ECAT Solved Model Past Paper 2018 PDF

Section 1: PHYSICS

Q. One light year is equal to:
Answer: 9.5 × 10¹⁵ m
Q. Reverse process of vector addition?
Answer: Vector Resolution (None of the above in options)
Q. When a ball reaches maximum height in 3 seconds, what is its initial velocity?
Answer: 29.4 m/sec
Q. Rocket propulsion is according to:
Answer: 3rd Law of Motion
Q. 1 Cal =
Answer: 4.18 Joules
Q. If a body of 2kg moves vertically 2m then work done is:
Answer: 39.2 J
Q. If the radius of circle is doubled, then centripetal force becomes:
Answer: Half
Q. Bernoulli equation is according to:
Answer: Law of Conservation of Energy
Q. The time period of a second pendulum is:
Answer: 2 Seconds
Q. When effective value (RMS) of current is 10, what is its peak value?
Answer: 14.14
Q. In diodes, the graph is drawn between:
Answer: Voltage & Current
Q. Speed of earth around the sun is:
Answer: 29600 m/sec
Q. In v=ωrv = \omega r, ω\omega is called:
Answer: Angular Velocity
Q. A shunt used to convert a galvanometer into an ammeter is:
Answer: Rs=IgRgI−IgR_s = \frac{I_g R_g}{I – I_g}
Q. A bullet fired at 30° with velocity 196 m/s, time in space is:
Answer: 20 s
Q. Acceleration due to gravity ‘g’ is:
Answer: 9.8 m/s²
Q. Speed of light in vacuum is:
Answer: 3×1083 × 10^8 m/s
Q. SI unit of Charge is:
Answer: Coulomb
Q. Newton’s 2nd Law equation is:
Answer: F=maF = ma
Q. Power of lens is measured in:
Answer: Diopter
Q. Unit of resistance is:
Answer: Ohm

Section 2: CHEMISTRY

Q. Which is universal solvent?
Answer: Water
Q. Molarity of heavy water is:
Answer: 55.5 mol/dm³
Q. Diamond is non-conductor due to:
Answer: Absence of free electrons
Q. Which is true?
Answer: Na+Na^+ is smaller than NaNa
Q. Which of the following is not alkali metal?
Answer: Ra (Radium)
Q. In primary alkyl halides, carbon is attached to:
Answer: One carbon atom
Q. Which is least reactive?
Answer: Ether
Q. Formula of methylene chloride:
Answer: CH2Cl2CH_2Cl_2
Q. Which has a net dipole moment?
Answer: All of these (NH3,H2ONH_3, H_2O)
Q. The maximum value of O2O_2 is at:
Answer: STP
Q. Order of rate of diffusion is:
Answer: Br2<SO2<CO2<NH3Br_2 < SO_2 < CO_2 < NH_3
Q. Oxidation of NO in air gives:
Answer: NO2NO_2
Q. Used for disinfection of water:
Answer: Cl2Cl_2
Q. Planar shape is made in which hybridization?
Answer: sp2sp^2
Q. In which orbital electrons go after 6d?
Answer: 7p
Q. Point where heat is absorbed without change in phase:
Answer: Specific Heat Point
Q. Which gives +3 charge?
Answer: Al
Q. The pH of 10−310^{-3} moles of HNO3HNO_3 is:
Answer: 3
Q. Which is not a calcareous material?
Answer: Clay
Q. Which is synthetic polymer?
Answer: PVC / Polyethylene / Polystyrene
Q. Not present abundantly in earth crust?
Answer: Ba (Barium)
Q. Catalyst to convert carboxylic acid into alcohol:
Answer: LiAlH4LiAlH_4
Q. Methylated Alcohol contains:
Answer: 95% Ethanol
Q. A single chloride free radical can destroy how many ozone molecules?
Answer: 100,000
Q. How many zones in rotary kiln?
Answer: 3
Q. Compound shows H-bonding:
Answer: C2H5OHC_2H_5OH
Q. London dispersion forces exist in:
Answer: Neon gas molecules
Q. Reactivity order of alkyl halides:
Answer: RI>RBr>RCl>RFRI > RBr > RCl > RF
Q. Formula of Rust:
Answer: Fe2O3⋅nH2OFe_2O_3 \cdot nH_2O
Q. Chemical formula of Glucose:
Answer: C6H12O6C_6H_{12}O_6
Q. Which gas is used in electric bulbs?
Answer: Argon
Q. pH of human blood is:
Answer: 7.4
Q. Chemical name of Baking Soda:
Answer: Sodium Bicarbonate
Q. Most electronegative element is:
Answer: Fluorine
Q. Which metal is liquid at room temperature?
Answer: Mercury

Section 3: MATHEMATICS

Q. Which does not have closure property?
Answer: [0,1]
Q. A non-negative rational number is group under:
Answer: Multiplication
Q. A set with no element is called:
Answer: Empty Set
Q. A matrix with all entries zero is called:
Answer: Null Matrix
Q. If degree of numerator < denominator then fraction is:
Answer: Proper Fraction
Q. If “a” is 1st term and “r” is common ratio, then (n+1)(n + 1)th term is:
Answer: arnar^n
Q. Binomial theorem is used to sum up which series?
Answer: Convergent Series
Q. sin⁡(180+θ)\sin(180 + \theta) =
Answer: −sin⁡θ-\sin\theta
Q. cos⁡11+sin⁡11cos⁡11−sin⁡11=?\frac{\cos11 + \sin11}{\cos11 – \sin11} = ?
Answer: tan⁡56∘\tan56^\circ
Q. The solution of 1+cos⁡x=01 + \cos x = 0 is:
Answer: π+2kπ\pi + 2k\pi
Q. ∫xcos⁡x dx=?\int x \cos x \, dx = ?
Answer: xsin⁡x+cos⁡x+cx \sin x + \cos x + c
Q. lim⁡θ→0sin⁡θθ=?\lim_{\theta \to 0} \frac{\sin\theta}{\theta} = ?
Answer: 1
Q. If x=acos⁡θ,y=asin⁡θx = a \cos\theta, y = a \sin\theta, then dy/dx=?dy/dx = ?
Answer: −cot⁡θ-\cot\theta
Q. If y=a2+x2y = \sqrt{a^2 + x^2}, then dy/dx=?dy/dx = ?
Answer: xa2+x2\frac{x}{\sqrt{a^2 + x^2}}
Q. If “k” is constant then ∫kf(x) dx=?\int kf(x)\,dx = ?
Answer: k∫f(x) dxk \int f(x)\,dx
Q. If eccentricity e>1e > 1, then the figure is:
Answer: Hyperbola
Q. If y2=3xy^2 = 3x, then the equation of directrix is:
Answer: x=−3/4x = -3/4
Q. Probability of numbers > 4 by throwing a dice:
Answer: 1/3
Q. Value of (−1+3i)3(-1 + \sqrt3 i)^3:
Answer: 8
Q. When f(x)=sin⁡xf(x)=\sin x and x=0x=0, then slope will be:
Answer: 1
Q. sinh⁡x+cosh⁡x=?\sinh x + \cosh x = ?
Answer: exe^x
Q. 1−cos⁡αsin⁡α=?\frac{1-\cos\alpha}{\sin\alpha} = ?
Answer: tan⁡(α/2)\tan(\alpha/2)
Q. Distance of point (10, -10) from origin:
Answer: 10210\sqrt2
Q. The A.M between 1000 and 4 is:
Answer: 502
Q. Area of triangle in terms of sides (Hero’s Formula):
Answer: s(s−a)(s−b)(s−c)\sqrt{s(s-a)(s-b)(s-c)}
Q. If sin⁡θ<0\sin\theta < 0 and cos⁡θ>0\cos\theta > 0, terminal side is in:
Answer: 4th Quadrant
Q. Derivative of tan⁡x\tan x:
Answer: sec⁡2x\sec^2 x
Q. cos⁡2θ+sin⁡2θ\cos^2\theta + \sin^2\theta is:
Answer: 1

Section 4: ENGLISH

Q. “This apartment be perfect…” → Error is:
Answer: be (Should be: would be)
Q. “He borrowed the money so he could finish…” → Error is:
Answer: None (Correct Sentence)
Q. “…to answer the telephone, to type letters, and book keeping” → Error is:
Answer: book keeping (Should be: to keep books)
Q. “…rather that her husband doesn’t work so hard.” → Error is:
Answer: doesn’t (Should be: didn’t)
Q. Correct sentence:
Answer: She drenched herself in perfume.
Q. Correct sentence:
Answer: A day later he caught his first glimpse of Lahore.
Q. Correct sentence:
Answer: This has a bad impact on the economy.
Q. Correct sentence:
Answer: He saved him from dying of thirst.
Q. Correct sentence:
Answer: They try to pacify him with kindness and affection.
Q. Correct sentence:
Answer: Why did you disagree with me?
Q. Synonym of “Brief”:
Answer: Short
Q. Antonym of “Giant”:
Answer: Dwarf

Leave a Reply

Your email address will not be published. Required fields are marked *