CAT Exam  >  CAT Questions  >  InstructionsAn agency entrusted to accredit c... Start Learning for Free
Instructions
An agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:

Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):

It is further known that in terms of overall scores:
1. High Q is better than Best Ed;
2. Best Ed is better than Cosmopolitan; and
3. Education Aid is better than A-one.
Q. How many colleges have overall scores between 31 and 40, both inclusive?
  • a)
    0
  • b)
    2
  • c)
    1
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
InstructionsAn agency entrusted to accredit colleges looks at four par...
It is given that: High Q > Best Ed > Cosmopolitan and Education Aid > A-one We can say that High Q > Cosmopolitan We can see that both High Q and Cosmopolitan got same points in reputation (R) and placement quality (P). High Q received more points in infrastructure (I) than Cosmopolitan whereas Cosmopolitan received more points in faculty Quality (F) than High Q.
Hence, we can say that Infrastructure's weight should be greater than Faculty quality. i.e. I > F Similarly, We can see that both Best Ed and Cosmopolitan got same points in faculty Quality (F) and placement quality (P). Best Ed received more points in reputation (R) than Cosmopolitan whereas Cosmopolitan received more points in infrastructure (I) than Best Ed.
Hence, we can say that reputation's weight should be greater than infrastructure. i.e. R > I Similarly, We can see that both Education Aid and A-one got same points in faculty Quality (F) and reputation (R). Education Aid received more points in infrastructure (I) than A-one whereas A-one received more points in placement quality (P) than Education Aid.
Hence, we can say that reputation's weight should be greater than infrastructure. i.e. I > P So basically there are two possible cases: R > I > P > F or R > I > F > P
Case 1: Order of weights assigned = R > I > P > F
R = 0.4, I = 0.3. P = 0.2, F = 0.1
In this case overall score received by Best Ed = 0.1*40+0.4*30+0.2*20+0.3*20 = 26 In this case overall score received by High Q = 0.1*30+0.4*20+0.2*20+0.3*40 = 27 We can see that High Q's overall score is higher than Best Ed. Hence, this is a possible case.
Case 2: Order of weights assigned = R > I > F > P
R = 0.4, I = 0.3. P = 0.1, F = 0.2
In this case overall score received by Best Ed = 0.2*40+0.4*30+0.1*20+0.3*20 = 28 In this case overall score received by High Q = 0.2*30+0.4*20+0.1*20+0.3*40 = 28 We can see that High Q's overall score is not greater than the overall score received Best Ed. Hence, this case is not possible.
Now that we know the weight of each parameter, we can calculate the overall score and accreditation received by each college.

From the table we can see that none of the mentioned college received an overall scores between 31 and 40, both inclusive. Hence, option A is the correct answer.
View all questions of this test
Explore Courses for CAT exam
InstructionsAn agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):It is further known that in terms of overall scores:1. High Q is better than Best Ed;2. Best Ed is better than Cosmopolitan; and3. Education Aid is better than A-one.Q.How many colleges have overall scores between 31 and 40, both inclusive?a)0b)2c)1d)3Correct answer is option 'A'. Can you explain this answer?
Question Description
InstructionsAn agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):It is further known that in terms of overall scores:1. High Q is better than Best Ed;2. Best Ed is better than Cosmopolitan; and3. Education Aid is better than A-one.Q.How many colleges have overall scores between 31 and 40, both inclusive?a)0b)2c)1d)3Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about InstructionsAn agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):It is further known that in terms of overall scores:1. High Q is better than Best Ed;2. Best Ed is better than Cosmopolitan; and3. Education Aid is better than A-one.Q.How many colleges have overall scores between 31 and 40, both inclusive?a)0b)2c)1d)3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InstructionsAn agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):It is further known that in terms of overall scores:1. High Q is better than Best Ed;2. Best Ed is better than Cosmopolitan; and3. Education Aid is better than A-one.Q.How many colleges have overall scores between 31 and 40, both inclusive?a)0b)2c)1d)3Correct answer is option 'A'. Can you explain this answer?.
Solutions for InstructionsAn agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):It is further known that in terms of overall scores:1. High Q is better than Best Ed;2. Best Ed is better than Cosmopolitan; and3. Education Aid is better than A-one.Q.How many colleges have overall scores between 31 and 40, both inclusive?a)0b)2c)1d)3Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of InstructionsAn agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):It is further known that in terms of overall scores:1. High Q is better than Best Ed;2. Best Ed is better than Cosmopolitan; and3. Education Aid is better than A-one.Q.How many colleges have overall scores between 31 and 40, both inclusive?a)0b)2c)1d)3Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of InstructionsAn agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):It is further known that in terms of overall scores:1. High Q is better than Best Ed;2. Best Ed is better than Cosmopolitan; and3. Education Aid is better than A-one.Q.How many colleges have overall scores between 31 and 40, both inclusive?a)0b)2c)1d)3Correct answer is option 'A'. Can you explain this answer?, a detailed solution for InstructionsAn agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):It is further known that in terms of overall scores:1. High Q is better than Best Ed;2. Best Ed is better than Cosmopolitan; and3. Education Aid is better than A-one.Q.How many colleges have overall scores between 31 and 40, both inclusive?a)0b)2c)1d)3Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of InstructionsAn agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):It is further known that in terms of overall scores:1. High Q is better than Best Ed;2. Best Ed is better than Cosmopolitan; and3. Education Aid is better than A-one.Q.How many colleges have overall scores between 31 and 40, both inclusive?a)0b)2c)1d)3Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice InstructionsAn agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):It is further known that in terms of overall scores:1. High Q is better than Best Ed;2. Best Ed is better than Cosmopolitan; and3. Education Aid is better than A-one.Q.How many colleges have overall scores between 31 and 40, both inclusive?a)0b)2c)1d)3Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
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