ECAT Solved Model Past Paper 2019 PDF

PHYSICS

Q. N force is required to fracture the naked skull.
Answer: C) 50
Q. A typical rocket uses 10,000 kgs of fuel and ejects the burnt gases at a speed of:
Answer: B) 4000 ms⁻¹
Q. When a rocket is projected at an angle of 30° with initial speed 980 ms⁻¹, the time is:
Answer: C) 100 sec
Q. All the food that we eat in one day is about the same energy as 1/3 liter of milk is:
Answer: D) 2/3
Q. Solar energy _______ as light passes through atmosphere.
Answer: C) Decreases
Q. Geyser is an interesting phenomenon of _______ energy.
Answer: C) Geothermal
Q. The flight of an aeroplane is due to _______ on the upper of wings.
Answer: C) Increased velocity and decreased pressure
Q. What is the average translation K.E of molecules in gas at temperature 27°C?
Answer: A) $6.21 \times 10^{-21}$ J
Q. The maximum percentage efficiency of engine operating between 227°C and 27°C is:
Answer: D) 40%
Q. Centripetal acceleration is a _______ acceleration.
Answer: A) Instantaneous
Q. The minimum time period for a satellite revolving around the earth is approximately:
Answer: A) 84 min
Q. The maximum velocity that can be achieved by a body performing SHM is equal to:
Answer: C) $\omega x_0$
Q. The speed of sound in hydrogen is _______ times its speed in oxygen.
Answer: B) Four
Q. The near point for human eye is:
Answer: C) 25 cm
Q. Waves transport energy without transporting:
Answer: B) Matter
Q. The _______ of the light is inversely proportional to the refractive index.
Answer: B) Speed
Q. Energy acquired by a charged particle of 2e moving through a potential difference of 5V is:
Answer: B) 10 eV
Q. The device which converts the chemical energy into electrical energy is called:
Answer: C) Chemical cell
Q. If the color code on a carbon resistor from left to right are white, violet and red, then the resistance will be:
Answer: D) 9700 ohm
Q. In step up transformer current across secondary:
Answer: C) Decreases
Q. New particles may be discovered with the help of:
Answer: A) Wilson’s cloud chamber
Q. Half-life of radium is 1590 years. In how many years shall the earth loss all its radium due to radioactive decay?
Answer: D) Never
Q. When two identical waves are superposed, the velocity of the resultant wave:
Answer: B) Remain unchanged
Q. The resistance of a conductor depends upon:
Answer: D) Nature, dimension and physical state of conductor
Q. When the frequency of oscillator is slightly greater than that of resistance amplitude will:
Answer: B) Rapidly decreases
Q. Semi-conductor behaves as _______ at 0K.
Answer: A) Insulator
Q. The value of permittivity of free space is $8.85 \times 10^{-12}$:
Answer: B) $C^2 N^{-1} m^{-2}$
Q. Which material would provide best shielding for Coulomb’s force?
Answer: A) Mica
Q. In alternating current, inductor behaves like:
Answer: C) Resistor

MATHEMATICS

Q. $\sin 0 =$
Answer: A) 0
Q. The multiplicative inverse of (1, 5) is:
Answer: A) $(\frac{1}{26}, \frac{-5}{26})$
Q. The real part of $(3 + i)^2$ is:
Answer: C) 8
Q. $q \rightarrow p$ is only false when:
Answer: A) q true and p false
Q. If $A = [1, 0, 0, 1]$, then $A^2 =$
Answer: A) A
Q. Solution set of $4^x + 4 = 10$ is:
Answer: D) None of these
Q. If first term of A.P is 6 and 5th term is 14 then 20th term is:
Answer: B) 44
Q. $\sin 180^\circ – 35^\circ =$
Answer: C) $\sin 35^\circ$
Q. $\frac{1}{(x-1)(x+1)} =$
Answer: C) $\frac{1/2}{x-1} – \frac{1/2}{x+1}$
Q. The 5th term of $1, \frac{1}{4}, \frac{1}{8}, \dots$ is:
Answer: D) $1/16$
Q. The vulgar fraction of $1.242424\dots$ is:
Answer: B) $\frac{123}{99}$
Q. The sum of $1\times3 + 5\times3 + 9\times3 + \dots + 3(2n+1)$ is:
Answer: C) $3n(2n-1)$
Q. $\sin \frac{A}{2} =$
Answer: A) $\sqrt{\frac{1 – \cos A}{2}}$
Q. The principle value of $\sin(\sin^{-1} \frac{2\pi}{3})$:
Answer: B) $\frac{\pi}{3}$
Q. The area of the triangle with sides 12, 15 and 9:
Answer: C) 54
Q. The lines represented by $ax^2 + 2hxy + by^2 = 0$ are parallel if:
Answer: B) $h^2 – ab = 0$
Q. If $G(x) = -25$, then $\lim_{x \to 3} G(x) =$
Answer: C) -25
Q. If $\cos x = 1$ then $x =$?
Answer: A) $2n\pi, n \in Z$
Q. The equation of straight line through (-5, 4) having slope 7:
Answer: D) $y – 7x = 39$
Q. Which of the following points lie on circle $(x-4)^2 + (y-3)^2 = 25$:
Answer: D) All
Q. If $x= 3t$ and $y=6t$ then $dy/dx =$
Answer: B) 2
Q. $\frac{d}{dx}(\sin x^2) =$?
Answer: C) $2x \cos x^2$
Q. In case of $\sqrt{4-x^2}$, the suitable substitution is $x=$?
Answer: A) $2 \sin \theta$
Q. $\int x e^x dx =$
Answer: B) $e^x(x-1) + c$
Q. $\int xe^x dx=$
Answer: B) $e^x(x−1)+c$
Q. The center of ellipse $\frac{(x−2)^2}{25}+\frac{(y+3)^2}{16}=1$ is:
Answer: A) (2, -3)
Q. The point of intersection of $2x−3y=8$ and $3x+3y=−1$ is:
Answer: D) None
Q. If $A=7i−2j−k$ and $B=4i+2j+3k$ then find a unit vector perpendicular to plane containing A and B.
Answer: C) $\frac{1}{135}(7i−10j−6k)$
Q. When $x^2 +2x+k+3$ is divided by $x−2$, the remainder is 1. Then the value of k will be:
Answer: B) -10
Q. n is G.M. Between a and b if n=:
Answer: D) -0.5
Q. The solution set of equation $2x−2y=1$ and $x−y=6$?
Answer: A) ∅

CHEMISTRY

Q. The state of hybridization in $[Cu(NH_3)_4]^{2+}$ is:
Answer: B) $dsp^2$
Q. Which of the following reaction of $HNO_3$ is true?
Answer: A) $3Cu+8HNO_3→3Cu(NO_3)_2+2NO+4H_2O$
Q. Acetylene under pressure over organo-nickel catalyst at 70°C converts into:
Answer: A) Benzene
Q. The mode of hybridization in alkane is _______ and four hybrid orbitals are formed.
Answer: B) $sp^3$
Q. Which of the following agent oxidized the aldehydes to carboxylic acid?
Answer: B) Tollen’s reagent
Q. The IUPAC name of formic acid is _______ acid.
Answer: A) Methanoic acid
Q. Iodine gives deep blue color with:
Answer: C) Amylase (Starch)
Q. The part of fourdrinier table apparatus which discharges a uniform jet of pulp suspension is:
Answer: A) Head box
Q. The gas used to predict earthquake:
Answer: C) Radon
Q. The enzyme which is used in the treatment of blood cancer in children is:
Answer: A) Asparaginase
Q. Which of the following test is used for detection of aldehydes?
Answer: B) Benedict solution
Q. Sodium reacts with alkyl halides in ether to form alkanes, the reaction is known as:
Answer: A) Wurtz synthesis
Q. When the solute has gone in the ether layer then it is separated by _______ the ether.
Answer: B) Evaporating
Q. Oxidation state of manganese in $KMnO_4$ is:
Answer: C) +7
Q. Which of the following forms ideal solution?
Answer: A) Ethyl iodide and bromo-benzene
Q. Determine the mole fraction of $C_{12}H_{22}O_{11}$ in 1.8 Kg of water:
Answer: B) 0.77
Q. Density of methane at 0.525 atm and 127°C is:
Answer: D) None
Q. Which of the following gas has maximum value of e/m:
Answer: A) $H_2$
Q. The phenomena in which the substance exists in more than one crystalline form is called:
Answer: A) Polymorphism
Q. The crystalline form of $AgNO_3$ are:
Answer: A) Rhombohedral and Orthorhombic
Q. Which of the following is used in the sterilizing the medical equipment:
Answer: A) Plasma
Q. Photosynthesis is a _______ order chemical reaction.
Answer: A) 0th
Q. Black background is obtained in the:
Answer: B) Atomic absorption spectrum
Q. The wavelength of electron moving in Bohr’s first orbit is similar to that of:
Answer: A) X-rays
Q. Which process is used to separate solute from solution?
Answer: D) Crystallization
Q. Calorie is equivalent to:
Answer: B) 4.184 J
Q. Which of the following is not a state function?
Answer: D) Heat (and Work)
Q. The molarity of 20% w/w solution of $H_2SO_4$ in water is:
Answer: A) 4.52
Q. The solubility of _______ is decreased by increasing temperature:
Answer: D) $Na_2SO_4$
Q. The unit of rate constant is the same as that of the rate of reaction in _______ order:
Answer: B) 0th

ENGLISH

Q. Spot the error: When chips remembered things like this, he often felt that he will write them down and Make a book of them.
Answer: C) “will”
Q. Spot the error: They were daughters of a hardworking washermen who went about from house to House.
Answer: C) “washermen”
Q. Spot the error: What is meant by birth rate and death rate and how do they affect the population?
Answer: D) No Error
Q. Spot the error: They did not guess how closely he had kept in touch with across the road.
Answer: D) “across the road”
Q. Correct Sentence:
Answer: D) She drenched herself in perfume.
Q. Correct Sentence:
Answer: D) A day later he caught his first glimpse of Lahore.
Q. Correct Sentence:
Answer: A) This has a bad impact on economy.
Q. Correct Sentence:
Answer: A) He saved him from dying of thirst.
Q. Correct Sentence:
Answer: D) They try to pacify him with kindness and affection.
Q. Correct Sentence:
Answer: A) Why did you disagree with me?

 

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