AP EAPCET 2026 Engineering Question Paper for May 14 Shift 1 is available for download here. JNTUK on behalf of APSCHE conducted AP EAPCET 2026 Engineering exam on May 14 in Shift 1 from 9 AM to 12 PM. AP EAPCET 2026 Engineering consists of 160 questions for a total of 160 marks to be attempted in 3 hours.

  • AP EAPCET 2026 Engineering is divided into 3 sections- Mathematics with 80 questions and Physics and Chemistry with 40 questions each.
  • Each correct answer carries 1 mark and there is no negative marking for incorrect answer.

AP EAPCET 2026 Engineering Question Paper PDF for May 14 Shift 1

AP EAPCET 2026 Engineering Question Paper May 14 Shift 1 Download PDF Check Solutions


Question 1:

If the system of equations \( 2x + py + 6z = 8 \), \( x + 2y + qz = 5 \) and \( x + y + 3z = 4 \) has infinitely many solutions, then \( p = \)

  • (A) \( -1 \)
  • (B) \( 2 \)
  • (C) \( 3 \)
  • (D) \( -3 \)

Question 2:

If the system of simultaneous linear equations \( x + \lambda y - 2z = 1 \), \( x - y + \lambda z = 2 \) and \( x - 2y + 3z = 3 \) is inconsistent for \( \lambda = \lambda_1 \) and \( \lambda_2 \), then \( \lambda_1 + \lambda_2 = \)

  • (A) \( 5 \)
  • (B) \( \sqrt{5} \)
  • (C) \( 1 \)
  • (D) \( -1 \)

Question 3:

If \( [ ] \) denotes the greatest integer function, then \( \int_{1}^{2} [x^2] dx = \)

  • (A) \( 5 + \sqrt{2} + \sqrt{3} \)
  • (B) \( 5 + \sqrt{2} - \sqrt{3} \)
  • (C) \( 5 - \sqrt{2} - \sqrt{3} \)
  • (D) \( 5 - \sqrt{2} + \sqrt{3} \)

Question 4:

The value of the integral \( \int_{0}^{4} ||x - 2| - x| dx = \)

  • (A) \( 2 \)
  • (B) \( 3 \)
  • (C) \( 6 \)
  • (D) \( 12 \)

Question 5:

The value of the integral \(\int_{0}^{2} x^2 (2 - x)^5 \, dx\) is:

  • (A) \(\frac{128}{21}\)
  • (B) \(\frac{64}{7}\)
  • (C) \(\frac{32}{21}\)
  • (D) \(\frac{16}{7}\)

Question 6:

Pressure of \(2 \times 10^6\) Pa causes volume decrease of \(0.1%\) in a material. Bulk modulus is:

  • (A) \(2 \times 10^9\) Pa
  • (B) \(2 \times 10^{10}\) Pa
  • (C) \(1 \times 10^{10}\) Pa
  • (D) \(5 \times 10^9\) Pa

Question 7:

A wire extends by \(1\) mm under \(100\) N. Extension under \(300\) N is:

  • (A) \(1\) mm
  • (B) \(2\) mm
  • (C) \(3\) mm
  • (D) \(4\) mm

Question 8:

Water flows in a horizontal pipe. At a point where speed is \(2\) m/s, pressure is \(2000\) Pa. At another point, speed becomes \(4\) m/s. Find pressure at second point. (Density \(= 1000\) kg/m\(^3\))

  • (A) \(8000\) Pa
  • (B) \(14000\) Pa
  • (C) \(2000\) Pa
  • (D) \(-4000\) Pa

Question 9:

A pipe has cross-sectional areas \(4\) cm\(^2\) and \(1\) cm\(^2\). If velocity in the wider section is \(2\) m/s, velocity in the narrower section is:

  • (A) \(2\) m/s
  • (B) \(4\) m/s
  • (C) \(8\) m/s
  • (D) \(16\) m/s

Question 10:

A soap bubble of radius \(1\) cm has surface tension \(0.03\) N/m. Excess pressure inside is:

  • (A) \(3\) Pa
  • (B) \(6\) Pa
  • (C) \(12\) Pa
  • (D) \(24\) Pa

Question 11:

An organic compound has the empirical formula CH\(_2\)O. Its vapour density is 45. The molecular formula of compound is

  • (A) CH\(_2\)O
  • (B) C\(_2\)H\(_5\)O
  • (C) C\(_2\)H\(_4\)O\(_2\)
  • (D) C\(_3\)H\(_6\)O\(_3\)

Question 12:

At 273 K the maximum work done when pressure on 10g of hydrogen is reduced from 10atm to 1 atm under isothermal, reversible conditions is

  • (A) -52.18kj
  • (B) +26.09kj
  • (C) -26.09kj
  • (D) +52.18kj

Question 13:

For the reaction N\(_2\) + 3H\(_2\) \(\rightarrow\) 2NH\(_3\), \(\Delta\)H = ?

  • (A) \(\Delta\)E + 2RT
  • (B) \(\Delta\)E - 2RT
  • (C) \(\Delta\)H = RT
  • (D) \(\Delta\)E - RT

Question 14:

For which of the following process entropy change (\(\Delta\)S) is negative ?

[I)] Sublimation of dry ice
[II)] Freezing of water
[III)] Crystallisation of the dissolved substance
[IV)] Burning of rocket fuel

  • (A) I, II only
  • (B) II, III only
  • (C) III, IV only
  • (D) I, IV only

Question 15:

The signs of \(\Delta\)H and \(\Delta\)s for a reaction to be spontaneous at all temperatures respectively are

  • (A) Positive , positive
  • (B) Positive , negative
  • (C) Negative , negative
  • (D) Negative , positive

AP EAPCET 2026 Paper Pattern – Engineering

Section Number of Questions Marks per Question Weightage Total Marks
Mathematics 80 1 80 80
Physics 40 1 40 40
Chemistry 40 1 40 40
Total 160 1 160 160

AP EAPCET 2026 Paper Analysis