Q. In a classroom, the teacher has 24 pencils and wants to distribute them equally among students. If each student receives a multiple of 3 pencils, how many students can receive pencils?
A.
6
B.
8
C.
4
D.
3
Solution
The multiples of 3 that can divide 24 are 3, 6, 9, and 12. The maximum number of students that can receive pencils is 8 (3 pencils each).
Q. In a classroom, the teacher has 48 pencils and wants to distribute them equally among students. If each student receives a multiple of 4 pencils, what is the maximum number of students that can receive pencils?
A.
12
B.
16
C.
8
D.
6
Solution
The maximum number of students is 12, as 48 ÷ 4 = 12.
Q. In a classroom, the teacher wants to arrange chairs in rows such that each row has the same number of chairs. If there are 48 chairs and the number of rows must be a factor of 48, which of the following is NOT a possible number of rows?
A.
4
B.
6
C.
8
D.
10
Solution
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. 10 is not a factor of 48.
Q. In a classroom, the teacher wants to arrange chairs in rows such that each row has the same number of chairs. If there are 36 chairs, which of the following is NOT a possible number of chairs per row?
A.
1
B.
2
C.
3
D.
5
Solution
5 is not a factor of 36, hence it cannot be a possible number of chairs per row.
Q. In a classroom, the teacher wants to arrange students in groups such that each group has the same number of students. If there are 36 students, which of the following is NOT a possible group size? (2023)
A.
1
B.
2
C.
3
D.
10
Solution
The number 10 is not a factor of 36, hence it cannot be a group size.
Q. In a classroom, the teacher wants to arrange students in rows such that each row has the same number of students. If there are 24 students, which of the following arrangements is NOT possible?
A.
6 rows of 4 students
B.
8 rows of 3 students
C.
12 rows of 2 students
D.
5 rows of 5 students
Solution
5 rows of 5 students would require 25 students, which is not possible with only 24 students.
Q. In a clinical trial, 60% of patients showed improvement after treatment. If 150 patients were treated, how many patients are expected to show improvement? (2022)
Q. In a closed loop circuit, if the sum of the currents entering a junction is 10A and the sum of the currents leaving the junction is 6A, what is the current flowing through the junction?
A.
4A
B.
6A
C.
10A
D.
16A
Solution
According to Kirchhoff's current law, the current flowing into the junction must equal the current flowing out. Therefore, 10A - 6A = 4A is the current flowing through the junction.
Q. In a closed loop circuit, if the sum of the voltage rises is 10V and the sum of the voltage drops is 6V, what is the net voltage in the loop according to Kirchhoff's Voltage Law?
A.
4V
B.
6V
C.
10V
D.
16V
Solution
According to Kirchhoff's Voltage Law, the net voltage in the loop is the sum of rises minus the sum of drops: 10V - 6V = 4V.
Q. In a closed loop circuit, if the sum of the voltage rises is 20V and the sum of the voltage drops is 15V, what is the net voltage in the loop according to Kirchhoff's Voltage Law?
A.
5V
B.
15V
C.
20V
D.
35V
Solution
According to Kirchhoff's Voltage Law, the net voltage in the loop is the sum of voltage rises minus the sum of voltage drops: 20V - 15V = 5V.
Q. In a closed loop, if the net current is zero, what can be said about the magnetic field according to Ampere's Law?
A.
The magnetic field is zero everywhere
B.
The magnetic field is uniform
C.
The magnetic field can be non-zero
D.
The magnetic field is only zero at the center
Solution
According to Ampere's Law, if the net current through a closed loop is zero, the line integral of the magnetic field around that loop is also zero, but the magnetic field can still be non-zero in some regions.
Correct Answer:
C
— The magnetic field can be non-zero
Q. In a closed system at equilibrium, if the pressure is increased, what will happen to the equilibrium position if there are more moles of gas on the reactant side?
A.
Shift to the right
B.
Shift to the left
C.
No change
D.
Increase in temperature
Solution
Increasing the pressure will shift the equilibrium to the side with fewer moles of gas, which in this case is the right side.
Q. In a closed system, if the internal energy increases, what can be said about the work done and heat added? (2020)
A.
Work done is positive and heat added is negative
B.
Work done is negative and heat added is positive
C.
Both work done and heat added are positive
D.
Both work done and heat added are negative
Solution
According to the first law of thermodynamics, if the internal energy increases, it implies that either work is done on the system or heat is added to the system.
Correct Answer:
C
— Both work done and heat added are positive
Q. In a closed system, if the internal energy increases, what can be said about the heat and work done? (2020)
A.
Heat is added and work is done on the system
B.
Heat is removed and work is done by the system
C.
Heat is added and work is done by the system
D.
No heat exchange occurs
Solution
According to the first law of thermodynamics, if the internal energy increases, it implies that heat is added to the system and/or work is done on the system.
Correct Answer:
A
— Heat is added and work is done on the system
Q. In a closed system, if the temperature of an ideal gas is doubled while keeping the volume constant, what happens to the pressure?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Solution
According to Gay-Lussac's law, pressure is directly proportional to temperature at constant volume. Therefore, if the temperature doubles, the pressure also doubles.
Q. In a closed system, if the temperature of an ideal gas is doubled while the volume remains constant, what happens to the pressure?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Solution
According to Gay-Lussac's law, pressure is directly proportional to temperature at constant volume. Therefore, if the temperature doubles, the pressure also doubles.
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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