All India GMAT Group

Directions: Read the Passage carefully and answer the question as follow.
Marketing executives in television work with a relatively stable advertising medium. In many ways, the television ads aired today are similar to those aired two decades ago. Most television ads still feature actors, still run 30 or 60 seconds, and still show a product. However, the differing dynamics of the Internet pose unique challenges to advertisers, forcing them to adapt their practices and techniques on a regular basis.
In the early days of Internet marketing, online advertisers employed banner and pop-up ads to attract customers. These techniques reached large audiences, generated many sales leads, and came at a low cost. However, a small number of Internet users began to consider these advertising techniques intrusive and annoying. Yet because marketing strategies relying heavily on banners and pop-ups produced results, companies invested growing amounts of money into purchasing these ad types in hopes of capturing market share in the burgeoning online economy. As consumers became more sophisticated, frustration with these online advertising techniques grew. Independent programmers began to develop tools that blocked banner and pop-up ads. The popularity of these tools exploded when the search engine Google, at the time an increasingly popular website fighting to solidify its place on the Internet with giants Microsoft and Yahoo, offered free software enabling users to block pop-up ads. The backlash against banner ads grew as new web browsers provided users the ability to block image-based ads such as banner ads. Although banner and pop-up ads still exist, they are far less prominent than during the early days of the Internet.
A major development in online marketing came with the introduction of pay-per-click ads. Unlike banner or pop-up ads, which originally required companies to pay every time a website visitor saw an ad, pay-per-click ads allowed companies to pay only when an interested potential customer clicked on an ad. More importantly, however, these ads circumvented the pop-up and banner blockers. As a result of these advantages and the incredible growth in the use of search engines, which provide excellent venues for pay-per-click advertising, companies began turning to pay-per-click marketing in droves. However, as with the banner and pop-up ads that preceded them, pay-per-click ads came with their drawbacks. When companies began pouring billions of dollars into this emerging medium, online advertising specialists started to notice the presence of what would later be called click fraud: representatives of a company with no interest in the product advertised by a competitor click on the competitor's ads simply to increase the marketing cost of the competitor. Click fraud grew so rapidly that marketers sought to diversify their online positions away from pay-per-click marketing through new mediums.
Although pay-per-click advertising remains a common and effective advertising tool, marketers adapted yet again to the changing dynamics of the Internet by adopting new techniques such as pay-per-performance advertising, search engine optimization, and affiliate marketing. As the pace of the Internet's evolution increases, it seems all the more likely that advertising successfully on the Internet will require a strategy that shuns constancy and embraces change.
Q. According to the passage, which of the following best describes the current status of pop-up ads?
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EduRev GMAT answered
The crucial sentence in the passage is: "Although banner and pop-up ads still exist, they are far less prominent than during the early days of the Internet."
A. There is no support for this in the passage. It is implicitly contradicted by the words "far less prominent."
B. This answer reflects the statement in the passage.
C. Pay-per-click advertising is a target of "click fraud," not banner ads, which suffered from blocking programs.
D. The passage states that pop-ups "still exist."
E. The passage states that pay-per-click advertising—not pop-ups—is more popular due to search engines.

Directions: Read the Passage carefully and answer the question as follow.
Marketing executives in television work with a relatively stable advertising medium. In many ways, the television ads aired today are similar to those aired two decades ago. Most television ads still feature actors, still run 30 or 60 seconds, and still show a product. However, the differing dynamics of the Internet pose unique challenges to advertisers, forcing them to adapt their practices and techniques on a regular basis.
In the early days of Internet marketing, online advertisers employed banner and pop-up ads to attract customers. These techniques reached large audiences, generated many sales leads, and came at a low cost. However, a small number of Internet users began to consider these advertising techniques intrusive and annoying. Yet because marketing strategies relying heavily on banners and pop-ups produced results, companies invested growing amounts of money into purchasing these ad types in hopes of capturing market share in the burgeoning online economy. As consumers became more sophisticated, frustration with these online advertising techniques grew. Independent programmers began to develop tools that blocked banner and pop-up ads. The popularity of these tools exploded when the search engine Google, at the time an increasingly popular website fighting to solidify its place on the Internet with giants Microsoft and Yahoo, offered free software enabling users to block pop-up ads. The backlash against banner ads grew as new web browsers provided users the ability to block image-based ads such as banner ads. Although banner and pop-up ads still exist, they are far less prominent than during the early days of the Internet.
A major development in online marketing came with the introduction of pay-per-click ads. Unlike banner or pop-up ads, which originally required companies to pay every time a website visitor saw an ad, pay-per-click ads allowed companies to pay only when an interested potential customer clicked on an ad. More importantly, however, these ads circumvented the pop-up and banner blockers. As a result of these advantages and the incredible growth in the use of search engines, which provide excellent venues for pay-per-click advertising, companies began turning to pay-per-click marketing in droves. However, as with the banner and pop-up ads that preceded them, pay-per-click ads came with their drawbacks. When companies began pouring billions of dollars into this emerging medium, online advertising specialists started to notice the presence of what would later be called click fraud: representatives of a company with no interest in the product advertised by a competitor click on the competitor's ads simply to increase the marketing cost of the competitor. Click fraud grew so rapidly that marketers sought to diversify their online positions away from pay-per-click marketing through new mediums.
Although pay-per-click advertising remains a common and effective advertising tool, marketers adapted yet again to the changing dynamics of the Internet by adopting new techniques such as pay-per-performance advertising, search engine optimization, and affiliate marketing. As the pace of the Internet's evolution increases, it seems all the more likely that advertising successfully on the Internet will require a strategy that shuns constancy and embraces change.
Q. The author implies what about the future of pay-per-performance advertising?
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EduRev GMAT answered
The central theme of the passage is that the Internet is evolving rapidly and current advertising mediums will eventually be replaced (albeit not completely) by new mediums. Just after mentioning pay-per-performance advertising, the author concludes by saying "As the pace of the Internet’s evolution increases, it seems all the more likely that advertising successfully on the Internet will require a strategy that shuns constancy and embraces change."
A. There is no mention of click-fraud applying to pay-per-performance advertising. Since click-fraud does not apply to all online advertising methods and no description of pay-per-performance advertising is given, it is not possible to infer that click-fraud applies to pay-per-performance advertising.
B. The passage never asserts that Internet ad strategies become "extinct." Rather it asserts that they dwindle in popularity as Internet users adapt and the ad strategies become less effective.
C. Developing software to block ads referred to the problem with pop-up and banner advertisements. The article never implied that this problem existed with all Internet advertising strategies.
D. Since the main point of the article is that the Internet evolves and online advertising strategies change, it is reasonable to conclude that pay-per-performance advertising will have a similar fate as the other advertising strategies mentioned in the passage: declining popularity over time.
E. Nothing in the passage supports the idea that an online advertising strategy will remain popular indefinitely even as the Internet evolves rapidly—this contradicts the main point of the passage.

How is Bill related to Betty?
(1) Cindy, the wife of Bill's only brother Chris does not have any siblings.
(2) Betty is Cindy's brother in law's wife.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
Evaluate Statement (1) ALONE
Statement 1: Cindy, the wife of Bill's only brother Chris does not have any siblings.

We know that Cindy has no siblings and she is the wife of Bill's only brother Chris. So, this statement has helped us establish the relation between Cindy and Bill. However, this statement does not provide any information about Betty and is hence not sufficient to answer the question.
Statement 1 ALONE is NOT sufficient.
Eliminate choices A and D. Choices narrow down to B, C, or E.
Evaluate Statement (2) ALONE
Statement 2: Betty is Cindy's brother in law's wife.

We know that Betty is Cindy's brother in law's wife. This statement establishes a relation between Cindy and Betty. This does not answer the question of how Bill is related to either Cindy or Betty.
Statement 2 ALONE is not sufficient. Eliminate choice B.
Evaluate the statements together
Statement 1: Cindy, the wife of Bill's only brother Chris does not have any siblings.

Statement 2: Betty is Cindy's brother in law's wife.
We combine the two statements, we know that Bill and Cindy are related to each other through Chris, who is the only brother of Bill and that Cindy is Betty's brother in law's wife.
Cindy does not have any siblings and hence her brother in law has to necessarily be her husband's sibling. As Chris is the only brother of Bill, Cindy's brother in law has to be Bill and Betty is his wife.
Statements TOGETHER are sufficient.

What is the standard deviation (SD) of the four numbers p, q, r, and s?
(1) The sum of p, q, r, and s is 24.
(2) The sum of the squares of p, q, r, and s is 224.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
Standard deviation = √Mean of squares of the numbers−square of mean of the numbers
Evaluating Statement (1) ALONE: The sum of p, q, r, and s is 24.
From the information in statement 1 we can find the mean of the four numbers to be 6 and the square of the mean of the numbers to be 36.
We need additional information to find the SD.
This statement does not provide any information about the mean of the squares of the numbers.
Statement 1 alone is NOT sufficient.
Eliminate choices A and D. Choices narrow down to B, C, or E.
Evaluating Statement (2) ALONE: The sum of the squares of p, q, r, and s is 224.
Hence, the mean of the squares of the numbers is 56.
However, this statement does not provide any information about the square of the mean of the numbers.
Statement 2 alone is NOT sufficient.
Eliminate choice B. Choices narrow down to C and E.
Evaluating the statements together.
From statement 1 we know that the square of the means is 36.
From statement 2 we know that the mean of the squares is 56.
Using the formula,
Standard deviation = √Mean of squares of the numbers−square of mean of the numbers,
we can find the SD of the 4 numbers.
Statements together are sufficient. Choice C is the answer.

What is the value of X, if X and Y are two distinct integers and their product is 30?
(1) X is an odd integer
(2) X > Y
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'E'. Can you explain this answer?

EduRev GMAT answered
From the question, we know that both X and Y are distinct integers and their product is 30.
30 can be obtained as a product of two distinct integers in the following ways.
Values that satisfy X × Y = 30
Evaluate Statement (1) ALONE: X is an odd integer
From this statement, we know that the value of X is odd.
Therefore, X can be one of the following values: 1, -1, 3, -3, 5, -5.
So, using information in statement 1 we will not be able to deduce a UNIQUE value for X.
Statement 1 ALONE is NOT sufficient.
Eliminate choices A and D. Choices narrow down to B, C, or E.
Evaluate Statement (2) ALONE: X > Y
From this statement, we know that the value of X > Y.
From the combinations listed in the table above, X can take more than one value. Here are two possibilities: X could be 10 and Y could be 3. Or X could be 30 and Y could be 1.
Hence, using information in statement 2, we will not be able to find a UNIQUE value for X.
Statement 2 ALONE is NOT sufficient.
Eliminate choice B. Choices narrow down to C or E.
Evaluate Statements (1) & (2) Together: X is an odd integer and X > Y
Values of X and Y that satisfy both the conditions are
More than one value exists for X. Because we are not able to deduce a UNIQUE value for X using information provided in the two statements together, the given data is NOT sufficient.
Statements TOGETHER are NOT SUFFICIENT. Choice E is the answer.

The cost of a certain phone call was $0.75 for the first 3 minutes and $0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes?
(1) The cost of the phone call was less than $4.16
(2) The cost of the phone call was greater than $3.35
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'B'. Can you explain this answer?

EduRev GMAT answered
This problem highlights how important it is to read carefully and to look for potential interpretation errors in GMAT math questions. It also shows how it is often easier to manipulate the question stems to match the statements in data sufficiency questions than to change the statements to match the questions (what you naturally want to do). Here is the incredibly well-made “con” in this question:
 A majority of high performing students do not properly interpret how to determine the cost—the instructions say $0.75 for the first 3 minutes NOT $0.75 per minute for the first three minutes. However, most people carelessly calculate the charge as if it were per minute. If you do that improper interpretation, then the question stem seems to be asking this in terms of cost: a 15-minute call would be 3 x ($0.75) + 12 ($0.20) or $2.25 + $2.40 = $4.65, so the question would be “Did the phone call cost more than $4.65?” Statement (1) would give you a definitive “No” to the question (cost would always be less than $4.65) and thus be sufficient. Statement (2) would allow for the cost to be both below and above $4.65, so the “Maybe” answer would make it insufficient. With the improper interpretation, you seem to have done everything correct when picking (A). But the correct answer is (B)!
The proper interpretation:
 The first three minutes in total cost $0.75 and each minute after the first three costs $0.20 per minute. A 15-minute call would cost $0.75 + 12 ($0.20) or $3.15. So, after changing the question to ask about cost (in order to match the statements) it becomes: Did the call cost more than $3.15?
 Now you see that statement (1) gives a maybe answer since it allows for both a yes and a no answer to the question. Statement (2), however, guarantees that the cost will always be greater than $3.15, so it is sufficient, yielding the correct answer of (B).

If t and x are integers, what is the value of x?
(1) x2 / t2 = 4 / 9
(2) x > 0 and t > 0
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'E'. Can you explain this answer?

EduRev GMAT answered
In all of my classes and tutoring sessions, I emphasize how important it is to “spot the con” and to critically analyze your decision-making process when working through GMAT problems. This frequently missed question is a wonderful example of what happens when you don’t remain critical. In statement (1), you are given a piece of information that the test writers purposefully want you to determine is insufficient. You look at statement (1), glance at statement (2), and immediately realize that x and t could be positive or negative in statement (1) alone, making it insufficient. People feel good about themselves for identifying this fact and quickly pick (C), since adding statement (2) seems to guarantee that x and t are positive 2 and positive 3, respectively. 
Anytime the test writers can create a scenario in which you have a dopamine response and feel good about finding a trap, you are likely to stop being critical. The positive/negative issues present in this question are a shiny penny—so many people pick (C) because they only focus on the positive/negative ambiguity in statement (1), and statement (2) guarantees they are positive. However, when taken together, all that statements (1) and (2) tell you is that the ratio of x:t must be 2:3 and x and t must be positive. This still leaves an infinite number of possibilities for the two values: 2 and 3, 4 and 6, 6 and 9, 8 and 12, etc. Since the value for x cannot be determined, the correct answer is (E).
If both statements together still result in an infinite number of possibilities for the value of x, why do a majority of high-performing students still pick (C), thinking x must be 2? Because they don’t understand the con and they let their guard down! Just because you find one “con” in a question (in this example, the positive/negative issue), does not mean there aren’t others still present! 

A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?
(1) There are 5 balls in the box.
(2) The number of green balls is greater than the number of blue balls.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'E'. Can you explain this answer?

EduRev GMAT answered
We are given that the box has balls of three different colors - red, blue and green, and the number of balls of each color is at least one in count. Thus, the minimum number of balls in the box = 3.
Let's understand what the question asks.
When one ball is drawn,
Is "(Probability of drawing a red ball) = (Probability of drawing a blue ball) ≠ (Probability of drawing a green ball)"
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Each of the 25 books on bookshelf X is thinner than each of the 25 books on bookshelf Y. Is the median thickness of the 50 books less than 20-millimeters?
(1) The thinnest book on bookshelf X is 2 millimeters thick.
(2) The thinnest book on bookshelf Y is 20 millimeters thick.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'B'. Can you explain this answer?

EduRev GMAT answered
We are given that each of the 25 books on bookshelf X is thinner than each of the 25 books on bookshelf Y.
⇒ (Thickness of the thickest book on bookshelf X) < (Thickness of the thinnest book on bookshelf Y)
You must not assume that the thickness of each of the 25 books on bookshelf X is the same; they all may be of different thickness; they all may be of the same thickness or a few of them may be of the same thickness. The same goes for the books on bookshelf Y.
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Did David solve more questions than Steve in a 2-hour test?
(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.
(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'E'. Can you explain this answer?

EduRev GMAT answered
Statement 1:
We are given that Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.
⇒ 3x > 3y − 6
⇒ x > y − 2
We cannot determine whether x > y, since x is greater than a quantity y, which is reduced by a certain amount, 2.
Let us take an example.
Say y = 10, thus x > 10−2 ⇒ x > 8.
If x = 9, then x ≯ y and the answer is No. However, if x = 11, then x > y and the answer is Yes. No unique answer. Insufficient!
Statement 2:
We are given that Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.
⇒ 2x > 2y − 4
⇒ x > y − 2
This is the same inequality that we got in Statement 1. Insufficient!
Statement 1 & 2:
Since each statement renders the same inequality, even combining both the statements cannot help. Insufficient!
Conclusion:
Each statement renders that same inequality, thus combining both the statements will not help.
You may have deduced a wrong conclusion with the inequality x > y − 2.
We see that x is greater than a number y minus 2; thus, x may or may not be greater than y.
Had the situation been x > y + 2, then it's for certain that x > y; since x is greater than a number (y + 2), then x must be greater than a relatively smaller number y.

If neither x nor y is equal to 0, is 3x − 2y = 0?
(1) 27x3 − 8y3 = 0
(2) 9x2 − 4y2 = 0
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'A'. Can you explain this answer?

EduRev GMAT answered
We have to find out whether 3x − 2y = 0.
Alternatively, we can write 3x − 2y = 0 as x = 2 / 3y.
Thus, we have to determine whether x = 2 / 3y.
Statement 1:
We are given that 27x3 − 8y3 = 0.
⇒ 27x3 = 8y3
⇒ x3 = 8 / 27y3
⇒ x = 2 / 3y; taking the cube root of both the sides. (Remember that the real number x3 has only one real cube root.)
The answer is Yes. - Sufficient!
Statement 2:
We are given that 9x2 − 4y2 = 0
⇒ 9x2 = 4y2
⇒ x2 = 4 / 9y2
⇒ x = ±2 / 3y; taking the square root of both the sides. (Remember that the positive number x2 has two square roots, one positive and the other negative.)
If x = 2 / 3y, the answer is Yes; however, if x = −2 / 3y, the answer is No.
No unique value of x. - Insufficient!

A teacher distributed pens, pencils, and erasers among the students of his class, such that all students got an equal number of pens, an equal number of pencils, and an equal number of erasers. If no pens, pencils, or erasers remained with the teacher, how many students were in the class?
(1) Each student got pens, pencils, and erasers in the ratio 3:4:5, respectively.
(2) The teacher distributed a total of 27 pens, 36 pencils, and 45 erasers.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'E'. Can you explain this answer?

EduRev GMAT answered
We are given that a teacher gave an equal number of pens, an equal number of pencils, and an equal number of erasers to each student of this class.
You must NOT assume:
(Number of pens per student) = (Numbers of pencils per student) = (Number of erasers per student)
The number of pens that a student - say Student A - got may be different from the number of pencils and from the number of erasers he got; however, every student in the class got as many pens as Student A gets (and likewise, as many pencils and erasers as Student A gets).
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A trader purchased three products - Product X, Product Y, and Product Z - for a sum of $500,000. Did the trader pay more than $200,000 for Product Z?
(1) The sum the trader paid for Product X and Product Y combined was 3 times the sum the trader paid for Product X.
(2) The trader paid more to purchase Product Z than to purchase Product Y.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
We are given that the amount spent on buying Product X, Product Y, and Product Z is $500,000.
Say the amounts spent on buying Product X, Product Y, and Product Z are x,y, and z, respectively.
⇒ x + y + z = 500,000 (Equation 1)
We have to determine whether z>200,000.
Statement 1:
We are given that the sum the trader paid for Product X and Product Y combined was 3 times the sum the trader paid for Product X.
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What is the price of an orange?
(1) The price of 3 oranges and 2 apples is $7.
(2) The price of an orange and the price of an apple are both integers.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
Statement 1:
We are given that the combined price of 3 oranges and 2 apples is $7:
3(Price of 1 orange)+2(Price of 1 apple)=7
This is a linear equation with two variables. From it alone, we cannot get the unique value of the price of an orange.
Let's take two cases.
1. Say the price of an apple = $1, then the price of an orange is 
2. Say the price of an apple = $2, then the price of an orange is 
No unique value of the price of an orange. Insufficient!
Statement 2:
Merely knowing that the price of an orange and the price of an apple are integers is not sufficient.
Statement 1 & 2 together:
Say the price of an orange = x and the price of an apple = y;
Thus, from Statement 1, we get,
3x + 2y = 7
From Statement 2, we know that the price of an orange and the price of an apple are integers, thus they must be positive. That is,
x ≥ 1
y ≥ 1
Let's assume a few possible integer values of the price of an apple (y) and see whether it results in a unique positive integer value of the price of an orange (x).
We get only one valid value of x, i.e. the price of an orange = $1, a unique value.
So, our analysis has yielded a unique value of x (=1). Sufficient!

If no bulk purchase discount applies, what is the price of 13 oranges and 12 apples?
(1) The price of 39 oranges and 36 apples is $111.
(2) The price of 3 oranges and 2 apples is $7.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'A'. Can you explain this answer?

EduRev GMAT answered
Statement 1:
We are given that the combined price of 39 oranges and 36 apples is $111.
Looking at the numbers (13,12) in the question statement and (39,36) in Statement (1), it must click that 39 is 3 times of 13, and 36 is also 3 times of 12. Thus, we have:
The combined price of 39 (= 13 × 3) oranges and 36 ( = 12 × 3) apples is $111.
Thus, the combined price of 13 oranges and 12 apples is $111 / 3. - Sufficient
Note: Since in Data Sufficiency questions, you only have to assess whether a statement can lead you to a unique answer or not, do not waste time in calculating the exact answer. This is why the value $1113 has not been further simplified. There is simply no need to do so.
Statement 2:
We are given that the combined price of 3 oranges and 2 apples is $7.
Getting a cue from dealing with Statement (1), we see that 12 is 6 times of 2, but 13 is not 6 times of 3. So, by multiplying the information "the combined price of 3 oranges and 2 apples is $7" by 6, we cannot reach "the combined price of 13 oranges and 12 apples…"
We would rather get:
6 × (Combined price of 3 oranges and 2 apples is $7)
= Combined price of 18 oranges and 12 apples is $42, which is not asked for. - Insufficient

In a certain class, a teacher distributed a few candies and a few bars among the students such that each student got an equal number of candies and an equal number of bars and no candies or bars remained undistributed. How many students were there in the class?
(1) The teacher distributed 180 candies and 40 bars.
(2) The total number of items received by each student was less than 20.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
Given: Each student gets an equal number of candies and an equal number of few bars
Do not assume! Number of candies = Number of bars
To find out: The number of students in the class
Statement 1:
We know that each student received an equal number of candies and an equal number of bars.
Thus, the GCD of the number of candies and the number of bars is the largest possible number of students in the class.
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How many members of the staff of Advanced Computer Technology Consulting are women from outside the United States?
  1. one-fourth of the staff at Advanced Computer Technology Consulting are men
  2. 20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
Note that this question asks for a specific number, not a ratio. Consequently, keep in mind that knowing y percent of the total staff is composed of women from outside the United States is not sufficient.
Evaluate Statement (1) alone.
  • If 25% of the staff are men, 75% must be women.
  • There is not enough information to determine the number of women from outside the United States. Statement (1) alone is NOT SUFFICIENT.
Evaluate Statement (2) alone
  • Since 20 men from the U.S. represent 20% of the staff, the total staff is 100. We also know that there are 20 men from the U.S. and 2(20)=40 women from the U.S. for a total of 20+40=60 employees from the U.S. Consequently, 100-60=40 employees must be from outside the U.S.
  • Since we cannot determine the breakdown of the 40 employees from outside the U.S., it is impossible to determine the number of women from outside the U.S.; Statement (2) alone is NOT SUFFICIENT.
Evaluate Statements (1) and (2) together.
  • Fill in as much information as possible from Statements (1) and (2). We now know that there are a total .25(x) =. 25(100) = 25 men and .75(x) = .75(100) = 75 women.
  • 35 members of the staff of Advanced Computer Technology Consulting are women from outside the United States.
Since Statement (1) alone is NOT SUFFICIENT and Statement (2) alone is NOT SUFFICIENT, but Statements (1) and (2), when taken together, are SUFFICIENT, answer C is correct.

A group of store managers must assemble 280 displays for an upcoming sale. If they assemble 25 percent of the displays during the first hour and 40 percent of the remaining displays during the second hour, how many of the displays will not have been assembled by the end of the second hour?
  • a)
    70
  • b)
    98
  • c)
    126
  • d)
    168
  • e)
    182
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
If, during the first hour, 25 percent of the total displays were assembled, then 280(0.25) = 70 displays were assembled, leaving 280 - 70 = 210 displays remaining to be assembled. Since 40 percent of the remaining displays were assembled during the second hour, 0.40(210) = 84 displays were assembled during the second hour. Thus, 70 + 84 = 154 displays were assembled during the first two hours and 280 - 154 = 126 displays had not been assembled by the end of the second hour.

Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $10.00 each, what was Company C's gross profit?
  • a)
        $2,250
  • b)
        $2,500
  • c)
        $3,100
  • d)
        $3,250
  • e)
        $3,500
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
The company’s gross profit on the 500 toy trucks is the company’s revenue from selling the trucks minus the company’s cost of producing the trucks. The revenue is (500)($10.00) = $5,000.The cost for the first 100 trucks is (100)($5.00) = $500, and the cost for the other 400 trucks is (400)($3.50) = $1,400 for a total cost of $500 + $1,400 = $1,900. Thus, the company's gross profit is $5,000 - $1,900 = $3,100.
The correct answer is C.

The value of Maureen's investment portfolio hasdecreased by 5.8 percent since herinitial investment in the portfolio. If her initial investment was $16,800, what is the current value of the portfolio?
  • a)
    $7,056.00
  • b)
    $14,280.00
  • c)
    $15,825.60
  • d)
    $16,702.56
  • e)
    $17,774.40
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
Maureen’s initial investment was $16,800, and it has decreased by 5.8%. Its current value is therefore (100% - 5.8%) = 94.2% of $16,800, which is equal to 0.942 x $16,800. To make the multiplication simpler, this can be expressed as $(942 x 16.8). Thus multiplying, we obtain the result of $15,825.60.

The value of Maureen's investment portfolio has decreased by 5.8 percent since herinitial investment in the portfolio. If her initial investment was $16,800, what is the current value of the portfolio?
  • a)
    $7,056.00
  • b)
    $14,280.00
  • c)
    $15,825.60
  • d)
    $16,702.56
  • e)
    $17,774.40
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
Maureen’s initial investment was $16,800, and it has decreased by 5.8%. Its current value is therefore (100% - 5.8%) = 94.2% of $16,800, which is equal to 0.942 x $16,800. To make the multiplication simpler, this can be expressed as $(942 X 16.8). Thus multiplying, we obtain the result of $15,825.60.
The correct answer is C.

If x > y and y > z, which of the following represents the greatest number?
  • a)
    x-z
  • b)
    x-y
  • c)
    y-x
  • d)
    z-y
  • e)
    z-x
Correct answer is option 'A'. Can you explain this answer?

EduRev GMAT answered
From x > y and y > z, it follows that x > z.
These inequalities imply the following about the differences that are given in the answer choices:
Since the expressions in A and B represent positive numbers and the expressions in C, D, and E represent negative numbers, the latter can be eliminated because every negative number is less than every positive number. To determine which of x - z and x - y is greater, consider die placement of points widi coordinates x, y, and x on the number line,

The distance between x and z (that is, x  - z) is the sum of the distance between x andy (that is, x - y) and the distance between y and z (that is, y - z).
Therefore (x- z) > (x y),which means that x-z represents the greater of the numbers represented by (x - z) and (x - y). Thus, x-z represents the greatest of the numbers represented by&e answer choices.
Alternatively,
y > z given
-y < -z multiply both sides by -1
x - y < x - z add x to both sides
Thus, x - z represents the greater of the numbers represented by (x - z) and (x - y). Therefore, x - z represents the greatest of the numbers represented by the answer choices.
The correct answer is A.

A souvenir vendor purchased 1,000 shirts for a special event at a price of $5 each. The vendor sold 600 of the shirts on the day of the event for $12 each and 300 of the shirts in the week following the event for $4 each. The vendor was unable to sell the remaining shirts. What was the vendor's gross profit on the sale of these shirts?
  • a)
    $1,000
  • b)
    $2,200
  • c)
    $2,700
  • d)
    $3,000
  • e)
    $3,400
Correct answer is option 'E'. Can you explain this answer?

EduRev GMAT answered
The vendor’s gross profit on the sale of the shirts is equal to the total revenue from the shirts that were sold minus the total cost for all of the shirts. The total cost for all of the shirts is equal to the number of shirts the vendor purchased multiplied by the price paid by the vendor for each shirt: 1,000 x $5 = $5,000. The total revenue from the shirts that were sold is equal to the total revenue from the 600 shirts sold for $12 each plus the total revenue from the 300 shirts that were sold for $4 each: 600 x $12 + 300 x $4 - $7,200 + $1,200 - $8,400. The gross profit is therefore $8,400 - $5,000 = $3,400.
The correct answer is E.

A certain work plan for September requires that a work team, working every day, produce an average of 200 items per day. For the first half of the month, the team produced an average of 150 items per day. How many items per day must the team average during the second half of the month ifitis to attain the average daily production rate required by the work plan?
  • a)
    225
  • b)
    250
  • c)
    275
  • d)
    300
  • e)
    350
Correct answer is option 'B'. Can you explain this answer?

EduRev GMAT answered
The work plan requires that the team produce an average of 200 items per day in September. Because the team has only produced an average of 150 items per day in the first half of September, it has a shortfall of 200 - 150 = 50 items per day for the first half of the month. The team must make up for this shortfall in tire second half of the month, which has an equal number of days as the first half of the month. The team must therefore produce in the second half of the month an average amount per day that is 50 items greater than the required average of 200 items per day for the entire month. This amount for the second half of September is 250 items per day.
The correct answer is B.

There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold twice as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?
  • a)
    Andy
  • b)
    Bob
  • c)
    Cary
  • d)
    Dora
  • e)
    Ellen
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
We can create the following equations:
A = 2E
B = E + 3
C = 2B
D = B + E
Let’s substitute B = E + 3 in the last two equations:
C = 2(E + 3) = 2E + 6
D = (E + 3) + E = 2E + 3
Now, we have everything expressed in terms of E; thus it just remains to compare the quantities 2E, E + 3, 2E + 6, 2E + 3 and E. Since E is the number of properties sold by Ellen, it is a positive integer. Thus, the greatest expression among the five possibilities is 2E + 6, which belongs to Cary.

Guadalupe owns 2 rectangular tracts of land. One is 300 m by 500 m and the other is 250 m by 630 m. The combined area of these 2 tracts is how many square meters?
  • a)
    3,360
  • b)
    307,500
  • c)
    621,500
  • d)
    704,000
  • e)
    2.816.000
Correct answer is option 'B'. Can you explain this answer?

EduRev GMAT answered
The area of a rectangle can be found by multiplying the length and width of the rectangle. Therefore, the combined area, in square meters, of the 2 rectangular tracts of land is (300)(500) + (250)(630) = 150,000 + 157,500 = 307,500.

Directions: Read the sources below before answering the question that follows.
E-mail 1—E-mail from division director to donations coordinator August 10, 9:37 a.m.
Yesterday I spoke with the computer training lab administrator to update him on the status of donations for the school district’s computer donations drive. He extended the donations deadline for another week, until next Tuesday. Are we on track to receive enough donations from students’ families to meet our goal of computers for the new training lab? Do we need to extend our request to local businesses too?
E-mail 2—E-mail from donations coordinator in response to the division director’s August 10, 9:37 a.m. message
August 10, 10:04 a.m.
To date we have received 40 computers. We need 100 computers donated to meet our goal for the new training lab. We have requested help from all of the students’ families, so we should invite local businesses as well. In all of our past drives, including this one so far, we have received donations from about 20 percent of those who received requests. (Of course, we might always receive more or less than that average, so we should consider the possibilities of not meeting the goal or overspending the budget for the thank-you event.) Each individual or organization donating a computer will receive two invitations to our thank-you event to celebrate the opening of the lab. Refreshments and supplies for the event are expected to run $20 per person. What is the total budget for the thank-you event?
E-mail 3—E-mail from division director to donations coordinator in response to the donation coordinator’s August 10, 10:04 a.m. message
August 10, 10:35 a.m.
The budget for the thank-you event is fi xed at $4,000. This would allow us to accommodate 2 attendees for each of the 100 computers donated. The budget is fi rm, so we should take care to ensure that the event costs stay within this amount. Although we do not have resources to extend the budget, if necessary we could determine ways to reduce the cost per person if we receive more donations than the original goal amount.
Q. Suppose that the donations coordinator requests computer donations from 400 local businesses. If all the information in the three e-mails is accurate, the number of attendees that will be invited to participate in the thank-you event is closest to:
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EduRev GMAT answered
In E-mail #2, the donations coordinator states that donations are usually received from about 20 percent of those who receive requests. The computer drive had already received 40 donations, and each donor would receive 2 invitations to the thank-you event, for a total of 80 invitees. If requests were extended to 400 local businesses and 20 percent of those made a donation, the drive would receive 80 computers from businesses. That would add 160 invitations to the thank-you event, for a total of 240 invitees.
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