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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 7^(x) = 1/49, what is the value of x? (2023)

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

Solution

Since 1/49 can be expressed as 7^(-2), we have 7^x = 7^(-2), thus x = -2.

Correct Answer: A — -2

Q. If 80% of a group like sports, 50% like music, and 30% like both, what percentage like only sports?

A. 50%
B. 30%
C. 20%
D. 80%

Solution

The percentage of people who like only sports is 80% - 30% = 50%.

Correct Answer: A — 50%

Q. If 80% of a population likes tea, 60% likes coffee, and 30% likes both, what percentage likes at least one of the two?

A. 50%
B. 60%
C. 80%
D. 100%

Solution

Using inclusion-exclusion, the percentage liking at least one is 80% + 60% - 30% = 110%, which is capped at 100%.

Correct Answer: C — 80%

Q. If 8x ≡ 4 (mod 12), what is the value of x?

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

Solution

Dividing both sides by 4 gives 2x ≡ 1 (mod 3). The solution is x = 2.

Correct Answer: B — 2

Q. If a = 2 and b = 3, what is the value of 2a + 3b?

A. 12
B. 11
C. 10
D. 9

Solution

Substituting the values gives 2(2) + 3(3) = 4 + 9 = 13.

Correct Answer: A — 12

Q. If a = 2 and b = 3, what is the value of a^b + b^a?

A. 11
B. 17
C. 19
D. 25

Solution

Calculating, a^b = 2^3 = 8 and b^a = 3^2 = 9, thus a^b + b^a = 8 + 9 = 17.

Correct Answer: B — 17

Q. If a = 2 and b = 3, what is the value of the expression 2a^2 + 3b?

A. 12
B. 15
C. 18
D. 21

Solution

Substituting gives 2(2^2) + 3(3) = 8 + 9 = 17.

Correct Answer: B — 15

Q. If a = 3 and b = 2, what is the value of a^b + b^a?

A. 11
B. 17
C. 19
D. 25

Solution

Calculating 3^2 = 9 and 2^3 = 8, thus 9 + 8 = 17.

Correct Answer: B — 17

Q. If a basketball tournament has 10 teams and each team plays every other team twice, how many total games are played?

A. 45
B. 90
C. 100
D. 110

Solution

The total number of games is calculated as 10 teams * 9 opponents * 2 games = 90.

Correct Answer: B — 90

Q. If a book costs $15 and is on sale for 20% off, what is the sale price?

A. $12
B. $10
C. $11
D. $13

Solution

The discount is 20% of $15, which is 0.2 × 15 = $3. Therefore, the sale price is $15 - $3 = $12.

Correct Answer: A — $12

Q. If a box contains 3 red balls and 2 blue balls, what is the probability of randomly selecting a red ball?

A. 1/2
B. 3/5
C. 2/5
D. 1/5

Solution

Total balls = 3 + 2 = 5. Probability of selecting a red ball = Number of red balls / Total balls = 3/5.

Correct Answer: B — 3/5

Q. If a box contains 4 defective and 16 non-defective items, what is the probability of selecting a non-defective item?

A. 1/5
B. 4/20
C. 4/16
D. 16/20

Solution

The probability of selecting a non-defective item is 16/(4+16) = 16/20 = 4/5.

Correct Answer: D — 16/20

Q. If a car covers a distance of 150 km in 3 hours, what is its speed in km/h?

A. 45
B. 50
C. 55
D. 60

Solution

Speed = Distance/Time = 150 km / 3 h = 50 km/h.

Correct Answer: B — 50

Q. If a car travels 120 km at a speed of 60 km/h and then 180 km at a speed of 90 km/h, what is the total time taken for the journey?

A. 3 hours
B. 4 hours
C. 5 hours
D. 6 hours

Solution

Time for first part = 120/60 = 2 hours; Time for second part = 180/90 = 2 hours. Total time = 2 + 2 = 4 hours.

Correct Answer: B — 4 hours

Q. If a car travels 120 km in 2 hours, what is its speed in km/h?

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h

Solution

Speed = Distance / Time = 120 km / 2 hours = 60 km/h.

Correct Answer: B — 60 km/h

Q. If a car travels 150 km in 2 hours, what is its speed in km/h?

A. 60
B. 70
C. 75
D. 80

Solution

Speed = Distance / Time = 150 km / 2 hours = 75 km/h.

Correct Answer: C — 75

Q. If a car travels 150 km in 3 hours, what is its average speed in km/h?

A. 45
B. 50
C. 55
D. 60

Solution

Average speed = Total distance / Total time = 150 km / 3 hours = 50 km/h.

Correct Answer: B — 50

Q. If a car travels 60 km in 1 hour and 30 minutes, what is its average speed in km/h?

A. 40
B. 45
C. 50
D. 55

Solution

The total time taken is 1.5 hours. Average speed = total distance / total time = 60 km / 1.5 h = 40 km/h.

Correct Answer: B — 45

Q. If a car's value depreciates by 10% each year, what will be its value after 3 years if its current value is $20,000? (2023)

A. $14,580
B. $15,000
C. $16,000
D. $18,000

Solution

After 1 year: $20,000 * 0.9 = $18,000; After 2 years: $18,000 * 0.9 = $16,200; After 3 years: $16,200 * 0.9 = $14,580.

Correct Answer: A — $14,580

Q. If a circle has a circumference of 62.8 cm, what is its diameter?

A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm

Solution

Using the formula C = πd, we find d = C/π = 62.8/3.14 = 20 cm.

Correct Answer: B — 20 cm

Q. If a circle has a radius of 10 cm, what is the length of an arc that subtends a central angle of 90 degrees?

A. 15.7 cm
B. 25 cm
C. 17.5 cm
D. 20 cm

Solution

The length of an arc is given by L = (θ/360) * 2πr. Here, L = (90/360) * 2π(10) = 17.5 cm.

Correct Answer: C — 17.5 cm

Q. If a circle has a radius of 7 cm, what is its area? (2020)

A. 154 cm²
B. 49 cm²
C. 28 cm²
D. 14 cm²

Solution

The area of a circle is calculated using A = πr². Thus, A = π(7)² = 49π ≈ 154 cm².

Correct Answer: A — 154 cm²

Q. If a circle is centered at (0, 0) with a radius of 5, which of the following points lies outside the circle?

A. (3, 4)
B. (0, 5)
C. (5, 0)
D. (6, 0)

Solution

The equation of the circle is x² + y² = 25. The point (6, 0) gives 6² + 0² = 36, which is greater than 25, hence it lies outside.

Correct Answer: D — (6, 0)

Q. If a class is scheduled every Tuesday and Thursday, which of the following days can a student not attend without missing a class?

A. Monday
B. Wednesday
C. Friday
D. Saturday

Solution

Wednesday is the only day where a student cannot attend without missing a class.

Correct Answer: B — Wednesday

Q. If a committee of 3 is to be formed from 5 people, how many different committees can be formed?

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

Solution

The number of ways to choose 3 people from 5 is given by 5C3 = 10.

Correct Answer: B — 15

Q. If a committee of 3 members is to be formed from a group of 5 people, how many different committees can be formed?

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

Solution

The number of ways to choose 3 members from 5 is given by 5C3 = 10.

Correct Answer: A — 10

Q. If a company allocates its budget primarily to marketing rather than research and development, which of the following is a potential risk?

A. Increased brand awareness.
B. Short-term sales growth.
C. Neglecting innovation and long-term growth.
D. Higher customer engagement.

Solution

Focusing on marketing at the expense of R&D can lead to neglecting innovation, which is a long-term risk, making option 2 the correct choice.

Correct Answer: C — Neglecting innovation and long-term growth.

Q. If a company implements a four-day workweek, which of the following can be inferred?

A. Employee productivity will definitely increase.
B. All employees will prefer a four-day workweek.
C. Some employees may find a four-day workweek beneficial.
D. The company will save money with fewer workdays.

Solution

While the change may benefit some employees, it does not guarantee that all will find it advantageous.

Correct Answer: C — Some employees may find a four-day workweek beneficial.

Q. If a company reallocates its budget from research and development to marketing, what is the likely impact on innovation? (2023)

A. Innovation may increase due to better marketing.
B. Innovation may decrease due to reduced funding for R&D.
C. There will be no impact on innovation.
D. Innovation will be maintained at the same level.

Solution

Reallocating budget from R&D to marketing is likely to decrease innovation due to reduced funding for research, making option 1 correct.

Correct Answer: B — Innovation may decrease due to reduced funding for R&D.

Q. If a company reports a significant increase in profits after implementing a new marketing strategy, which of the following can be inferred?

A. The new marketing strategy is the sole reason for the profit increase.
B. All companies should adopt similar marketing strategies.
C. The company had no profits before the new strategy.
D. The new marketing strategy may have contributed to the profit increase.

Solution

While the new strategy may have contributed to the profit increase, it cannot be concluded that it is the sole reason without further evidence.

Correct Answer: D — The new marketing strategy may have contributed to the profit increase.

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