JEE Main Paper 2 Question Paper 2015 with Solution (B.Arch)

Solving JEE Main Paper 2 previous years' questions is important for candidates preparing for B.Arch and B.Planning. These papers help students understand the exam pattern, types of questions, and level of difficulty. Practising the JEE Main Paper 2 question paper 2015 along with papers from other years can also help students identify important topics.

Practising previous year papers regularly helps you solve problems faster, make fewer mistakes, and manage your time better. It also makes you familiar with the type of questions asked in the exam and boosts your confidence before the test. Therefore, solving PYQs should be an important part of JEE Main Paper 2 preparation.

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JEE Main Paper 2 Questions With Solutions

A few questions from the question paper are mentioned here for reference. The full question paper with all 80 questions and detailed solutions is available in the uploaded PDF.

1. Let f : R → R be a function defined by f(x) = (e^|x| − e^−x)/(e^x + e^−x), then f is :

(A) one - one and onto.
(B) one - one but not onto.
(C) onto but not one - one.
(D) neither onto nor one - one.
 

Answer: (D)

2. The system of linear equations

x − y + z = 1
x + y − z = 3
x − 4y + 4z = α has :

(A) a unique solution when α = 2.
(B) a unique solution when α ≠ −2.
(C) an infinite number of solutions, when α = 2.
(D) an infinite number of solutions, when α = −2.
 

Answer: (D)

3. In a car with seating capacity of exactly five persons, two persons can occupy the front seat and three persons can occupy the back seat. If amongst the seven persons, who wish to travel by this car, only two of them know driving, then the number of ways in which the car can be fully occupied and driven by them, is :

(A) 360
(B) 60
(C) 240
(D) 720

Answer: (D)

4. The maximum value of f(x) = 2 sin x + sin 2x, in the interval [0, 3π/2], is :

(A) √2 + 1
(B) 2√3
(C) 3√3/2
(D) √3
 

Answer: (C)

5. The general solution of the differential equation y dy + √(1 + y²) dx = 0 represents a family of:

(A) circles.
(B) ellipses other than circles.
(C) hyperbolas.
(D) parabolas.

Answer: (C)

6. The line 2x + y = 3 intersects the ellipse 4x² + y² = 5 at two points. The tangents to the ellipse at these two points intersect at the point:

(A) (5/6, 5/3)
(B) (5/6, 5/6)
(C) (5/3, 5/6)
(D) (5/3, 5/3)
 

Answer: (A)

7. The statement [p ∧ (p → q)] → q, is :

(A) a fallacy
(B) a tautology
(C) neither a fallacy nor a tautology
(D) not a compound statement
 

Answer: (B)

8. Which one is the oldest structure from amongst the following?

(A) Panama canal
(B) Ajanta caves
(C) Pyramids of Egypt
(D) Parthenon of Greece
 

Answer: (C)

9. Eiffel Tower is made of :

(A) Bricks
(B) Concrete
(C) Steel
(D) Stone

 Answer: (C)

10. Directions: Find out the total number of surfaces of the object given in the problem figure.

(A) 22
(B) 23
(C) 21
(D) 24
 

Answer: (A)

Note: These are only a few questions from the JEE Main Paper 2 2015 question paper, included here for quick reference. For the complete question paper with all 80 questions, answer key, and detailed solutions, please refer to the PDF.

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JEE Main Paper 2 Question Paper 2015 PDF Download

Aspirants preparing for the B.Arch/B. Planning entrance exam can download the JEE Main Paper 2 2015 question paper PDF for free. This paper has 80 questions covering Mathematics, General Aptitude, and Drawing & Visualisation, along with the full answer key and detailed step-by-step solutions for each question. Practising it will help you understand the exam pattern, the level of difficulty, and how to manage your time for the actual test.

Why Solve JEE Main Paper 2 Previous Year Question Papers

Regularly solving JEE Main Paper 2 previous year papers can benefit aspirants in the following ways:

• It builds familiarity with the actual exam pattern used for the B.Arch/B. Planning entrance test.

• It helps candidates understand how questions are framed across Mathematics, Aptitude, and Drawing & Visualisation sections.

• It helps you manage time better by letting you practice under exam-like conditions.

• It helps you track your preparation progress by comparing your performance across different years' papers.

• It improves spatial reasoning and drawing accuracy through repeated exposure to elevation, top-view, and mirror-image problems.

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How to Use JEE Main Paper 2 Previous Year Question Papers for Preparation

Solving JEE Main Paper 2 previous year papers with a proper plan can boost your exam preparation. Rather than just checking answers, you should analyse your performance, spot your weak areas, and regularly revise key topics. Here are some steps to help you make the most of these papers.

Solving the JEE Main Paper 2 question paper 2015 can help B.Arch and B.Planning aspirants understand the question format, difficulty level, and topics covered in the exam. By practising the paper with solutions, analysing mistakes, and revising weak areas, students can improve their speed, accuracy, and time management. Regular practice of previous-year papers, along with consistent preparation for Mathematics, Aptitude, and Drawing, can help candidates approach the JEE Main Paper 2 examination with greater confidence.

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