All India GMAT Group

How much water does a chemist need to dilute a pure solution of chlorine in order to obtain 150 ml of solution?
(1) The chemist would like the final solution to be 15% chlorine.
(2) There is no chlorine in water.
  • a)
    Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient.
  • b)
    Statements (1) and (2) TOGETHER are not sufficient.
  • c)
    Each Statement ALONE is sufficient.
  • d)
    Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • e)
    Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient.
Correct answer is option 'A'. Can you explain this answer?

Sonal Banerjee answered  •  1 hour ago

Statement Analysis:

Statement 1: The chemist would like the final solution to be 15% chlorine.
Statement 2: There is no chlorine in water.

Explanation:
To determine how much water the chemist needs to dilute the pure solution of chlorine, we need to calculate the ratio of chlorine to water in the final solution.

Analys
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- If the final solution is to be 15% chlorine, the remaining 85% will be water.
- Using the ratio method, we can set up the equation:
- Let x be the amount of water needed.
- 0.15 * 150ml (chlorine) = 0.85 * x
- Solving for x, we can find the amount of water required.

Analysis of Statement 2:
- This statement tells us that there is no chlorine in the water, which indicates that the initial 150ml of the solution is pure chlorine.
- However, this statement alone does not provide any information about the concentration of chlorine in the final solution, so it is not sufficient on its own.

Final Assessment:
- Statement 1 alone is sufficient to calculate the amount of water needed to dilute the chlorine solution to obtain a 15% chlorine solution.
- Therefore, the correct answer is option 'A.'

Find the average of all the prime numbers that lie between 70 and 100. 
  • a)
    80
  • b)
    82
  • c)
    84
  • d)
    86
Correct answer is option 'B'. Can you explain this answer?

EduRev GMAT answered  •  1 hour ago
Prime numbers that lie between 70 and 100 are 71, 73, 79, 83, 89, 97
The sum of all the terms = 71 + 73 + 79 + 83 + 89 + 97
⇒ The sum of all the terms = 4 92
Total number of terms = 6
⇒ Average = 492/6
⇒ Average = 82
Hence, the correct answer is 82.

How many different positive integers exist between 106 and 107, the sum of whose digits is equal to 2?
  • a)
    6
  • b)
    7
  • c)
    5
  • d)
    8
  • e)
    18
Correct answer is option 'B'. Can you explain this answer?

Mehul Nair answered  •  yesterday


Approach:

To find the different positive integers between 106 and 107 whose sum of digits is equal to 2, we need to consider all possible combinations of digits that sum up to 2.

Possible combinations of digits:

- 2: Only number that can be formed with the sum of digits as 2.

Calculating the integers:

Since the
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How should I begin my GMAT exam preparation?

Arnab Kumar answered  •  2 days ago




Setting Goals:

Starting your GMAT exam preparation with a clear set of goals in mind is crucial. Determine your target score and the schools you are aiming for to create a focused study plan.

Understanding the Exam Structure:

Familiarize yourself with the GMAT exam format, including the sections (Quantitative, Verba
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A business is considering changing its work week structure. At present, employees work the standard Monday to Friday work week. The new structure would allow employees to choose which two days to claim as their weekend, opening up the option to work on Saturdays and Sundays.
Q. The adoption of this plan would be most likely to decrease employees' productivity if the employees' job functions required them to __________.
  • a)
    work undisturbed for several hours at a time.
  • b)
    submit their work for weekly managerial appraisal.
  • c)
    work late hours.
  • d)
    collaborate on monthly group projects.
  • e)
    correspond with banks daily, which are usually closed on Sundays.
Correct answer is option 'E'. Can you explain this answer?

Kiran Nambiar answered  •  2 days ago


Explanation:

Correspond with banks daily:
- Banks are usually closed on Sundays, so employees who need to correspond with banks daily may face challenges in getting their work done effectively.
- This could lead to delays in important financial transactions and communications, impacting overall productivity.

Impact on productivity:... more

Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?
  • a)
    16 days
  • b)
    12 days
  • c)
    8 days
  • d)
    6 days
  • e)
    18 days
Correct answer is option 'C'. Can you explain this answer?

Kiran Nambiar answered  •  2 days ago

Given Data:

Ram takes 24 days to complete the task alone. Krish is twice as efficient as Ram.

Calculations:

Let's assume that Krish can complete the task in 'x' days. Since Ram is half as efficient as Krish, Ram will take 2x days to complete the task.

Ram's efficiency = 1/2x
Krish's efficiency = 1/x

Ram's work rate + K
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A class of students appeared in two different tests of quantitative ability both of which were scored out of 100. The scores of each
student in each test could be expressed as a product of two distinct prime numbers. If a student’s scores in the two tests did not have
any common prime factors, what is the maximum possible difference between his two scores?
  • a)
    79
  • b)
    83
  • c)
    88
  • d)
    89
  • e)
    91
Correct answer is option 'D'. Can you explain this answer?

Kiran Nambiar answered  •  2 days ago

Approach:
To find the maximum possible difference between the two scores, we need to consider the highest and lowest possible scores a student can achieve in each test using distinct prime numbers.

Calculations:
1. Let's consider the highest prime numbers less than 100, which are 97 and 89.
2. The highest possible score in the first test = 97 * 89 = 86
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The factorial operation ! applied to a positive integer n denotes the product of all integers greater than or equal to 1 and less than or equal to n. If k = 1! + 2! + 3! + . . . + p! , where p is a prime number greater than 10, what is the remainder when k is divided by 4?
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
  • e)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?

Sankar Desai answered  •  3 days ago

Understanding the Problem

To solve this problem, we need to understand the concept of factorials and how they relate to the remainder when divided by 4.

Factorial Definition

The factorial of a positive integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

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Is quadrilateral ABCD a parallelogram?
(1) All four internal angles of ABCD are equal.
(2) AC, a diagonal of ABCD, divides ABCD into two congruent triangles.
  • 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?

Pranab Dasgupta answered  •  4 days ago

Statement Analysis:

Statement 1: All four internal angles of quadrilateral ABCD are equal.
Statement 2: AC, a diagonal of ABCD, divides ABCD into two congruent triangles.

Analysis:

Statement 1 alone: If all four internal angles of a quadrilateral are equal, it implies that the quadrilateral is a parallelogram. Therefore
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Directions: Read the information presented in Two-Part Analysis Question below and then select two answers from the choices below. 
Team Legato is competing against Team Forte in a musical duets competition where two members from each team play a song together. Prizes are awarded for first, second, and third place to the three winning duets overall, and not for the three best duets on each individual team. Team Legato has 1/4 as many members as Team Forte.
Q. Identify the number of possible duos on each team if there are 60 members of Team Forte.
 
  • a)
    105
  • b)
    370
  • c)
    705
  • d)
    770
  • e)
    1770
Correct answer is option 'A,D'. Can you explain this answer?

Abhishek Choudhury answered  •  4 days ago


Team Forte's Total Members:
- Given that Team Forte has 60 members

Number of Duos in Team Forte:
- To find the number of possible duos, we need to calculate the number of ways 2 members can be selected from a group of 60 members
- This can be calculated using the combination formula C(n, r) = n! / (r!(n-r)!)
- C(60, 2) = 60! / (2!(60-2)!) =
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A jar contains a mixture of 175 ml water and 700 ml alcohol. Randy takes out 10% of the mixture and substitutes it by water of the same amount. If the process is repeated once again, what will be the percentage of water in the mixture ?
  • a)
    20.5
  • b)
    25.4
  • c)
    29.5
  • d)
    30.3
  • e)
    35.2
Correct answer is option 'E'. Can you explain this answer?

Palak Yadav answered  •  5 days ago

Initial Mixture:
- Water volume: 175 ml
- Alcohol volume: 700 ml
- Total volume: 875 ml

After First Replacement:
- 10% of 875 ml = 87.5 ml mixture removed
- Added 87.5 ml water
- Water volume: 175 ml - 87.5 ml + 87.5 ml = 175 ml
- Alcohol volume: 700 ml - 87.5 ml = 612.5 ml
- Total volume: 875 ml

After Second Repl
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- 10% of 875 ml = 87.5 ml mixture removed
- Added 87.5 ml water
- Water volume: 175 ml - 87.5 ml + 87.5 ml = 175 ml
- Alcohol volume: 612.5 ml - 87.5 ml = 525 ml
- Total volume: 875 ml

Final Percentage of Water:
- Water percentage = (175 ml / 875 ml) * 100
- Water percentage = 20%

Therefore, the final percentage of water in the mixture after two replacements is 20%, which corresponds to option 'E'.

One smurf and one elf can build a treehouse together in two hours, but the smurf would need the help of two fairies in order to complete the same job in the same amount of time. If one elf and one fairy worked together, it would take them four hours to build the treehouse. Assuming that work rates for smurfs, elves, and fairies remain constant, how many hours would it take one smurf, one elf, and one fairy, working together, to build the treehouse?
  • a)
    5/7
  • b)
    1
  • c)
    10/7
  • d)
    12/7
  • e)
    22/7
Correct answer is option 'D'. Can you explain this answer?

Palak Yadav answered  •  5 days ago
Analysis:
- Let's denote the work rate of a smurf as S, the work rate of an elf as E, and the work rate of a fairy as F.
- From the information provided, we can set up the following equations:
- 1S + 1E = 1/2 (smurf and elf can build the treehouse together in 2 hours)
- 1S + 2F = 1/2 (smurf needs the help of 2 fairies to complete the job in 2 hours)
-
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Though most paper currency was at one time backed by fixed assets such as gold or silver, itnow derives its purchasing power from a declaratory fiat of the issuing government.
  • a)
    was at one time backed by
  • b)
    had at one time been backed by
  • c)
    was at one time backing
  • d)
    had at one time backed
  • e)
    has at one time been backed by
Correct answer is option 'A'. Can you explain this answer?

Navya Yadav answered  •  5 days ago


Explanation:

The correct answer is option 'a)' because the sentence is referring to a past state where paper currency was backed by fixed assets like gold or silver. Let's break down the sentence to understand why option 'a)' is the most suitable choice:

1. Past State:
- The sentence starts by stating "Though most paper currency" which indicates
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If the total cost of 20 pairs of shoes is equal to the total revenue generated from the sale of 25 pairs of shoes, what is the percent of profit or loss made on the sale of each pair of shoes, assuming each pair of shoes cost the same dollar amount and each pair of shoes sold for the same dollar amount?
  • a)
    25% loss
  • b)
    25% profit
  • c)
    20% loss
  • d)
    20% profit
  • e)
    5% profit
Correct answer is option 'C'. Can you explain this answer?

Sinjini Mukherjee answered  •  1 week ago

Given Information:
- Total cost of 20 pairs of shoes = Total revenue generated from the sale of 25 pairs of shoes

Calculation:
Let's assume the cost of each pair of shoes is $1.

Total cost of 20 pairs of shoes:
20 pairs * $1 = $20

Total revenue generated from the sale of 25 pairs of shoes:
25 pairs * $1 = $25... more

Four neighboring countries produce a third of the world’s harvest of sugarcane. During the last decade, Vernia’s sugarcane output was greater than that of Brownland. However, because Sylvania had a greater output of sugarcane than Borodia’s, Vernia must have produced more sugarcane than Borodia.
If taken into consideration, any of the following makes the argument above logically correct EXCEPT:
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EduRev GMAT answered  •  1 week ago
To evaluate which of the following options does NOT make the argument logically correct, let's analyze the initial statements and the implications of each option:
- The argument states that Vernia's output > Brownland's output and Sylvania's output > Borodia's output. The conclusion drawn is that Vernia's output > Borodia's output.
Let's look at each option:
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Authors writing detective stories frequently include a brilliant detective and an incompetent investigator who embark on separate paths in an attempt to solve a crime. The separate accounts frequently consist of the incompetent investigator becoming distracted by the criminals' well-planned attempts and the competent detective solving the case after a violent confrontation. Many literary analysts believe authors often choose this storyline in an attempt to provide readers additional complexity and challenge in solving the investigation.
Q. Which of the following most logically follows from the statements above?
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Pioneer Academy answered  •  1 week ago
This question asks you to take the statements and draw a conclusion. One major trap in this type of question is an answer that is logical, but not supported by the statements in the stimulus.
A. The stimulus does not define what constitutes a well written story nor does it speak about what is a poorly written story. Consequently, it is difficult to make a statement like this that will logically follow from the stimulus.
B. Although this statement is probably true, it does not follow from the stimulus. Instead, the stimulus states that authors use an incompetent investigator to add complexity to the storyline (thereby making the reader's attempts to solve the case more challenging) not to show that investigations are complex.
C. While the stimulus states that stories "frequently" include an incompetent investigator who does not solve the case correctly, we cannot conclude an incompetent investigator "never" solves a case correctly.
D. This statement is quite similar to the final sentence of the stimulus and it logically follows from the stimulus. The statement that authors write in the way they do "to provide readers additional complexity and challenge in solving the investigation" provides the basis to conclude that authors write "to make predicting the correct outcome of the investigation more difficult."
E. Although this statement is probably true, there is no evidence of it in the stimulus. Instead, the stimulus indicates that the complexity is added not for its resemblance to real life but for its ability to increase the challenge posed to readers seeking to solve the case correctly.

Automation, the trademark of a modern economy, is essential to maximizing a country's economic production while minimizing its costs. Health care executives want to increase revenues while reducing costs. Consequently, they propose significantly greater automation of health care. Yet, this should be rejected. Radical automation of health care would cause patients to lose trust in the system as the health care they would receive would lack the in-person care that studies show patients desire.
Q. Which of the following expresses the main point of the argument?
  • a)
    Health care should not be heavily automated
  • b)
    Patients desire customized in-person care
  • c)
    Trends in the general economy do not apply to the health care industry
  • d)
    Health care executives are becoming too greedy
  • e)
    Due to economic forces, automation of health care is eventually inevitable
Correct answer is option 'A'. Can you explain this answer?

Saumya Shah answered  •  2 weeks ago
Answer:

Main Point of the Argument: Health care should not be heavily automated.

Explanation:

Introduction:
- Automation is considered essential for maximizing economic production and minimizing costs in a modern economy.
- Health care executives propose greater automation of health care to increase revenues and reduce costs.... more

Force may be defined as agent which produces or tends to produce , or tends to destroy or tends to desroy motion?

Arjun Iyer answered  •  2 weeks ago
Definition of Force

Force can be defined as an agent that produces or tends to produce motion, or tends to destroy or tends to destroy motion. In simpler terms, force is a push or a pull that can cause an object to move, stop, or change its direction.

Types of Forces

Forces can be categorized into various types based on their origin and effects. Some
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In a box there are A green balls, 3A + 6 red balls and 2 yellow ones. If there are no other colors, what is the probability of taking out a green or a yellow ball?
  • a)
    1/5
  • b)
    1/2
  • c)
    1/3
  • d)
    1/4
  • e)
    2/3
Correct answer is option 'D'. Can you explain this answer?

Pallavi Choudhury answered  •  2 weeks ago
To find the probability of taking out a green or a yellow ball from the box, we need to determine the total number of green and yellow balls and divide it by the total number of balls in the box.

Let's first determine the total number of green balls:

Given that there are A green balls in the box, the total number of green balls is A.

Next, let's determine the total
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x and n are positive integers, such that 7x = 10n–1. What is the 99th smallest possible value of n?
  • a)
    582
  • b)
    588
  • c)
    594
  • d)
    606
  • e)
    612
Correct answer is option 'C'. Can you explain this answer?

Kiran Chauhan answered  •  2 weeks ago
To find a relationship between x and n, we can solve the equation 7x = 10n for one variable in terms of the other.

Dividing both sides of the equation by 7 gives us:
x = (10/7)n

So, x is equal to (10/7) times n.

This means that x and n are related by a constant factor of 10/7. In other words, n is a multiple of (7/10) and x can be obtained by multiplying n by
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ZENITH 
  • a)
    Acme
  • b)
    Top
  • c)
    Nadir
  • d)
    Pinnacle
Correct answer is option 'C'. Can you explain this answer?

Sharmila Singh answered  •  2 weeks ago
Nadir is the correct answer.

Explanation:

Definition of Nadir:
Nadir is a noun that means the lowest point or the point of greatest adversity or despair.

Comparison with other options:
To understand why Nadir is the correct answer, let's compare it with the other options:

- Acme: Acme is a noun that means the highest
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If x is the sum of six consecutive integers, then x is divisible by which of the following:
I. 3                   II. 4                   III. 6
  • a)
    I only
  • b)
    II only
  • c)
    I and III only
  • d)
    II and III only
Correct answer is option 'A'. Can you explain this answer?

Nandita Yadav answered  •  2 weeks ago
To solve this problem, we need to understand the concept of consecutive integers and divisibility rules for 3, 4, and 6.

Consecutive Integers:
Consecutive integers are integers that follow one another in order without any gaps. For example, the consecutive integers from 1 to 6 are 1, 2, 3, 4, 5, and 6.

Divisibility Rules:
To determine if a number is divisible by ano
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If x represents the sum of all the positive three digit numbers that can be constructed by using each of the distinct nonzero digits a, b, and c exactly once, what is the largest integer by which x must be divisible?

 
  • a)
    6
  • b)
    11
  • c)
    22
  • d)
    222
Correct answer is option 'D'. Can you explain this answer?

Gitanjali Kumar answered  •  2 weeks ago
Introduction:
To solve this problem, we need to consider all the possible three-digit numbers that can be constructed using three distinct nonzero digits. We will determine the sum of these numbers and find the largest integer by which this sum must be divisible.

Approach:
1. We can use the concept of permutations to determine the number of three-digit numbers th
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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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