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CAT MCQ & Objective Questions

The Common Admission Test (CAT) is a crucial examination for students aspiring to pursue management studies in India. Mastering CAT MCQ and objective questions is essential for scoring well and gaining admission into top institutions. Practicing these types of questions not only enhances your understanding of key concepts but also boosts your confidence during exam preparation.

What You Will Practise Here

Quantitative Aptitude: Key formulas and problem-solving techniques
Data Interpretation: Understanding graphs, charts, and tables
Logical Reasoning: Techniques to tackle complex reasoning problems
Verbal Ability: Vocabulary, grammar, and comprehension skills
General Knowledge: Current affairs and business awareness
Important CAT questions for exams: Previous year papers and sample questions

Exam Relevance

The CAT exam is not only significant for management aspirants but also serves as a benchmark for various competitive exams in India, including CBSE, State Boards, NEET, and JEE. Questions related to CAT concepts often appear in different formats, such as multiple-choice questions (MCQs) and objective-type questions. Familiarity with these patterns can greatly enhance your performance across various subjects.

Common Mistakes Students Make

Overlooking basic concepts while attempting advanced questions
Misinterpreting data in graphs and tables
Neglecting time management during practice sessions
Ignoring the importance of vocabulary in verbal ability sections

FAQs

Question: What are CAT MCQ questions?
Answer: CAT MCQ questions are multiple-choice questions designed to test your understanding of various subjects relevant to management studies.

Question: How can I find CAT objective questions with answers?
Answer: You can access a variety of CAT objective questions with answers through practice papers and online resources tailored for exam preparation.

Now is the time to take charge of your exam preparation! Start solving practice MCQs to test your understanding and improve your performance. Remember, consistent practice is the key to success in mastering CAT and achieving your academic goals.

LRDI (CAT) Quantitative Aptitude (CAT) VARC (CAT)

Q. If the polynomial f(x) = x^3 - 6x^2 + 11x - 6 is factored, which of the following is one of its factors?

A. x - 1
B. x + 2
C. x - 3
D. x + 1

Solution

The polynomial can be factored as (x - 1)(x - 2)(x - 3), so x - 1 is one of its factors.

Correct Answer: A — x - 1

Q. If the polynomial f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1 is evaluated at x = 1, what is the result?

A. 1
B. 0
C. 2
D. 3

Solution

Substituting x = 1 into the polynomial gives f(1) = 1 - 4 + 6 - 4 + 1 = 0.

Correct Answer: A — 1

Q. If the polynomial f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1, what can be inferred about its symmetry?

A. It is symmetric about the y-axis.
B. It is symmetric about the x-axis.
C. It is symmetric about the origin.
D. It is symmetric about the line x = 1.

Solution

The polynomial can be rewritten in a form that shows symmetry about the line x = 1.

Correct Answer: D — It is symmetric about the line x = 1.

Q. If the polynomial g(x) = x^2 + bx + c has a double root, what can be inferred about its discriminant?

A. It is greater than zero.
B. It is less than zero.
C. It is equal to zero.
D. It can be any value.

Solution

A polynomial has a double root when its discriminant is equal to zero.

Correct Answer: C — It is equal to zero.

Q. If the polynomial g(x) = x^2 + bx + c has roots -2 and 3, what is the value of b?

A. 1
B. -1
C. 5
D. -5

Solution

Using Vieta's formulas, the sum of the roots (-2 + 3) = 1, which means b = -1.

Correct Answer: C — 5

Q. If the polynomial P(x) = x^2 + bx + c has roots 3 and -2, what is the value of b?

A. 1
B. 5
C. -1
D. -5

Solution

Using Vieta's formulas, the sum of the roots (3 + (-2)) = 1, hence b = -1.

Correct Answer: B — 5

Q. If the polynomial P(x) = x^2 - 5x + 6 has roots r1 and r2, what is the value of r1 + r2?

A. 5
B. -5
C. 6
D. -6

Solution

According to Vieta's formulas, the sum of the roots r1 + r2 of the polynomial x^2 - 5x + 6 is equal to the coefficient of x (which is -(-5)) = 5.

Correct Answer: A — 5

Q. If the polynomial P(x) = x^2 - 5x + 6 is factored, what are the roots of the polynomial?

A. 2 and 3
B. 1 and 6
C. 3 and 2
D. 0 and 5

Solution

Factoring the polynomial gives (x - 2)(x - 3), so the roots are 2 and 3.

Correct Answer: A — 2 and 3

Q. If the polynomial P(x) = x^2 - 5x + 6 is factored, what are the roots?

A. 2 and 3
B. 1 and 6
C. 3 and 2
D. 0 and 6

Solution

Factoring the polynomial P(x) gives (x - 2)(x - 3), so the roots are 2 and 3.

Correct Answer: A — 2 and 3

Q. If the polynomial P(x) = x^3 - 3x^2 + 4 has a local maximum at x = 1, what is the value of P(1)?

A. 2
B. 0
C. 1
D. 4

Solution

Calculating P(1) gives 1^3 - 3(1^2) + 4 = 1 - 3 + 4 = 2.

Correct Answer: A — 2

Q. If the price of a book is increased by 10% and the new price is $22, what was the original price?

A. $20
B. $18
C. $19
D. $21

Solution

Let the original price be x. The new price after a 10% increase is x + 0.1x = 1.1x. Setting this equal to $22 gives us 1.1x = 22, so x = 22/1.1 = 20. Therefore, the original price was $20.

Correct Answer: A — $20

Q. If the price of a book is increased by 10% and then decreased by 10%, what is the net change in price?

A. 0%
B. 1%
C. 2%
D. 3%

Solution

Let the original price be $100. After a 10% increase, the price becomes $110. After a 10% decrease, the price becomes $110 - $11 = $99. The net change is -1%, so the answer is 0%.

Correct Answer: A — 0%

Q. If the price of a book is increased by 20% and the new price is $24, what was the original price?

A. $18
B. $20
C. $22
D. $25

Solution

Let the original price be x. Then, x + 0.2x = 24, or 1.2x = 24. Thus, x = 24 / 1.2 = 20.

Correct Answer: B — $20

Q. If the price of a book is increased by 20% and then decreased by 20%, what is the net change in price?

A. 0%
B. 4%
C. 5%
D. 6%

Solution

Let the original price be Rs. 100. After a 20% increase, price = 120. After a 20% decrease, price = 120 - 24 = 96. Net change = (96 - 100)/100 * 100 = -4%.

Correct Answer: B — 4%

Q. If the price of a book is increased by 20% and then decreased by 20%, what is the net change in the price?

A. 0%
B. 4%
C. 5%
D. 6%

Solution

Let the original price be $100. After a 20% increase, the price becomes $120. After a 20% decrease, the price becomes $120 - 0.20 × 120 = $96. The net change is (96 - 100)/100 × 100 = -4%.

Correct Answer: C — 5%

Q. If the price of a shirt is increased by 20% and then decreased by 20%, what is the net change in the price of the shirt?

A. 0%
B. 4%
C. 8%
D. 10%

Solution

Let the original price be 100. After a 20% increase, the price is 120. After a 20% decrease, the price is 96. Net change = (96-100)/100 * 100% = -4%.

Correct Answer: B — 4%

Q. If the price of a shirt is increased by 20% and then decreased by 20%, what is the net change in the price?

A. 0%
B. 4%
C. 5%
D. 6%

Solution

Let the original price be 100. After a 20% increase, price = 120. After a 20% decrease, price = 120 - 24 = 96. Net change = (96 - 100)/100 * 100% = -4%.

Correct Answer: B — 4%

Q. If the principal amount is $2000 and the total amount after 3 years at a certain rate of simple interest is $2400, what is the rate of interest? (2000)

A. 5%
B. 6.67%
C. 10%
D. 12%

Solution

The interest earned is $400. Using SI = PRT, we have 400 = 2000 * R * 3. Solving for R gives R = 6.67%.

Correct Answer: B — 6.67%

Q. If the principal is $2000 and the rate of interest is 4% per annum, what will be the total amount after 5 years at simple interest? (2000)

A. $2400
B. $2500
C. $2600
D. $2700

Solution

Using A = P + SI, where SI = P * r * t / 100, we have SI = 2000 * 4 * 5 / 100 = $400. Thus, A = 2000 + 400 = $2400.

Correct Answer: A — $2400

Q. If the principal is $800 and the rate of interest is 4% per annum, what will be the total amount after 3 years at simple interest?

A. $840
B. $850
C. $860
D. $870

Solution

Using the simple interest formula, Total Amount = Principal + SI = 800 + (800 * 4 * 3) / 100 = $840.

Correct Answer: A — $840

Q. If the principal is $800 and the rate of interest is 6% per annum, what will be the total amount after 4 years at simple interest?

A. $960
B. $1040
C. $800
D. $840

Solution

Total amount = Principal + SI = 800 + (800 * 6/100 * 4) = $1040.

Correct Answer: B — $1040

Q. If the principal is Rs. 5000 and the rate of interest is 12% per annum, what will be the total amount after 3 years under simple interest?

A. Rs. 5600
B. Rs. 5800
C. Rs. 6000
D. Rs. 6200

Solution

Simple Interest = P * r * t = 5000 * 0.12 * 3 = 1800. Total Amount = Principal + Interest = 5000 + 1800 = 6800.

Correct Answer: B — Rs. 5800

Q. If the probability of a student passing an exam is 0.75, what is the probability that the student fails?

A. 0.25
B. 0.5
C. 0.75
D. 0.1

Solution

The probability of failing is 1 - P(passing) = 1 - 0.75 = 0.25.

Correct Answer: A — 0.25

Q. If the probability of event A is 0.2 and the probability of event B is 0.5, what is the probability of either A or B occurring if A and B are independent?

A. 0.7
B. 0.6
C. 0.5
D. 0.4

Solution

The probability of either A or B occurring is P(A) + P(B) - P(A and B) = 0.2 + 0.5 - (0.2 * 0.5) = 0.7.

Correct Answer: A — 0.7

Q. If the probability of event A is 0.4 and the probability of event B is 0.5, what is the probability of both A and B occurring if they are independent?

A. 0.2
B. 0.4
C. 0.5
D. 0.9

Solution

For independent events, P(A and B) = P(A) * P(B) = 0.4 * 0.5 = 0.2.

Correct Answer: A — 0.2

Q. If the probability of event C is 0.2 and the probability of event D is 0.3, what is the probability of either C or D occurring if they are mutually exclusive?

A. 0.5
B. 0.6
C. 0.3
D. 0.2

Solution

For mutually exclusive events, P(C or D) = P(C) + P(D) = 0.2 + 0.3 = 0.5.

Correct Answer: B — 0.6

Q. If the probability of rain tomorrow is 0.7, what is the probability that it will not rain?

A. 0.3
B. 0.5
C. 0.7
D. 0.9

Solution

The probability that it will not rain is 1 - 0.7 = 0.3.

Correct Answer: A — 0.3

Q. If the product of two consecutive integers is 72, which of the following pairs could represent those integers?

A. 8 and 9
B. 6 and 7
C. 5 and 6
D. 4 and 5

Solution

The product of 6 and 7 is 42, while 8 and 9 gives 72. Therefore, the correct pair is 8 and 9.

Correct Answer: B — 6 and 7

Q. If the product of two consecutive integers is 72, which of the following pairs could represent these integers?

A. 8 and 9
B. 6 and 7
C. 5 and 6
D. 9 and 10

Solution

6 and 7 are consecutive integers whose product is 42, not 72.

Correct Answer: B — 6 and 7

Q. If the product of two numbers is 144 and one of the numbers is 12, what is the other number? (2023)

A. 12
B. 10
C. 8
D. 6

Solution

The other number can be found by dividing the product by the known number: 144 / 12 = 12.

Correct Answer: D — 6

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