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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 sum of two numbers is 30 and one of the numbers is a multiple of 5, which of the following could be the other number?

A. 10
B. 15
C. 20
D. 25

Solution

If one number is 20 (a multiple of 5), the other number would be 10, making it a valid option.

Correct Answer: C — 20

Q. If the sum of two numbers is 30 and one of them is a multiple of 5, which of the following could be the two numbers?

A. 10 and 20
B. 15 and 15
C. 5 and 25
D. 12 and 18

Solution

5 and 25 add up to 30, and 25 is a multiple of 5.

Correct Answer: C — 5 and 25

Q. If the sum of two numbers is 30 and one of them is a multiple of 5, which of the following pairs could represent these numbers?

A. 10 and 20
B. 15 and 15
C. 5 and 25
D. 12 and 18

Solution

5 and 25 add up to 30, and 5 is a multiple of 5.

Correct Answer: C — 5 and 25

Q. If the sum of two numbers is 30 and one of them is a multiple of 6, which of the following could be the two numbers?

A. 12 and 18
B. 10 and 20
C. 6 and 24
D. 15 and 15

Solution

12 is a multiple of 6, and 12 + 18 = 30.

Correct Answer: A — 12 and 18

Q. If the sum of two numbers is 50 and both leave a remainder of 4 when divided by 6, what is the remainder when their sum is divided by 6? (2023)

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

Solution

Both numbers can be expressed as 6k + 4. Their sum is 12k + 8, which gives a remainder of 2 when divided by 6.

Correct Answer: A — 0

Q. If the sum of two numbers is a multiple of 10, which of the following can be inferred?

A. Both numbers are even.
B. Both numbers are odd.
C. At least one number is even.
D. At least one number is odd.

Solution

For the sum to be a multiple of 10, at least one of the numbers must be even.

Correct Answer: C — At least one number is even.

Q. If the surface area of a cube is 216 square meters, what is the length of one side of the cube?

A. 6 meters
B. 9 meters
C. 12 meters
D. 15 meters

Solution

The surface area of a cube is given by the formula SA = 6a². Setting 6a² = 216, we find a² = 36, thus a = 6 meters.

Correct Answer: B — 9 meters

Q. If the surface area of a cylinder is 150π cm² and the height is 10 cm, what is the radius?

A. 5 cm
B. 6 cm
C. 7 cm
D. 8 cm

Solution

The surface area of a cylinder is given by SA = 2πr(h + r). Setting 150π = 2πr(10 + r), we find r = 5 cm.

Correct Answer: A — 5 cm

Q. If the surface area of a cylinder is 150π cm² and the height is 5 cm, what is the radius?

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

Solution

The surface area of a cylinder is given by SA = 2πr(h + r). Setting 150π = 2πr(5 + r), we find r = 4 cm.

Correct Answer: C — 4 cm

Q. If the system of equations 2x + 3y = 6 and 4x + 6y = 12 is given, what can be inferred about the lines represented by these equations?

A. They intersect at one point.
B. They are parallel.
C. They are the same line.
D. They have no solutions.

Solution

The second equation is a multiple of the first, indicating that both equations represent the same line.

Correct Answer: C — They are the same line.

Q. If the terms of a harmonic progression are 1, 1/4, and 1/9, what is the common difference of the corresponding arithmetic progression?

A. 1/36
B. 1/12
C. 1/9
D. 1/4

Solution

The reciprocals are 1, 4, and 9. The common difference is 4 - 1 = 3.

Correct Answer: B — 1/12

Q. If the terms of a harmonic progression are 3, 6, and x, what is the value of x?

A. 9
B. 12
C. 15
D. 18

Solution

The reciprocals of the terms are 1/3, 1/6, and 1/x. Since they form an arithmetic progression, we can set up the equation: 1/6 - 1/3 = 1/x - 1/6, solving gives x = 12.

Correct Answer: B — 12

Q. If the terms of a harmonic progression are 4, 2, and x, what is the value of x?

A. 1
B. 1.5
C. 2
D. 3

Solution

The reciprocals are 1/4, 1/2, and 1/x. The common difference is 1/2 - 1/4 = 1/4, so 1/x = 1/2 + 1/4 = 3/4, thus x = 4/3.

Correct Answer: D — 3

Q. If the total sales for all products in Q4 were 1500 units, what percentage of total sales did Product B represent?

A. 20%
B. 30%
C. 40%
D. 50%

Solution

Product B represented 40% of total sales in Q4, selling 600 units.

Correct Answer: C — 40%

Q. If the total sales for Product A over the four quarters were 1200 units, what was the average sales per quarter?

A. 300
B. 350
C. 400
D. 450

Solution

The average sales per quarter for Product A is 1200 / 4 = 300 units.

Correct Answer: A — 300

Q. If the total sales of all fruits in the bar graph is 5000 units, and apples account for 30% of the total, how many units were sold? (2000)

A. 1500
B. 1000
C. 2000
D. 500

Solution

30% of 5000 units is 1500 units sold for apples.

Correct Answer: A — 1500

Q. If the total sales of all fruits in the bar graph is 5000 units, what percentage of total sales do apples represent if their sales are 1500 units?

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

Solution

Apples represent 1500 out of 5000 units, which is 30% of total sales.

Correct Answer: B — 30%

Q. If the trend continues as shown in the table, which product is likely to see the most significant increase in sales by Q4?

A. Product A
B. Product B
C. Product C
D. Product D

Solution

Product A shows a consistent upward trend, indicating a significant increase by Q4.

Correct Answer: A — Product A

Q. If the trend continues, which product is likely to see the most significant increase in sales by Q4?

A. Product A
B. Product B
C. Product C
D. Product D

Solution

Product A shows a consistent upward trend, indicating a likely increase in sales by Q4.

Correct Answer: A — Product A

Q. If the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, set A = {2, 4, 6, 8}, and set B = {1, 2, 3}, what is the complement of A?

A. {1, 3, 5, 7, 9, 10}
B. {1, 3, 5, 7, 9}
C. {2, 4, 6, 8}
D. {1, 2, 3}

Solution

The complement of A in U is the set of elements in U that are not in A, which is {1, 3, 5, 7, 9, 10}.

Correct Answer: A — {1, 3, 5, 7, 9, 10}

Q. If the universal set U = {1, 2, 3, 4, 5, 6} and set A = {2, 4, 6}, what is the complement of set A?

A. {1, 2, 3}
B. {1, 3, 5}
C. {2, 4, 6}
D. {4, 5, 6}

Solution

The complement of set A consists of elements in the universal set U that are not in set A. Therefore, the complement is {1, 3, 5}.

Correct Answer: B — {1, 3, 5}

Q. If the universal set U has 100 elements, set A has 40 elements, and set B has 30 elements with 10 elements in both A and B, how many elements are in neither A nor B?

A. 60
B. 70
C. 80
D. 50

Solution

Using the principle of inclusion-exclusion, the number of elements in either A or B is: (A + B - Both) = 40 + 30 - 10 = 60. Therefore, elements in neither = U - (A ∪ B) = 100 - 60 = 40.

Correct Answer: A — 60

Q. If the words 'apple', 'banana', 'cherry', and 'date' are arranged in reverse alphabetical order, which word comes first?

A. date
B. cherry
C. banana
D. apple

Solution

In reverse alphabetical order, 'date' comes first.

Correct Answer: A — date

Q. If the words 'cat', 'bat', 'rat', and 'hat' are arranged in alphabetical order, which word comes second?

A. bat
B. cat
C. hat
D. rat

Solution

In alphabetical order, 'bat' comes before 'cat', making it the second word.

Correct Answer: A — bat

Q. If the words 'quick', 'brown', and 'fox' are arranged to form a coherent sentence, which of the following is the correct arrangement?

A. The quick brown fox
B. Brown quick the fox
C. Fox the quick brown
D. Quick the brown fox

Solution

The correct arrangement that forms a coherent sentence is 'The quick brown fox'.

Correct Answer: A — The quick brown fox

Q. If two angles are complementary and one angle is 10 degrees less than the other, what are the measures of the two angles?

A. 40 and 50 degrees
B. 45 and 45 degrees
C. 35 and 55 degrees
D. 30 and 60 degrees

Solution

Let the two angles be x and x - 10. Since they are complementary, x + (x - 10) = 90. Solving gives x = 50 degrees, and the other angle is 40 degrees.

Correct Answer: A — 40 and 50 degrees

Q. If two angles are complementary and one angle is 10 degrees less than the other, what are the measures of the angles? (2023)

A. 40 degrees and 50 degrees
B. 45 degrees and 45 degrees
C. 35 degrees and 55 degrees
D. 30 degrees and 60 degrees

Solution

Let the angles be x and x - 10. Then, x + (x - 10) = 90. Solving gives x = 50 degrees and the other angle is 40 degrees.

Correct Answer: A — 40 degrees and 50 degrees

Q. If two angles are complementary and one angle is 10 degrees more than the other, what are the measures of the two angles?

A. 40 and 50 degrees
B. 45 and 45 degrees
C. 30 and 60 degrees
D. 35 and 55 degrees

Solution

Let the smaller angle be x. Then the larger angle is x + 10. Since they are complementary, x + (x + 10) = 90. Solving gives x = 40 degrees, so the angles are 40 and 50 degrees.

Correct Answer: A — 40 and 50 degrees

Q. If two angles are complementary and one angle is twice the other, what are the measures of the angles?

A. 30 degrees and 60 degrees
B. 20 degrees and 70 degrees
C. 45 degrees and 45 degrees
D. 10 degrees and 80 degrees

Solution

Let the smaller angle be x. Then the larger angle is 2x. The equation x + 2x = 90 gives x = 30 degrees and 2x = 60 degrees.

Correct Answer: A — 30 degrees and 60 degrees

Q. If two angles are complementary and one angle measures 25 degrees, what is the measure of the other angle?

A. 55 degrees
B. 65 degrees
C. 75 degrees
D. 85 degrees

Solution

Complementary angles add up to 90 degrees. Therefore, the other angle is 90 - 25 = 65 degrees.

Correct Answer: A — 55 degrees

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