The JEE Main exam is a crucial step for students aspiring to enter prestigious engineering colleges in India. It tests not only knowledge but also the ability to apply concepts effectively. Practicing MCQs and objective questions is essential for scoring better, as it helps in familiarizing students with the exam pattern and enhances their problem-solving skills. Engaging with practice questions allows students to identify important questions and strengthen their exam preparation.
What You Will Practise Here
Fundamental concepts of Physics, Chemistry, and Mathematics
Key formulas and their applications in problem-solving
Important definitions and theories relevant to JEE Main
Diagrams and graphical representations for better understanding
Numerical problems and their step-by-step solutions
Previous years' JEE Main questions for real exam experience
Time management strategies while solving MCQs
Exam Relevance
The topics covered in JEE Main are not only significant for the JEE exam but also appear in various CBSE and State Board examinations. Many concepts are shared with the NEET syllabus, making them relevant across multiple competitive exams. Common question patterns include conceptual applications, numerical problems, and theoretical questions that assess a student's understanding of core subjects.
Common Mistakes Students Make
Misinterpreting the question stem, leading to incorrect answers
Neglecting units in numerical problems, which can change the outcome
Overlooking negative marking and not managing time effectively
Relying too heavily on rote memorization instead of understanding concepts
Failing to review and analyze mistakes from practice tests
FAQs
Question: How can I improve my speed in solving JEE Main MCQ questions? Answer: Regular practice with timed quizzes and focusing on shortcuts can significantly enhance your speed.
Question: Are the JEE Main objective questions similar to previous years' papers? Answer: Yes, many questions are based on previous years' patterns, so practicing them can be beneficial.
Question: What is the best way to approach JEE Main practice questions? Answer: Start with understanding the concepts, then attempt practice questions, and finally review your answers to learn from mistakes.
Now is the time to take charge of your preparation! Dive into solving JEE Main MCQs and practice questions to test your understanding and boost your confidence for the exam.
Q. A kite is flying at a height of 50 meters. If the angle of elevation from a point on the ground to the kite is 30 degrees, how far is the point from the base of the kite?
Q. A ladder is leaning against a wall. The foot of the ladder is 12 meters away from the wall, and the angle between the ladder and the ground is 60 degrees. What is the height at which the ladder touches the wall?
A.
12√3 m
B.
6 m
C.
12 m
D.
24 m
Solution
Using sin(60°) = height/hypotenuse, we find the height = 12 * tan(60°) = 12√3 m.
Q. A length is measured as 100.0 m with an uncertainty of ±0.5 m. If this length is used to calculate the area of a square, what is the uncertainty in the area?
A.
1 m²
B.
0.5 m²
C.
2 m²
D.
0.25 m²
Solution
Area = L², so uncertainty in area = 2 * L * (uncertainty in L) = 2 * 100 * 0.5 = 100 m².
Q. A length is measured as 15.0 m with an uncertainty of ±0.2 m. What is the total uncertainty if this length is used in a calculation involving addition with another length of 10.0 m (±0.1 m)?
A.
0.3 m
B.
0.2 m
C.
0.1 m
D.
0.4 m
Solution
Total uncertainty = √((0.2)² + (0.1)²) = √(0.04 + 0.01) = √0.05 ≈ 0.224 m.
Q. A length is measured as 15.0 m with an uncertainty of ±0.3 m. If this length is used to calculate the area of a rectangle, what is the maximum possible error in the area calculation?
A.
9.0 m²
B.
1.5 m²
C.
0.9 m²
D.
0.45 m²
Solution
Area = length², maximum error = 2 * length * uncertainty = 2 * 15.0 * 0.3 = 9.0 m².
Q. A length is measured as 15.0 m with an uncertainty of ±0.5 m. If this length is used to calculate the area of a square, what is the maximum possible error in the area?
A.
3.0 m²
B.
1.5 m²
C.
0.5 m²
D.
2.0 m²
Solution
Area = L², maximum error = 2 * L * ΔL = 2 * 15.0 * 0.5 = 15.0 m².
Q. A length is measured as 15.0 m with an uncertainty of ±0.5 m. If this length is used to calculate the area of a rectangle, what is the maximum possible error in the area calculation?
A.
15 m²
B.
7.5 m²
C.
3.75 m²
D.
1.5 m²
Solution
Maximum error in area = 2 * length * uncertainty = 2 * 15.0 * 0.5 = 15 m².
Q. A lens forms a real image of a height 5 cm at a distance of 40 cm from the lens. If the object is placed at 20 cm from the lens, what is the height of the object?
A.
2.5 cm
B.
5 cm
C.
10 cm
D.
20 cm
Solution
Using the magnification formula, m = h'/h = -v/u. Here, h' = 5 cm, v = 40 cm, u = -20 cm. Thus, h = (h' * u) / v = (5 * -20) / 40 = 2.5 cm.
Q. A lens forms a real image that is three times the size of the object. If the object is placed 20 cm from the lens, what is the focal length of the lens?
A.
10 cm
B.
15 cm
C.
5 cm
D.
20 cm
Solution
Using magnification m = -v/u = 3, we find v = -60 cm and then use the lens formula to find f = 15 cm.
