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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 Binomial Theorem is applied to (x + y)^4, what is the term containing x^2y^2?

A. 6x^2y^2
B. 4x^2y^2
C. 8x^2y^2
D. 12x^2y^2

Solution

The term containing x^2y^2 in the expansion of (x + y)^4 is given by 4C2 * x^2 * y^2 = 6x^2y^2.

Correct Answer: A — 6x^2y^2

Q. If the Binomial Theorem is used to expand (3x - 2)^4, what is the constant term?

A. 81
B. -81
C. 0
D. -16

Solution

The constant term occurs when x^0, which is the term with k = 4: C(4, 4)(-2)^4 = 16, thus the constant term is -16.

Correct Answer: B — -81

Q. If the Binomial Theorem is used to expand (a + b)^7, how many terms will be in the expansion?

A. 6
B. 7
C. 8
D. 9

Solution

The number of terms in the expansion of (a + b)^n is n + 1, so for n = 7, there will be 8 terms.

Correct Answer: C — 8

Q. If the Binomial Theorem is used to expand (x + 1/x)^6, what is the term containing x^0?

A. 15
B. 20
C. 6
D. 10

Solution

The term containing x^0 occurs when k = 3, which gives 6C3 * 1^3 * (1/x)^3 = 20.

Correct Answer: B — 20

Q. If the circumference of a circle is 31.4 cm, what is the radius of the circle? (Use π = 3.14) (2022)

A. 5 cm
B. 7 cm
C. 10 cm
D. 15 cm

Solution

Circumference = 2πr. Therefore, r = circumference / (2π) = 31.4 / (2 * 3.14) = 5 cm.

Correct Answer: A — 5 cm

Q. If the circumference of a circle is 31.4 cm, what is the radius?

A. 5 cm
B. 10 cm
C. 15 cm
D. 20 cm

Solution

Using the formula C = 2πr, we find r = C/(2π) = 31.4/(2*3.14) = 5 cm.

Correct Answer: A — 5 cm

Q. If the coefficient of x^k in the expansion of (x + 1)^n is given by C(n,k), what does C(n,k) represent?

A. The number of ways to choose k items from n.
B. The total number of terms in the expansion.
C. The sum of the coefficients.
D. The product of the coefficients.

Solution

C(n,k) represents the number of ways to choose k items from n, which corresponds to the coefficient of x^k.

Correct Answer: A — The number of ways to choose k items from n.

Q. If the common ratio of a GP is negative, which of the following statements is true?

A. The terms will always be positive.
B. The terms will alternate in sign.
C. The sum of the terms will be negative.
D. The first term must be negative.

Solution

In a GP with a negative common ratio, the terms will alternate in sign, starting from the sign of the first term.

Correct Answer: B — The terms will alternate in sign.

Q. If the compound interest on a sum of money for 2 years is $400 and the principal is $1600, what is the rate of interest? (2023)

A. 10%
B. 12.5%
C. 15%
D. 20%

Solution

Using the formula CI = P[(1 + r)^n - 1], we can set up the equation 400 = 1600[(1 + r)^2 - 1]. Solving gives r = 12.5%.

Correct Answer: B — 12.5%

Q. If the coordinates of a point are (x, y) such that x + y = 10 and x - y = 2, what are the coordinates of the point?

A. (6, 4)
B. (5, 5)
C. (4, 6)
D. (2, 8)

Solution

Solving the equations x + y = 10 and x - y = 2 simultaneously gives x = 6 and y = 4.

Correct Answer: A — (6, 4)

Q. If the coordinates of point C are (x, 0) and it lies on the line y = -3x + 6, what is the value of x?

A. 1
B. 2
C. 3
D. 4

Solution

Setting y = 0 in the equation -3x + 6 = 0 gives x = 2.

Correct Answer: B — 2

Q. If the coordinates of points D and E are (2, 3) and (4, 7) respectively, what is the slope of the line DE?

A. 1
B. 2
C. 3
D. 4

Solution

The slope m is calculated as (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 4/2 = 2.

Correct Answer: B — 2

Q. If the cost price of an article is Rs. 500 and the selling price is Rs. 600, what is the profit percentage?

A. 20%
B. 25%
C. 30%
D. 35%

Solution

Profit = Selling Price - Cost Price = 600 - 500 = 100. Profit Percentage = (Profit/Cost Price) * 100 = (100/500) * 100 = 20%.

Correct Answer: B — 25%

Q. If the cost price of an item is Rs. 500 and the selling price is Rs. 600, what is the gain percentage?

A. 20%
B. 25%
C. 30%
D. 15%

Solution

Gain = Selling Price - Cost Price = 600 - 500 = 100. Gain percentage = (Gain/Cost Price) * 100 = (100/500) * 100 = 20%.

Correct Answer: B — 25%

Q. If the decimal number 10 is converted to binary, what is the resulting binary number? (2023)

A. 1010
B. 1001
C. 1100
D. 1110

Solution

The decimal number 10 is represented as 1010 in binary.

Correct Answer: A — 1010

Q. If the decimal number 15 is converted to binary, what is the resulting binary number?

A. 1110
B. 1111
C. 1101
D. 1011

Solution

The decimal number 15 is represented as 1111 in binary.

Correct Answer: B — 1111

Q. If the decimal number 255 is converted to binary, what is the resulting binary number?

A. 11111111
B. 11011111
C. 10111111
D. 10011111

Solution

The decimal number 255 converts to binary as 11111111.

Correct Answer: A — 11111111

Q. If the derivative of a function f(x) is positive for all x in its domain, what can be inferred about the function?

A. The function is decreasing.
B. The function is constant.
C. The function is increasing.
D. The function has a maximum point.

Solution

If the derivative of a function is positive for all x, it indicates that the function is increasing throughout its domain.

Correct Answer: C — The function is increasing.

Q. If the diagonal of a square is 10√2 cm, what is the area of the square?

A. 100 cm²
B. 200 cm²
C. 50 cm²
D. 150 cm²

Solution

The diagonal d of a square is related to the side length s by the formula d = s√2. Therefore, s = d/√2 = 10√2/√2 = 10 cm. The area is s² = 10² = 100 cm².

Correct Answer: B — 200 cm²

Q. If the diagonals of a quadrilateral are equal and bisect each other, which type of quadrilateral can it be?

A. Trapezium
B. Rectangle
C. Rhombus
D. Parallelogram

Solution

If the diagonals of a quadrilateral are equal and bisect each other, it can be classified as a rectangle.

Correct Answer: B — Rectangle

Q. If the diagonals of a quadrilateral bisect each other at right angles, which of the following could it be?

A. Rectangle
B. Square
C. Trapezium
D. Kite

Solution

A kite has diagonals that bisect each other at right angles.

Correct Answer: D — Kite

Q. If the diagonals of a quadrilateral bisect each other at right angles, which of the following can be concluded?

A. It is a rectangle.
B. It is a rhombus.
C. It is a trapezium.
D. It is a square.

Solution

If the diagonals of a quadrilateral bisect each other at right angles, it indicates that the quadrilateral is a rhombus.

Correct Answer: B — It is a rhombus.

Q. If the diagonals of a quadrilateral bisect each other, which of the following can be concluded? (2023)

A. The quadrilateral is a rectangle.
B. The quadrilateral is a rhombus.
C. The quadrilateral is a parallelogram.
D. The quadrilateral is a trapezium.

Solution

If the diagonals of a quadrilateral bisect each other, it is a property of parallelograms.

Correct Answer: C — The quadrilateral is a parallelogram.

Q. If the diagonals of a quadrilateral bisect each other, which of the following can be inferred?

A. The quadrilateral is a parallelogram.
B. The quadrilateral is a rectangle.
C. The quadrilateral is a rhombus.
D. The quadrilateral is a trapezium.

Solution

A quadrilateral with diagonals that bisect each other is a parallelogram, but it can also be a rectangle or rhombus.

Correct Answer: A — The quadrilateral is a parallelogram.

Q. If the diagonals of a quadrilateral bisect each other, which of the following could be true?

A. It is a rectangle.
B. It is a trapezium.
C. It is a parallelogram.
D. It is a kite.

Solution

If the diagonals of a quadrilateral bisect each other, it is a property of parallelograms.

Correct Answer: C — It is a parallelogram.

Q. If the diagonals of a quadrilateral bisect each other, which of the following must be true?

A. It is a rectangle.
B. It is a parallelogram.
C. It is a square.
D. It is a trapezium.

Solution

A quadrilateral with diagonals that bisect each other is a parallelogram.

Correct Answer: B — It is a parallelogram.

Q. If the difference between the compound interest and simple interest on a certain sum of money for 2 years at 10% is $50, what is the principal? (2000)

A. $1000
B. $1200
C. $1500
D. $2000

Solution

The difference between CI and SI for 2 years is given by P * (r^2)/100^2. Setting this equal to $50 and solving gives P = $1500.

Correct Answer: C — $1500

Q. If the difference between the compound interest and simple interest on a certain sum of money for 2 years at 10% per annum is $50, what is the principal? (2000)

A. $1000
B. $1200
C. $1500
D. $2000

Solution

The difference between compound interest and simple interest for 2 years is given by SI * (r/100)^2. Setting this equal to $50 and solving gives Principal = $1200.

Correct Answer: B — $1200

Q. If the difference between the compound interest and simple interest on a sum of money for 2 years at 10% per annum is $50, what is the principal? (2000)

A. $1000
B. $1200
C. $1500
D. $2000

Solution

The difference SI and CI for 2 years is given by P * r^2 / 200. Setting this equal to 50 gives P = $1500.

Correct Answer: C — $1500

Q. If the equation 2x + 3 = 11 is solved for x, what is the value of x?

A. 2
B. 3
C. 4
D. 5

Solution

To solve for x, subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Correct Answer: C — 4

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