All India GMAT Group

Directions: Each GMAT Data Sufficiency problem consists of a question and two statements labeled (1) and (2), that provide data. Based on the data given plus your knowledge of mathematics and everyday facts, you must decide whether the data are sufficient for answering the question. The five answer choices are the same for every data sufficiency question.
If the product of j and k does not equal zero, is j<0 and k>0?
(1) (-j, k) lies above the x-axis and to the right of the y-axis.
(2) (j, -k) lies below the x-axis and to the left of the y-axis.
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Advait Roy answered  •  5 days ago
Understanding the Question
We need to determine if j < 0="" and="" k="" /> 0, given that the product of j and k does not equal zero.
Statement (1) Analysis
- The statement tells us that the point (-j, k) lies above the x-axis and to the right of the y-axis.
- This means:
- k > 0 (since it's above the x-axis)
- -j > 0, which implies j < 0="" (since="" -
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If x > 0, how many integer values of (x, y) will satisfy the equation 5x + 4|y| = 55?
  • a)
    3
  • b)
    6
  • c)
    5
  • d)
    4
  • e)
    Infinitely many
Correct answer is option 'C'. Can you explain this answer?

Prateek Gupta answered  •  1 week ago
Understanding the Equation
The equation given is:
5x + 4|y| = 55.
We need to find integer values of (x, y) such that x > 0.
Rearranging the Equation
We can rearrange the equation to isolate |y|:
4|y| = 55 - 5x
|y| = (55 - 5x) / 4.
Constraints on x
Since x must be a positive integer, we should determine the values of x that keep
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y = x2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?
  • a)
    -32
  • b)
    -256
  • c)
    -255
  • d)
    -257
  • e)
    0
Correct answer is option 'D'. Can you explain this answer?

Sandeep Mehra answered  •  2 weeks ago
Understanding the Quadratic Equation
The equation given is y = x^2 + bx + 256. This is a standard form of a quadratic equation where the roots (x-intercepts) are denoted by (h, 0) and (k, 0).
Roots and Coefficients Relationship
For a quadratic equation of the form y = ax^2 + bx + c, the sum and product of the roots can be expressed as:
- Sum of roots (h + k) = -b
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Many marine organisms defend themselves from predators, using a dark ink-like pigment secreted from an inch-long sac attached to their epidermis. A fossil from the Jurassic period, dated at almost 155 million years old and discovered in the Wiltshire region, contains a perfectly-preserved ink-sac that was probably from a now-extinct species of squid, the Belemnotheutis Antiquus, whose exact origins had not been previously established. Therefore, this form of self-preservation in marine organisms is at least 155 million years old.  
Which of the following, if true, most strengthens the conclusion above?
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Moumita Sen answered  •  2 weeks ago
Strengthening the Conclusion
The conclusion drawn from the discovery of the fossilized ink-sac is that the use of ink for self-preservation in marine organisms, specifically squids, dates back at least 155 million years. To strengthen this conclusion, we need additional evidence that directly links the ink-sac to the Belemnotheutis Antiquus.
Why Option E is Correct
- <
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Western analytical philosophy has contributed two major elements to the theory of the political good. It is unfortunate that the value of the first element, personalism, has been diluted by its close association with the second element, valuational solipsism.
Personalism was developed in response to the belief that nations, states, religions, or any other corporate entity have interests that transcend the interests of the individuals that comprise them. The central tenet of personalism, therefore, is that institutions are good or bad insofar as they are good or bad for the individuals that are affected by them. Institutions are not good, for example, because they preserve the nation’s culture or because they protect the natural world, unless preserving the nation’s culture or protecting the natural world is good for the individual. As a philosophical assumption, personalism is most useful in countering arguments for practices that harm individuals in the name of “the greater good,” or the “society at large.” The personalist credo basically states that when it comes to interests, there are no interests but human interests.
However, an excessive devotion to the theory of personalism may lead one to fall into the trap of valuational solipsism. The word solipsism derives from the Latin for “lone self” and the theory of valuational solipsism takes the isolated individual as the sole judge of value. The problem with this viewpoint is obvious. By using the individual as the measure of the good, valuational solipsism neglects to consider the whole range of social values that are part of the political experience. These values include citizenship, status, and community, none of which can exist without reference to other individuals. Instead, political theories are based entirely on non-social values such as happiness, material welfare, and utility, which are not dependent on interactions with others. Such a view obscures a fundamental quality of the political good.
The primary purpose of the passage is to
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EduRev GMAT answered  •  2 weeks ago
The primary purpose of the passage is to
  • compare and contrast two significant theories of the good in political philosophy
  • defend a theory of the political good based on personalism against criticisms from valuational solipsists
  • argue that accepting personalism leads to valuational solipsism
  • evaluate the effects of two major ideas on the theory of the good in political philosophy
  • reject valuational solipsism as a valid method for defining the political good

In order to improve the performance of students taking her course, the Statistics professor has introduced a weekly quiz for the new batch that started school this year. So far, she has found that the students’ performance has improved by 5% as compared to the performance of the senior batches in their first year. This improvement is certainly a direct result of her weekly quizzes.
Which of the following, if true, casts the most serious doubt on the conclusion drawn above?
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Sreemoyee Nambiar answered  •  2 weeks ago
Conclusion Overview
The Statistics professor concludes that the 5% improvement in student performance is directly due to the implementation of weekly quizzes.
Key Doubt Introduced by Option C
Option C states: "The Statistics textbook prescribed for the introductory course this year is considerably easier to understand than the textbook used previously."
Imp
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- Textbook Quality: If the textbook is easier to understand, it could lead to higher student performance regardless of the quizzes.
- Alternative Explanation: The improvement may be attributed to the quality of the textbook rather than the quizzes, undermining the professor's conclusion.
Other Options Analysis
- Option A: While students are spending more time studying due to quizzes, this doesn't negate the influence of the textbook.
- Option B: Some students performing better in Statistics could simply reflect individual differences rather than the impact of quizzes.
- Option D: The professor's ranking does not directly correlate with the cause of the performance improvement.
- Option E: While students may struggle to concentrate on other subjects, this doesn't address the improvement in Statistics performance.
Conclusion
The most compelling doubt arises from Option C, as it presents an alternative cause for the performance improvement, suggesting that the easier textbook may be the true reason behind the students' success, rather than the weekly quizzes.

The demand for Korean horror films in America will fall considerably since American horror films are back in demand there, impacting the overall demand for Korean films. However, the American viewers’ demand for Korean films will increase again. Two years back when the American romance film genre went through a revival in popularity in America, the demand for Korean romantic films in America went down; however, the demand for Korean films has returned to its previous level since then.
Which of the following, if true, best supports the assertion that the demand for Korean films may not return to its previous level?
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Jatin Kapoor answered  •  2 weeks ago
The Assertion
The assertion states that the demand for Korean films may not return to its previous level. This claim hinges on various factors influencing the popularity of Korean films in America.
Supporting Evidence: Option B
The option that best supports the assertion is:
“The Korean horror films were significantly responsible for contributing to the revival
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Rationale Behind Option B
- Historical Impact: This statement highlights that Korean horror films played a crucial role in revitalizing interest in Korean cinema. If the demand for Korean horror films falls now, it suggests that a significant contributor to their previous popularity is no longer effective.
- Dependency on Genre: The success of Korean films could be heavily tied to specific genres. If American horror films dominate the market and overshadow Korean horror, it may not only decrease the overall demand for Korean films but also hinder the revival of interest in other genres of Korean cinema.
Contrasting Options
- Weakening Demand: Other options do not directly link the current decline in demand for Korean horror films to a potential long-term decrease in overall demand for Korean films. Instead, they either present unrelated facts or reinforce that demand for other genres remains stable.
Conclusion
In summary, Option B directly connects the decline of Korean horror films to the potential long-term impact on the overall demand for Korean films, making it the strongest support for the assertion that demand may not recover.

Following are the questions having the group of words. You have to choose the correctly spelt word.
  • a)
    Hierarchy
  • b)
    Hieraarchy
  • c)
    Hieriarchy
  • d)
    Hierache
  • e)
    Herarchy
Correct answer is option 'A'. Can you explain this answer?

Dipanjan Mehra answered  •  2 weeks ago
Understanding the Correct Spelling: Hierarchy
When it comes to the word "hierarchy," it is essential to recognize its correct spelling to avoid misunderstandings in communication.
Correct Spelling: Option A - Hierarchy
- The term "hierarchy" refers to a system of organization in which people or groups are ranked one above the other according to status or authority.... more

Master Chef Alan makes a dish every day from one of his recipe books. He has written 3 books and each book contains 15 different recipes. What is the probability that he will cook 4th dish from 3rd book today?
  • a)
    1/15
  • b)
    3/45
  • c)
    3/13
  • d)
    1/45
  • e)
    1/3
Correct answer is option 'D'. Can you explain this answer?

EduRev GMAT answered  •  2 weeks ago
We note that there are three books and each book contains 15 recipes so there are a total of 45 recipes. The probability that he will cook 4th dish from 3rd book today is 1/45. It's important that you must not get distracted by irrelevant information. All the recipes are different from each other

Select the possible values of x if |x+4| = 6
  • a)
    -2
  • b)
    10
  • c)
    -2 and 10
  • d)
    -10 and 2
  • e)
    2 and 10
Correct answer is option 'D'. Can you explain this answer?

Sravya Joshi answered  •  3 weeks ago
Understanding the Absolute Value Equation
To solve the equation |x + 4| = 6, we need to understand how absolute values work. The absolute value of a number represents its distance from zero on the number line, which means it can yield two possible equations.
Setting Up the Equations
From the equation |x + 4| = 6, we deduce two scenarios:
- Scenario 1: x +
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Nikita Chauhan asked a question

In each of the following questions, five words have been given out of which four are alike in some manner, while the fifth one is different. Choose the word which is different from the rest.
Question -
Choose the word which is different from the rest.
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Jyoti Nair asked a question

Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. The colour of each shirt is one out of blue, green and red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4...9 and 10 from left to right in that order. These ten persons have to sit on the chairs such that there is only one person in each chair. The number of persons wearing a green and a blue shirt is 2 and 3 respectively.
Additional Information:
1. No two persons wearing blue shirts sit on consecutively numbered chairs.
2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.
3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on consecutively numbered chairs.
4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.
5. Persons wearing red shirts are not sitting at extreme ends.
The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under "Additional Information".
Q. Which of the arrangements done by Mr. Crazy is not consistent with the information stated under "Additional Information"?
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