is that the problem does not say that the number of shares increased BY 10,000,000 â€” 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: 1043 #### How many three-digit passwords are possible on a home ###### Problem Solving 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: 755 #### By recording the noise of crinkled wrappers as they were ###### Sentence Correction 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 they are all parallel. However, in D 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: 1051 #### Lake Konfa ###### Critical Reasoning 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: 4745 #### By integrating its two pharmaceuticals divisions, the firm ###### Sentence Correction 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 nationâ€™s 135 billion healthcare market from 5 percent to 9 perce... by ErikaPrepScholar Sat Mar 31, 2018 2:29 pm Forum: Sentence Correction Topic: By integrating its two pharmaceuticals divisions, the firm Replies: 3 Views: 1046 #### The University Finance Board's reducing of financial aid to ###### Sentence Correction 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 Board can recognize or fail to re... 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: 637 #### Like many arid regions, Ariba must import many of its fruits ###### Sentence Correction 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 only "like" its neighboring regio... 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: 1076 #### The countryâ€™s Commerce secretary says that spending on fue ###### Sentence Correction 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: "in la... by ErikaPrepScholar Sat Mar 31, 2018 1:55 pm Forum: Sentence Correction Topic: The countryâ€™s Commerce secretary says that spending on fue Replies: 2 Views: 871 #### The early Greeks designed a mud-brick temple that mirrored t ###### Sentence Correction 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 is "temples". Decid... 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: 804 #### Is mn < 0? ###### Data Sufficiency 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$$n^2 must be positive whether n is positive or negative. This means that for the whole expression to be negative, m^5... by ErikaPrepScholar Sat Mar 31, 2018 1:14 pm Forum: Data Sufficiency Topic: Is mn < 0? Replies: 3 Views: 836 #### Is the product abcd negative? ###### Data Sufficiency We want to know if abcd is negative. We know that a negative times a negative is a positive, so for abcd to be negative, 1 or 3 of the variables must be negative. If 0, 3, or 4 variables are negative, then abcd will be positive. (Note: if any of the variables are 0, then abcd will be 0.) Statement 1... by ErikaPrepScholar Sat Mar 31, 2018 1:06 pm Forum: Data Sufficiency Topic: Is the product abcd negative? Replies: 3 Views: 654 #### An office park is home to three buildings, with an average ###### Problem Solving Comment for swerve: We do not know that a < b < c. We only know that a is the shortest building, meaning that b and c must be taller than a. However, we do not know that c is taller than b â€” they could be the same height and both be taller than a. Thus, buildings b and c could have the same height... by ErikaPrepScholar Sat Mar 31, 2018 11:54 am Forum: Problem Solving Topic: An office park is home to three buildings, with an average Replies: 5 Views: 790 #### What is the sum of all unique solutions for ###### Problem Solving$$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+3x^2+5x+6=0\left(x+2\right)\left(x+3\right)=0x=-2\ and\ x=-3$$and$$x^2+6x+9=-x-3x^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: 608