KEAM 2026 Engineering Question Paper for April 22 is available for download here. CEE Kerala conducted KEAM 2026 Engineering exam on April 22 in session 2 from 2 PM to 5 PM. KEAM 2026 Engineering exam is an online CBT with a total of 150 questions carrying a maximum of 600 marks.

  • The KEAM Engineering exam is divided into 3 subjects- Physics (45 questions), Chemistry (30 questions) and Mathematics (75 questions).
  • 4 marks are given for every correct answer and 1 mark is deducted for every incorrect answer

Candidates can download KEAM 2026 April 22 Engineering Question Paper with Solution PDF from the links provided below.

KEAM 2026 Engineering April 22 Question Paper with Solution PDF

KEAM 2026 Engineering Question Paper April 22 Download PDF Check Solution

Question 1:

\(\int (\tan^{2}(2x) - \cot^{2}(2x))dx =\)

  • (a) \(\frac{-1}{2} (\tan 2x + \cot 2x) + C\)
  • (b) \(2 (\tan 2x + \cot 2x) + C\)
  • (c) \(\frac{1}{2} (\tan 2x - \cot 2x) + C\)
  • (d) \(\frac{-1}{2} (\tan 2x - \cot 2x) + C\)
  • (e) \(\frac{1}{2} (\tan 2x + \cot 2x) + C\)

Question 2:

If \(x + 13y = 40\) is normal to the curve \(y = 5x^{2} + \alpha x + \beta\) at the point (1,3), then the value of \(\alpha\beta\) is equal to:

  • (a) 15
  • (b) -6
  • (c) 6
  • (d) 13
  • (e) -15

Question 3:

Let \(f(x) = \begin{cases} 3x + 6, & if x \ge c
x^{2} - 3x - 1, & if x < c \end{cases}\), where \(x \in \mathbb{R}\) and \(c\) is a constant. The values of \(c\) for which \(f\) is continuous on \(\mathbb{R}\) are:

  • (a) -7, 1
  • (b) 1, 3
  • (c) -1, 7
  • (d) -1, 6
  • (e) 2, -3

Question 4:

In a box there are four marbles and each of them is marked with distinct number from the set \(\{1, 2, 5, 10\}\). If one marble is randomly selected four times with replacement and the number on it noted, then the probability that the sum of numbers equals 18 is:

  • (a) \(\frac{1}{64}\)
  • (b) \(\frac{3}{16}\)
  • (c) \(\frac{5}{32}\)
  • (d) \(\frac{3}{32}\)
  • (e) \(\frac{1}{32}\)

Question 5:

Three fair dice are rolled simultaneously. Let a, b, c be the numbers on the top of the dice. Then the probability that \(\min(a, b, c) = 6\) is:

  • (a) \(\frac{1}{216}\)
  • (b) \(\frac{1}{36}\)
  • (c) \(\frac{1}{6}\)
  • (d) \(\frac{11}{216}\)
  • (e) \(\frac{5}{6}\)

Question 6:

Oxidation number of potassium in \(K_{2}O\), \(K_{2}O_{2}\) and \(KO_{2}\), respectively, is:

  • (a) \(+2\), \(+1\) and \(+\frac{1}{2}\)
  • (b) \(+1\), \(+1\) and \(+1\)
  • (c) \(+1\), \(+4\) and \(+2\)
  • (d) \(+1\), \(+2\) and \(+4\)

Question 7:

Which one of the following is not an allylic halide?

  • (a) 4-bromopent-2-ene
  • (b) 3-bromo-2-methylbut-1-ene
  • (c) 1-bromobut-2-ene
  • (d) 4-bromobut-1-ene
  • (e) 3-bromo-2-methylpropene

Question 8:

A neutral molecule \(XF_{3}\) has a zero dipole moment. The element X is most likely:

  • (a) chlorine
  • (b) boron
  • (c) nitrogen
  • (d) carbon
  • (e) bromine

Question 9:

Among the following species, identify the pair having same bond order \( CN^{-} \), \( O_{2}^{-} \), \( NO^{+} \), \( CN^{+} \):

  • (a) \( CN^{-} \) and \( O_{2}^{-} \)
  • (b) \( O_{2}^{-} \) and \( NO^{+} \)
  • (c) \( CN^{-} \) and \( NO^{+} \)
  • (d) \( CN^{-} \) and \( CN^{+} \)
  • (e) \( NO^{+} \) and \( CN^{+} \)

Question 10:

Which one of the following conditions will favour maximum formation of the product in the reaction, \( A_{2}(g) + B_{2}(g) \rightleftharpoons X_{2}(g) \) \( \Delta_{r}H = -x \) kJ:

  • (a) Low temperature and high pressure
  • (b) Low temperature and low pressure
  • (c) High temperature and low pressure
  • (d) High temperature and high pressure

Question 11:

A light ray enters from medium 1 to medium 2. Its velocity in medium 1 is \( 2 \times 10^{8} \) m/s and in medium 2 is \( 1.5 \times 10^{8} \) m/s. The critical angle for the pair of media is:

  • (a) \(\sin^{-1}(0.75)\)
  • (b) \(\sin^{-1}(0.5)\)
  • (c) \(\sin^{-1}(0.66)\)
  • (d) \(\sin^{-1}(0.8)\)

Question 12:

A container with a pin hole at the bottom is filled with water and kerosene (specific gravity 0.8). The height of the water layer is 10 cm and the kerosene layer is 20 cm. The velocity of efflux of water is:

  • (a) 2.3 m/s
  • (b) 4.5 m/s
  • (c) 1.5 m/s
  • (d) 3.2 m/s

Question 13:

In a Young's double slit experiment, the intensity at a point where the path difference is \( \frac{\lambda}{6} \) (\( \lambda \) being the wavelength of light used) is \( I \). If \( I_{0} \) denotes the maximum intensity, \( I/I_{0} \) is equal to:

  • (a) 1/2
  • (b) \(\sqrt{3}/2\)
  • (c) 3/4
  • (d) 1/4

Question 14:

A particle of mass \(m\) is moving in a circular path of constant radius \(r\) such that its centripetal acceleration \(a_{c}\) is varying with time \(t\) as \(a_{c} = k^{2}rt^{2}\), where \(k\) is a constant. The power delivered to the particle by the forces acting on it is:

  • (a) \(2\pi mk^{2}r^{2}t\)
  • (b) \(mk^{2}r^{2}t\)
  • (c) \(\frac{1}{3} mk^{4}r^{2}t^{5}\)
  • (d) 0

Question 15:

A source of frequency \(f\) gives 5 beats/sec when sounded with a source of frequency 200 Hz. The second harmonic of \(f\) gives 10 beats/sec when sounded with a source of frequency 420 Hz. The value of \(f\) is:

  • (a) 195 Hz
  • (b) 205 Hz
  • (c) 190 Hz
  • (d) 210 Hz

KEAM 2026 Exam Pattern

Particulars Details
Paper Engineering
Mode of Exam Online CBT
Subjects Physics- 45 questions
Chemistry- 30 questions
Mathematics- 75 questions
Type of Question Objective Type
Total Number of questions 150
Marks are awarded for each correct answer 4 marks
Marks are awarded for each incorrect answer 1 marks
KEAM total marks for Engineering 600 marks
Duration of KEAM Engineering exam 3 hours

KEAM 2026 Final Revision