Q. In a group of friends, P is taller than Q but shorter than R. S is shorter than T but taller than Q. If R is the tallest, who is the shortest? (2023)
Q. In a group of friends, X, Y, Z, and W are discussing their favorite colors. X likes blue, Y likes red, Z likes green, and W does not like blue or red. What color does W like?
A.
Blue
B.
Red
C.
Green
D.
Yellow
Solution
Since W does not like blue or red, and the only color left is green, W likes green.
Q. In a group of friends, X, Y, Z, and W are discussing their favorite sports. X likes football, Y likes basketball, Z likes cricket, and W likes tennis. If Z and W are not friends, who is likely to be friends with Y? (2023)
A.
X
B.
Z
C.
W
D.
None of the above
Solution
Since Z and W are not friends, Y, who likes basketball, is likely to be friends with X, who likes football.
Q. In a group of six friends, A is taller than B but shorter than C. D is shorter than E but taller than A. F is the tallest. Who is the shortest? (2023)
A.
A
B.
B
C.
D
D.
F
Solution
The order of height is F > C > A > D > E > B. Therefore, B is the shortest.
Q. In a group of six friends, W, X, Y, Z, A, and B, W is taller than X but shorter than Y. Z is shorter than A but taller than B. Who is the tallest? (2023)
A.
W
B.
X
C.
Y
D.
A
Solution
The order of height is B < Z < A and W < Y. Thus, Y is the tallest.
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 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 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 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.
Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.
What You Will Practise Here
Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams
Exam Relevance
The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.
Common Mistakes Students Make
Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam
FAQs
Question: How can I improve my performance in Major Competitive Exams? Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.
Question: What types of questions should I focus on for these exams? Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.
Question: Are there specific strategies for tackling objective questions? Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.
Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!
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