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.
Q. In a group of six friends, X is taller than Y but shorter than Z. W is shorter than X but taller than V. U is the shortest. Who is the tallest? (2023)
A.
X
B.
Y
C.
Z
D.
W
Solution
The order of height is U < V < W < X < Z. Therefore, Z is the tallest.
Q. In a harmonic progression, if the first term is 1 and the second term is 1/2, what is the common difference of the corresponding arithmetic progression?
A.
1/2
B.
1/4
C.
1/6
D.
1/8
Solution
The reciprocals are 1 and 2, which are in arithmetic progression with a common difference of 1/2.
Q. In a harmonic progression, if the first term is 2 and the second term is 3, what is the third term?
A.
4
B.
5
C.
6
D.
7
Solution
In a harmonic progression, the reciprocals of the terms form an arithmetic progression. The reciprocals of 2 and 3 are 1/2 and 1/3. The common difference is 1/3 - 1/2 = -1/6. The third term's reciprocal will be 1/3 - 1/6 = 1/6, so the third term is 6.
Q. In a harmonic progression, if the first term is 2 and the second term is 4, what is the third term?
A.
1
B.
3
C.
6
D.
8
Solution
In a harmonic progression, the reciprocals of the terms form an arithmetic progression. The reciprocals of 2 and 4 are 1/2 and 1/4. The common difference is -1/4. Therefore, the third term's reciprocal is 1/4 - 1/4 = 0, which means the third term is 1.
Q. In a harmonic progression, if the first term is 2 and the second term is 4/3, what is the third term?
A.
1
B.
3/2
C.
2/3
D.
1/2
Solution
In a harmonic progression, the reciprocals of the terms form an arithmetic progression. The reciprocals of the first two terms are 1/2 and 3/4. The common difference is 1/4, so the reciprocal of the third term is 1/2 + 1/4 = 3/4. Therefore, the third term is 1/(3/4) = 4/3.
Q. In a harmonic progression, if the first term is 3 and the second term is 6, what is the third term?
A.
9
B.
12
C.
15
D.
18
Solution
The reciprocals of the terms are 1/3 and 1/6. The common difference is (1/6 - 1/3) = -1/6. The third term's reciprocal will be 1/6 - 1/6 = 0, which means the third term is 1/12, thus the answer is 12.
Q. In a harmonic progression, if the first term is 3 and the second term is 6, what is the common difference of the corresponding arithmetic progression?
A.
1
B.
2
C.
3
D.
4
Solution
The reciprocals of the first two terms are 1/3 and 1/6. The common difference is 1/6 - 1/3 = -1/6, which is incorrect. The correct common difference is 1/3 - 1/6 = 1/6.
Q. In a harmonic progression, if the first term is 4 and the second term is 2, what is the common difference of the corresponding arithmetic progression?
A.
1
B.
2
C.
3
D.
4
Solution
The reciprocals of the terms are 1/4 and 1/2. The common difference is 1/2 - 1/4 = 1/4.
Q. In a harmonic progression, if the first term is 4 and the second term is 8, what is the common difference of the corresponding arithmetic progression?
A.
1
B.
2
C.
3
D.
4
Solution
The reciprocals are 1/4 and 1/8. The common difference is 1/8 - 1/4 = -1/8, which means the common difference of the corresponding arithmetic progression is 1/8.
Q. In a harmonic progression, if the first term is 4 and the second term is 8, what is the third term?
A.
12
B.
16
C.
20
D.
24
Solution
The reciprocals are 1/4 and 1/8. The common difference is 1/8 - 1/4 = -1/8. The third term's reciprocal will be 1/8 - 1/8 = 0, hence the third term is 16.
Q. In a harmonic progression, if the first term is 5 and the common difference of the corresponding arithmetic progression is 2, what is the second term?
A.
2.5
B.
3.33
C.
4
D.
6
Solution
The first term is 5, and the second term in the harmonic progression corresponds to the reciprocal of the second term in the arithmetic progression, which is 5 + 2 = 7. Thus, the second term is 1/7.
Q. In a harmonic progression, if the first term is 5 and the second term is 10, what is the common difference of the corresponding arithmetic progression?
A.
1
B.
2
C.
3
D.
5
Solution
The reciprocals are 1/5 and 1/10. The common difference is 1/10 - 1/5 = -1/10, which is the difference in the arithmetic progression.
Q. In a harmonic progression, if the first term is a and the second term is b, what is the formula for the nth term?
A.
1/(1/n + 1/a)
B.
1/(1/n + 1/b)
C.
1/(1/a + 1/b)
D.
1/(1/a - 1/b)
Solution
The nth term of a harmonic progression can be expressed as 1/(1/a + (n-1)d) where d is the common difference of the corresponding arithmetic progression.
Q. In a hybrid set scenario, if element x belongs to set A and element y belongs to set B, which of the following can be inferred about their relationship in the hybrid set?
A.
Element x is equal to element y.
B.
Element x and element y are both included in the hybrid set.
C.
Element x cannot be in the hybrid set.
D.
Element y is a subset of element x.
Solution
Both elements x and y can be included in the hybrid set as they belong to their respective sets.
Correct Answer:
B
— Element x and element y are both included in the hybrid set.
Q. In a hybrid set scenario, if element x is in set A and element y is in set B, which of the following can be inferred about their relationship in the hybrid set?
A.
Element x is equal to element y.
B.
Element x and element y are both in the hybrid set.
C.
Element x is not in the hybrid set.
D.
Element y is not in the hybrid set.
Solution
If both elements belong to their respective sets, they will also be included in the hybrid set.
Correct Answer:
B
— Element x and element y are both in the hybrid set.
Q. In a hybrid set scenario, if set C = {a, b, c} and set D = {b, c, d}, which of the following is the correct representation of the symmetric difference between set C and set D? (2023)
A.
{a, d}
B.
{a, b, c, d}
C.
{b, c}
D.
{a, b, c, d, e}
Solution
The symmetric difference includes elements that are in either set but not in both, which results in {a, d}.
Q. In a hybrid set scenario, if set D has 5 elements and set E has 3 elements with 2 elements in common, what is the maximum number of unique elements in the hybrid set?
A.
6
B.
7
C.
8
D.
9
Solution
The maximum number of unique elements is calculated as (5 + 3 - 2) = 6.
