All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
GMAT Exam  >  GMAT Questions  >  if A = x% of y and B = y% of x, then which of... Start Learning for Free
SaveJoin the Discussion on the App
if A = x% of y and B = y% of x, then which of the following is true?
  • a)
    A is smaller than B.
  • b)
    A is greater than B
  • c)
    Relationship between A and B cannot be determined.
  • d)
    If x is smaller than y, then A is greater than B.
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
if A = x% of y and B = y% of x, then which of the following is true?a)...
View all questions of this test
Most Upvoted Answer
if A = x% of y and B = y% of x, then which of the following is true?a)...
Given that A = x% of y and B = y% of x, we need to determine the relationship between A and B.

Let's break down the given information:

A = x% of y can be written as A = (x/100) * y
B = y% of x can be written as B = (y/100) * x

Now let's compare A and B:

To compare A and B, we need to eliminate the variables x and y. We can do this by expressing x and y in terms of A and B.

From the equation A = (x/100) * y, we can solve for x by multiplying both sides by 100 and dividing by y:
x = (100 * A) / y

Similarly, from the equation B = (y/100) * x, we can solve for y by multiplying both sides by 100 and dividing by x:
y = (100 * B) / x

Now let's substitute these values of x and y into the equations for A and B:

A = [(100 * A) / y] * y
A = 100 * A

B = [(100 * B) / x] * x
B = 100 * B

From the above equations, we can see that both A and B are equal to 100 times themselves.

Therefore, we can conclude that the relationship between A and B cannot be determined. They are either equal or not equal, but we cannot determine which one is greater or smaller.

Hence, the correct answer is option E) None of these.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
< Previous Question Next Question >
Explore Courses for GMAT exam

Similar GMAT Doubts

Read the passage and answer the question given below.The study of the analog position of mental representation has many fascinating branches which help illuminate the inner workings of our minds and how we perceive images in our mind‘s eye. This theory points to the link between the time it takes to solve mental problems and their complexity.In a now-famous study, Stephen Kosslyn asked subjects to imagine an animal, such as a rabbit, next to either an elephant or a fly. When the image was formed, Kosslyn would ask whether or not the target animal had a particular attribute. For example, Kosslyn might say, elephant, rabbit, and then leg. He found that it took subjects longer to answer when the target animal was next to the large animal than when it was next to the small animal. Kosslyn interpreted this to mean that subjects had to zoom in on the image to detect the particular feature. Just as one has difficulty seeing details on small objects, so the subjects could not simply mentally see details on the smaller object in their mental image.Second, Kosslyn and colleagues demonstrated that the time it takes to scan between two points depends on the distance between the two points [in a memorized image]. In one experiment, subjects memorized an array of letters separated by different distances. Kosslyn found that the farther apart the letters were from each other, the longer it took to answer questions about one of the letters. One of the principal hypotheses of the analog position of mental representation, which is the idea that mental processing requires one to move sequentially through all intervening steps to solve a problem, is that mental images have regular properties.In a similar experiment, Kosslyn had subjects memorize pictures of objects like a plane or a motorboat. Then he had them focus on one part of the object (e.g., the motor) and move to another (e.g., the anchor). He found that the time it took to determine whether the second part was present depended on the distance between the two parts in the memorized picture.Using a completely different paradigm, Shepard and Feng tested the amount of time that it would take for subjects to specify whether two arrows on unfolded blocks matched up. They found a linear relationship between the number of folds between the arrows and the time it took to make this judgment, suggesting that subjects went through a discrete series of organized steps in order to solve this problem.The final type of experiment showing that mental images have regular properties is perhaps the most famous: mental rotation experiments. In 1971, Shepard and Metzler tested subjects‘ abilities to make complex figure comparisons. They presented subjects with a three dimensional standard figure and a comparison figure which was either identical to the standard figure, or its mirror image; the comparison stimulus was rotated, either clockwise or into the third dimension. Shepard and Metzler found that the time needed to judge whether the comparison stimulus was identical or a mirror image depended directly on the size of the angle between the target orientation and the orientation of the standard.Q.According to the scanning experiments mentioned in the passage, it should take longer to scan longer distances because the subjects

Top Courses for GMATView all

Top Courses for GMAT

if A = x% of y and B = y% of x, then which of the following is true?a)A is smaller than B.b)A is greater than Bc)Relationship between A and B cannot be determined.d)If x is smaller than y, then A is greater than B.e)None of theseCorrect answer is option 'E'. Can you explain this answer?
Question Description
if A = x% of y and B = y% of x, then which of the following is true?a)A is smaller than B.b)A is greater than Bc)Relationship between A and B cannot be determined.d)If x is smaller than y, then A is greater than B.e)None of theseCorrect answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about if A = x% of y and B = y% of x, then which of the following is true?a)A is smaller than B.b)A is greater than Bc)Relationship between A and B cannot be determined.d)If x is smaller than y, then A is greater than B.e)None of theseCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if A = x% of y and B = y% of x, then which of the following is true?a)A is smaller than B.b)A is greater than Bc)Relationship between A and B cannot be determined.d)If x is smaller than y, then A is greater than B.e)None of theseCorrect answer is option 'E'. Can you explain this answer?.
Solutions for if A = x% of y and B = y% of x, then which of the following is true?a)A is smaller than B.b)A is greater than Bc)Relationship between A and B cannot be determined.d)If x is smaller than y, then A is greater than B.e)None of theseCorrect answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of if A = x% of y and B = y% of x, then which of the following is true?a)A is smaller than B.b)A is greater than Bc)Relationship between A and B cannot be determined.d)If x is smaller than y, then A is greater than B.e)None of theseCorrect answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of if A = x% of y and B = y% of x, then which of the following is true?a)A is smaller than B.b)A is greater than Bc)Relationship between A and B cannot be determined.d)If x is smaller than y, then A is greater than B.e)None of theseCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for if A = x% of y and B = y% of x, then which of the following is true?a)A is smaller than B.b)A is greater than Bc)Relationship between A and B cannot be determined.d)If x is smaller than y, then A is greater than B.e)None of theseCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of if A = x% of y and B = y% of x, then which of the following is true?a)A is smaller than B.b)A is greater than Bc)Relationship between A and B cannot be determined.d)If x is smaller than y, then A is greater than B.e)None of theseCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice if A = x% of y and B = y% of x, then which of the following is true?a)A is smaller than B.b)A is greater than Bc)Relationship between A and B cannot be determined.d)If x is smaller than y, then A is greater than B.e)None of theseCorrect answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup