JEE Main 2026 April 7 Shift 2 B.Arch Question Paper with Answer Key and Solution PDF is available here based on memory-based questions and initial feedback from students.

NTA conducted JEE Main 2026 April 7 Shift 2 B.Arch Paper from 3 PM to 6 PM in 3 sections: Mathematics, Aptitude Test in CBT mode, and Drawing Test in Pen and Paper-based mode, prepared according to the latest JEE Main exam pattern.

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The JEE Main 2026 today's question paper is updated here.

JEE Main 2026 April 7 Shift 2 B.Arch Question Paper with Solution PDF

JEE Mains 2026 April 7 Shift 2 B Arch Question Paper with Solutions PDF


Question 1:

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

Question 2:

If \( |z_1| = |z_2| = |z_3| = 1 \) and \( z_1 + z_2 + z_3 = \sqrt{2} + i \), then the number \( z_1 \bar{z}_2 + z_2 \bar{z}_3 + z_3 \bar{z}_1 \) is:

  • (A) a positive real number
  • (B) a negative real number
  • (C) always zero
  • (D) a purely imaginary number

Question 3:

The value of \( k \) for which each root of the equation \( x^2 - 6kx + 2k - 9k^2 = 0 \) is greater than 3, always satisfy the inequality:

  • (A) \( 7 - 9y > 0 \)
  • (B) \( 11 - 9y < 0 \)
  • (C) \( 29 - 11y > 0 \)
  • (D) \( 29 - 11y < 0 \)

Question 4:

If in the binomial expansion of \( (1 - x)^m(1 + x)^n \), the coefficients of \( x \) and \( x^2 \) are respectively 3 and -4, then the ratio \( m : n \) is equal to:

  • (A) 10 : 7
  • (B) 8 : 11
  • (C) 10 : 13
  • (D) 7 : 10

Question 5:

If \( \sum_{k=1}^{n} \varphi(k) = \frac{2\pi}{n+1} \), then \( \sum_{k=1}^{10} \frac{1}{\varphi(k)} \) is equal to:

  • (A) \( \frac{11}{20} \)
  • (B) 220
  • (C) \( \frac{55}{18} \)
  • (D) 10

Question 6:

Let \( f : \mathbb{R} \to \mathbb{R} \) be a function defined by \( f(x) = \frac{e^{|x|} - e^{-x}}{e^x + e^{-x}} \), 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.

Question 7:

If you draw an object measuring 1 cm on the paper, what would it be equivalent to at a scale of 1:100?

  • (A) 10 cm
  • (B) 1 meter
  • (C) 10 meters
  • (D) 1 cm

Question 8:

Identify the total number of surfaces in the given 3D object.

  • (A) 9
  • (B) 10
  • (C) 8
  • (D) 12

Question 9:

The question figure shows the 3D view of the object. Choose the correct 2D view (Elevation) of the object looking in the direction of the arrow shown.


Question 10:

Identify the Mirror image of the given figure along X – X' axis.


Question 11:

Find out the odd one.

  • (A) D
  • (B) C
  • (C) B
  • (D) A

Question 12:

The Indian architect known for designing the Hall of Nations (demolished in 2017) in New Delhi was:

  • (A) Balkrishna Doshi
  • (B) Raj Rewal
  • (C) Charles Correa
  • (D) Laurie Baker

Question 13:

Which material is most suitable for long-span tensile structures?

  • (A) Reinforced concrete
  • (B) Structural steel
  • (C) PVC-coated polyester fabric
  • (D) Burnt clay brick

Question 14:

The Jawahar Kala Kendra in Jaipur was designed by:

  • (A) Charles Correa
  • (B) B.V. Doshi
  • (C) Joseph Allen Stein
  • (D) Achyut Kanvinde

JEE Main 2026 B.Arch Exam Pattern

Particulars Details
Exam Mode Online (Computer-Based Test)
Paper B.Arch
Medium of Exam 13 languages: English, Hindi, Gujarati, Bengali, Tamil, Telugu, Kannada, Marathi, Malayalam, Odia, Punjabi, Assamese, Urdu
Duration 3 hours (180 minutes)
Type of Questions Multiple Choice Questions (MCQs) + Numerical Value Questions + Drawing Questions
Total Marks 400 marks
Subjects Mathematics, Aptitude Test, Drawing Test
Marking Scheme +4 for correct answer & -1 for incorrect MCQ and Numerical Value-based Questions
Total Questions 77 Questions

JEE Main 2026 B.Arch Preparation