KEAM 2025 Phramacy April 29 Question Paper (Available): Download Solutions with Answer Key

A solution is prepared by adding 4 g of a substance to 46 g of ethanol. What is the mass percentage of the solute?

• (A) 8%
• (B) 10%
• (C) 4%
• (D) 6%
• (E) 12%

The order of energy of orbitals in the same subshell is

• (A) \( E_{2s}(Na) > E_{2s}(Li) > E_{2s}(K) \)
• (B) \( E_{2s}(Li) > E_{2s}(Na) > E_{2s}(K) \)
• (C) \( E_{2s}(K) > E_{2s}(Na) > E_{2s}(Li) \)
• (D) \( E_{2s}(Na) > E_{2s}(K) > E_{2s}(Li) \)
• (E) \[ E_{2s}(Na) > E_{2s}(K) > E_{2s}(Li) \]

Which of the following is correct about the stability of half-filled and completely filled subshells?
(i) Relatively small shielding
(ii) Larger coulombic repulsion energy
(iii) Smaller exchange energy
(iv) Smaller coulombic repulsion energy
(v) Larger exchange energy
 

• (A) (i), (ii) and (iii)
• (B) (i), (iii) and (v)
• (C) (i), (iv) and (v)
• (D) (ii), (iii) and (v)
• (E) (i), (ii) and (iv)

The correct order of ionization enthalpy is

• (A) C \(<\) B \(<\) O \(<\) N
• (B) B \(<\) O \(<\) C \(<\) N
• (C) N \(<\) C \(<\) O \(<\) B
• (D) B \(<\) C \(<\) O \(<\) N
• (E) C \(<\) B \(<\) O \(<\) N

The increasing order of atomic radii is

• (A) C \(<\) N \(<\) O \(<\) F
• (B) F \(<\) O \(<\) C \(<\) N
• (C) O \(<\) F \(<\) N \(<\)C
• (D) F \(<\) N \(<\) O \(<\) C
• (E) F \(<\) O \(<\) N \(<\) C

Which of the following molecules has an expanded octet?

• (A) BCl\(_3\)
• (B) NO\(_2\)
• (C) NO
• (D) SF\(_6\)
• (E) BeH\(_2\)

Which of the following molecules has 3 bond pairs and 2 lone pairs of electrons?

• (A) NH\(_3\)
• (B) SO\(_2\)
• (C) ClF\(_3\)
• (D) SF\(_4\)
• (E) H\(_2\)O

Which of the following is an extensive property?

• (A) Molar volume
• (B) Internal energy
• (C) Temperature
• (D) Density
• (E) Pressure

Which of the following molecules has the highest standard enthalpy change of fusion (\( \Delta_{fus}H^\circ \)) (in kJ mol\(^{-1}\))?

• (A) H\(_2\)O
• (B) CO
• (C) C\(_6\)H\(_6\)
• (D) CCl\(_4\)
• (E) NaCl

At equilibrium, the concentration of \( N_2 = 5 \times 10^{-3} \, M \), \( O_2 = 2.8 \times 10^{-3} \, M \), and \( NO = 1.4 \times 10^{-3} \, M \) in a sealed vessel at 800 K. What is the value of \( K_c \) for the reaction at the same temperature?
\[ N_2(g) + O_2(g) \rightleftharpoons 2NO(g) \]

• (A) 0.41
• (B) 0.14
• (C) 0.18
• (D) 0.5
• (E) 0.28

Given the reaction: \[ Cu(s) + 2Ag^+_{(aq)} \rightleftharpoons Cu^{2+}_{(aq)} + 2Ag(s) \quad (E_{cell}^\circ = 0.295 \, V, \, 2.303 \, \frac{RT}{F} = 0.059 \, V) \]
What is the value of the equilibrium constant \( K \)?

• (A) \( 10^{20} \)
• (B) \( 10^{15} \)
• (C) \( 10^{10} \)
• (D) \( 10^{-1} \)
• (E) \( 10^{-2} \)

Which of the following compounds is used to cover the surface of a metallic object to prevent corrosion?

• (A) Phenol
• (B) Benzene
• (C) Acetone
• (D) Bisphenol
• (E) Nitrophenol

Which of the following gases has the lowest solubility in water at 298 K?

• (A) Argon
• (B) Carbon dioxide
• (C) Formaldehyde
• (D) Methane
• (E) Vinyl chloride

In a reaction, \( 3A \rightarrow Products \), the concentration of \( A \) decreases from 0.6 mol L\(^{-1}\) to 0.3 mol L\(^{-1}\) in 20 minutes. What is the rate of the reaction during this interval?

• (A) 0.05 mol L\(^{-1}\) min\(^{-1}\)
• (B) 0.005 mol L\(^{-1}\) min\(^{-1}\)
• (C) 0.03 mol L\(^{-1}\) min\(^{-1}\)
• (D) 0.6 mol L\(^{-1}\) min\(^{-1}\)
• (E) 0.003 mol L\(^{-1}\) min\(^{-1}\)

The following data were obtained for the reaction:
2NO(g) + O₂(g) → 2N₂O(g)
at different concentrations:

The rate law of this reaction is:

• (A) Rate = k[NO][O\(_2\)]²
• (B) Rate = k[NO][O\(_2\)]
• (C) Rate = k[NO]²[O\(_2\)]²
• (D) Rate = k[NO]²[O\(_2\)]
• (E) Rate = k[NO]²[O\(_2\)]³

Which of the following transition elements has both bcc and ccp structures at normal temperature?

• (A) Titanium
• (B) Vanadium
• (C) Silver
• (D) Chromium
• (E) Manganese

The most common oxidation states of chromium are

• (A) +2 and +7
• (B) +2 and +3
• (C) +1 and +6
• (D) +3 and +6
• (E) +2 and +4

What is the magnetic moment of a divalent ion with three unpaired electrons?

• (A) 2.84 BM
• (B) 5.92 BM
• (C) 3.87 BM
• (D) 4.90 BM
• (E) 1.73 BM

The bond angle of Cr-O-Cr bond in dichromate ion is

• (A) 90°
• (B) 126°
• (C) 109°
• (D) 60°
• (E) 120°

Which of the following transition metal oxide is used in dry battery cells?

• (A) ZnO
• (B) TiO
• (C) \( V_2O_5 \)
• (D) NiO
• (E) \( MnO_2 \)

The first and second ionization enthalpies of lanthanoids are comparable with the element

• (A) Chromium
• (B) Calcium
• (C) Germanium
• (D) Cesium
• (E) Cadmium

The percentage of Cr(III) in Ruby is

• (A) 0.5 to 1 %
• (B) 1 to 2 %
• (C) 0.1 to 0.4 %
• (D) 2 to 3 %
• (E) 0.1 to 0.3 %

Which of the following is an outer orbital complex?

• (A) \([Co(NH_3)_6]^{3+}\)
• (B) \([Mn(CN)_6]^{3-}\)
• (C) \([Co(C_2O_4)_3]^{3-}\)
• (D) \([MnCl_6]^{3-}\)
• (E) \([Fe(CN)_6]^{3-}\)

What is the colour of the complex \([Ni(en)_3]^{2+}\) in water?

• (A) Pale blue
• (B) Purple
• (C) Violet
• (D) Green
• (E) Orange

Hardness of water is estimated by titration with

• (A) DMG
• (B) Cupron
• (C) \(\alpha\)-nitroso-\(\beta\)-naphthol
• (D) Na\(_2\)] EDTA
• (E) Ethylenediamine

The formula of Ammonium phosphomolybdate is

• (A) \((NH_4)_3PO_4.12MoO_3\)
• (B) \((NH_4)_2.12MoO_4\)
• (C) \((NH_4)_2PO_4.12MoO_3\)
• (D) \((NH_4)_3PO_3.12MoO_3\)
• (E) \((NH_4)_3PO_4.2MoO_3\)

On complete combustion of 0.96 g of an organic compound, 0.88 g of carbon dioxide and 0.1 g of water are produced. What is the percentage composition of carbon in the compound?

• (A) 22%
• (B) 18%
• (C) 16%
• (D) 20%
• (E) 25%

Which of the following sodium salts of carboxylic acid is used for the preparation of n-hexane by Kolbe's electrolytic method?

• (A) CHCH\(_2\)] COONa
• (B) CH\(_3\)] COONa
• (C) HCOONa
• (D) CH\(_3\)] CH\(_2\)] CH\(_2\)] COONa
• (E) CH\(_3\)] CH\(_2\)] CH\(_2\)] COONa

Which of the following oxidizing agent is used for the iodination of methane?

• (A) HI
• (B) KMnO\(_4\)
• (C) K\(_2\)Cr\(_2\)O\(_7\)
• (D) HIO\(_3\)
• (E) K\(_2\)CrO\(_4\)

The product obtained on ozonolysis of 3-Ethylpent-2-ene are

• (A) Methanal and 3-Hexanone
• (B) Pentalan and Propanone
• (C) Ethanal and Pentan-3-one
• (D) Ethanal and 3-Hexanone
• (E) Ethanal and Butanone

The temperature and pressure required for reforming benzene from n-hexane is

• (A) 473 K, 10-20 atm
• (B) 773 K, 10-20 atm
• (C) 523 K, 100 atm
• (D) 973 K, 1-2 atm
• (E) 573 K, 10-20 atm

Methyl fluoride is prepared by heating methyl bromide in the presence of AgF. This reaction is known as

• (A) Swarts reaction
• (B) Finkelstein reaction
• (C) Sandmeyer’s reaction
• (D) Wurtz reaction
• (E) Kolbe’s reaction

Benzene diazonium chloride on treatment with reagent ‘X’ gives iodobenzene. The reagent ‘X’ is

• (A) Cu\(_2\)I\(_2\)
• (B) AgI
• (C) I\(_2\)
• (D) HI
• (E) KI

Which of the following is not a chiral molecule?

• (A) 2-Chlorobutane
• (B) 2,3-Dihydroxy propanal
• (C) 2-Bromo propionic acid
• (D) Butan-2-ol
• (E) 2-Bromo-2-methoxypropane

The product obtained on the reaction of propanone with \( CH_3MgBr \) followed by hydrolysis is

• (A) 2-Methylpropan-2-ol
• (B) Butan-1-ol
• (C) Butan-2-ol
• (D) 2-Methylpropan-1-ol
• (E) 2-Methylpropane

The reagent used for the conversion of carboxylic acids to primary alcohols is

• (A) PCC
• (B) LiAlH\(_4\) / H\(_2\)O
• (C) NaNO\(_2\) / HCl
• (D) Pd / H\(_2\)
• (E) Pt / H\(_2\)

The order of acidity of the following compounds is
(i) o-Nitrophenol (ii) Phenol (iii) o-Cresol (iv) Ethanol

• (A) (i) \(<\) (iii) \(<\) (ii) \(<\) (iv)
• (B) (iii) \(<\) (i) \(<\) (ii) \(<\) (iv)
• (C) (i) \(<\) (ii) \(<\) (iii) \(<\) (iv)
• (D) (iv) \(<\) (iii) \(<\) (ii) \(<\) (i)
• (E) (iii) \(<\) (ii) \(<\) (i) \(<\) (iv)

When benzene is treated with carbon monoxide and hydrogen chloride in the presence of anhydrous aluminium chloride, benzaldehyde is formed. The reaction is known as

• (A) Etard reaction
• (B) Stephen reaction
• (C) Hell-Volhard-Zelinsky reaction
• (D) Gatterman-Koch reaction
• (E) Aldol reaction

When C₆H₅CHO reacts with the mixture of HNO\(_3\) and H\(_2\)SO\(_4\) at 273-283K, it gives

• (A) o-Nitrobenzaldehyde
• (B) m-Nitrobenzaldehyde
• (C) p-Nitrobenzaldehyde
• (D) Toluene
• (E) Nitrobenzene

Match the following:

• (A) a-(i), b-(ii), c-(iii), d-(iv)
• (B) a-(i), b-(i), c-(iv), d-(ii)
• (C) a-(iii), b-(iii), c-(ii), d-(iv)
• (D) a-(ii), b-(iv), c-(i), d-(iii)
• (E) a-(iii), b-(iv), c-(i), d-(ii)

The number of moles of alkyl halides required to convert primary amine into quaternary ammonium salt is

• (A) 1
• (B) 2
• (C) 3
• (D) 4
• (E) 5

The order of boiling point of the following amines is
(i) Butan-1-amine

(ii) N-Ethylethanamine

(iii) N,N-Dimethylethanamine

• (A) (i) > (iii) > (ii)
• (B) (i) > (ii) > (iii)
• (C) (iii) > (ii) > (i)
• (D) (iii) > (i) > (ii)
• (E) (ii) > (i) > (iii)

An aromatic compound (X) of molecular formula, C7H7Cl, on ammonolysis gives Y (Molecular formula, C7H9N). The compound Y reacts with two moles of CH3Cl gives N, N-Dimethylphenylmethanamine. The compounds 'X' and 'Y' are

• (A) Benzylchloride and Aniline
• (B) Chlorobenzene and Aniline
• (C) Benzylchloride and Benzylamine
• (D) Chlorobenzene and Benzylamine
• (E) Benzylchloride and Benzylamine

Oxidation of gluconic acid with nitric acid gives

• (A) n-hexane
• (B) fructose
• (C) glucose
• (D) glyceraldehyde
• (E) saccharic acid

The carbohydrates are stored in animal body as

• (A) cellulose
• (B) starch
• (C) glycogen
• (D) amylopectin
• (E) amylase

The dimensions of \( \frac{B}{E} \) are (B: Magnetic induction, E: Electric field intensity)

• (A) \( M^0 L^{-2} T^1 \)
• (B) \( M^0 L^{-1} T^2 \)
• (C) \( M^0 L^1 T^1 \)
• (D) \( M^0 L^{-1} T^{-1} \)
• (E) \( M^0 L^1 T^{-1} \)

A hockey player hits a ball with an impulse of 15 Ns. If time of hit is 0.2 s, the average force exerted by the player on the ball is

• (A) 75 N
• (B) 50 N
• (C) 15 N
• (D) 20 N
• (E) 25 N

If the position of the particle as a function of time \( t \) is \( \vec{r} = 8t \hat{i} + 3t^2 \hat{j} + 3 \hat{k} \, m \), then the acceleration of the particle is (in \( m/s^2 \))

• (A) 6
• (B) 3
• (C) 8
• (D) 4
• (E) 5

The force acting on the particle of 0.2 kg mass whose displacement is described by the equation \( x = 3t + 7t^2 \, m \)

• (A) 1.0 N
• (B) 3.2 N
• (C) 6.4 N
• (D) 8.6 N
• (E) 2.8 N

A bullet of 10 g mass is fired at a speed of 50 m/s by a gun of 2 kg mass. The recoil speed of the gun (in m/s) is

• (A) 0.3
• (B) 0.25
• (C) 0.5
• (D) 0.75
• (E) 1.25

The work done to lift a 60 kg mass to a height of 5 m from the ground is (g = 10 m/s\(^2\))

• (A) 3000 J
• (B) 750 J
• (C) 1250 J
• (D) 6000 J
• (E) 4500 J

Energy equivalent of mass 0.5 kg is

• (A) \( 9 \times 10^{16} \, J \)
• (B) \( 3 \times 10^{16} \, J \)
• (C) \( 2.5 \times 10^{16} \, J \)
• (D) \( 6 \times 10^{16} \, J \)
• (E) \( 4.5 \times 10^{16} \, J \)

Three particles of equal mass lie at distances of 1 cm, 2 cm, and 3 cm from the origin. The distance of their center of mass from the origin is

• (A) 2 cm
• (B) 1 cm
• (C) 2.5 cm
• (D) 3 cm
• (E) 6 cm

Angular momentum of a particle will not be zero, if the

• (A) angle between position vector and linear momentum is 0°
• (B) particle is at the origin
• (C) angle between position vector and linear momentum is 90°
• (D) linear momentum vanishes
• (E) angle between position vector and linear momentum is 180°

An astronaut experiences weightlessness in space satellite because

• (A) the gravitational force is small at that location
• (B) both the astronaut and the satellite are in free fall towards Earth
• (C) of the small gravity in the horizontal direction
• (D) of the small gravity in the vertical direction
• (E) of the gravitational pull of the moon

For smaller deformations, stress is directly proportional to the strain for any material. Then the constant of proportionality is called as its

• (A) modulus of elasticity
• (B) Poisson's ratio
• (C) compressibility
• (D) coefficient of deformation
• (E) mechanical strength

Which one of the following principles helps to explain the flow of blood in an artery?

• (A) Magnus effect
• (B) Boyle's law
• (C) Pascal's law
• (D) Bernoulli's principle
• (E) Archimedes' principle

An ideal Carnot engine has an efficiency of 40%. The ratio of the temperature of the sink to that of the source is

• (A) 0.4
• (B) 0.6
• (C) 0.5
• (D) 0.2
• (E) 0.3

If Q1 and Q2 are respectively the heat supplied and expelled by a system at a constant temperature, then the work done by the system is

• (A) \( Q_1 - Q_2 \)
• (B) \( Q_1 + Q_2 \)
• (C) \( \frac{Q_1 - Q_2}{2} \)
• (D) \( \frac{Q_2 - Q_1}{2} \)
• (E) \( \frac{Q_1 + Q_2}{2} \)

For the oscillations of a spring with spring constant k, the false statement is

• (A) Stiff springs have high value of \( k \)
• (B) Soft springs have small value of \( k \)
• (C) The spring constant is independent of the elastic properties of the spring
• (D) For smaller oscillations, the spring executes simple harmonic motion
• (E) The period of oscillations of the spring depends upon the value of \( k \)

If the amplitude of the wave \( y = 3\sin(3x - 5t) + A\cos(3x - 5t) \) m is 5 m, the value of A is

• (A) 3 m
• (B) 2 m
• (C) 1 m
• (D) 5 m
• (E) 4 m

In dielectrics, polarization is the dipole moment per unit

• (A) area
• (B) electric field
• (C) volume
• (D) length
• (E) charge

The energy density of the electric field \( 2 \, V/m \) in a capacitor \( C \) is \( \varepsilon_0 \) is the permittivity of free space

• (A) \( 3 \varepsilon_0 \)
• (B) \( \frac{\varepsilon_0}{2} \)
• (C) \( 4 \varepsilon_0 \)
• (D) \( \frac{\varepsilon_0}{4} \)
• (E) \( 2 \varepsilon_0 \)

A carbon resistor has a tolerance of 20%. As per the colour codes of resistors, the last band in that resistor is

• (A) silver
• (B) absent
• (C) red
• (D) gold
• (E) blue

When a current of 2 A flows through a wire for 2.5 s, the amount of heat liberated is 20 J. The resistance of the wire is

• (A) 4 \( \Omega \)
• (B) 3 \( \Omega \)
• (C) 1 \( \Omega \)
• (D) 2 \( \Omega \)
• (E) 5 \( \Omega \)

The magnetic moment of an electron revolving in an orbit of 0.5 m radius with a velocity of \( 8 \times 10^7 \, m/s \) is (in \( Am^2 \))

• (A) \( 3.2 \times 10^{-12} \, Am^2 \)
• (B) \( 0.4 \times 10^{-12} \, Am^2 \)
• (C) \( 6.4 \times 10^{-12} \, Am^2 \)
• (D) \( 1.6 \times 10^{-1} \, Am^2 \)
• (E) \( 0.8 \times 10^{-12} \, Am^2 \)

If an electron moves with a velocity \( v \) in a magnetic field \( B \), the magnetic force on the electron is maximum when the angle between \( v \) and \( B \) is

• (A) 30°
• (B) 180°
• (C) 60°
• (D) 90°
• (E) 0°

The flux linked with a coil at any instant is given by \( \Phi = 5t^2 - 25t - 150 \) (in SI units). The emf induced in the coil at \( t = 2 \) s is

• (A) +5 V
• (B) +3 V
• (C) -1 V
• (D) -5 V
• (E) -3 V

If the frequency of an electromagnetic wave is 2 MHz, then the time period of oscillation of the accelerated charge is

• (A) \( 2.5 \times 10^{-7} \) s
• (B) \( 1 \times 10^{-7} \) s
• (C) \( 5 \times 10^{-7} \) s
• (D) \( 6 \times 10^{-7} \) s
• (E) \( 2 \times 10^{-7} \) s

The eye defect astigmatism can be corrected by using a

• (A) convex lens
• (B) spherical lens
• (C) plano-convex lens
• (D) concave lens
• (E) cylindrical lens

The intensity of a polarized light can be controlled by a second polarizer from

• (A) \( 100% \) to \( 0% \)
• (B) \( 50% \) to \( 0% \)
• (C) \( 25% \) to \( 0% \)
• (D) \( 10% \) to \( 0% \)
• (E) \( 75% \) to \( 0% \)

If a particle is moving with a momentum of \( (2 \times 10^{10}) h \, kgms^{-1} \), then the de Broglie wavelength associated with it (in angstrom) is (where \( h \) is Planck's constant)

• (A) \( 1.5 \)
• (B) \( 2.5 \)
• (C) \( 1.0 \)
• (D) \( 0.5 \)
• (E) \( 0.75 \)

The angular momentum of the electron revolving in \( 2^{nd} \) orbit is

• (A) \( \frac{h}{\pi} \)
• (B) \( \frac{h}{2\pi} \)
• (C) \( \frac{2h}{\pi} \)
• (D) \( \frac{3h}{2\pi} \)
• (E) \( \frac{h}{3\pi} \)

In the nuclear process, \( {}_{11}^{22}Na \rightarrow {}_{10}^{22}Ne + e^+ + X \), then \( X \) is

• (A) neutrino
• (B) anti-neutrino
• (C) electron
• (D) positron
• (E) neutron

In a semiconductor crystal, the total number of electrons in the outer shell is \( 4N \). At absolute zero, the number of energy states of valence and conduction band are respectively

• (A) \( 0 \) and \( 4N \)
• (B) \( 4N \) and \( 4N \)
• (C) \( 4N \) and \( 0 \)
• (D) \( 8N \) and \( 0 \)
• (E) 0 and 8N