ECAT Past Papers 2010

ECAT MCQ’S:

Physics ECAT MCQ’S:

One light year is equal to:

• A) 9 x 10¹²m
• B) 6 x 10¹²
• C) 9.5 x 10¹³m
• D) None

Reverse process of vector addition:

• A) Subtraction
• B) Division
• C) Multiplication
• D) None

When a ball moves from and reaches to its maximum height in 3 seconds, what is its initial velocity?

• A) 40 m/sec
• B) 29.4 m/sec
• C) 35 m/sec
• D) 25 m/sec

Rocket propulsion is according to:

• A) 3rd law of motion
• B) 1st
• C) 2nd
• D) None

1 Cal = _ J

• A) 418
• B) 400
• C) 10
• D) 4.18

If a body of 2 kg moves vertically 2 m then work done is:

• A) -39.2 J
• B) 20 J
• C) 45 J
• D) 35 J

If the radius of circle is doubled, then centripetal force becomes:

• A) Doubled
• B) Remains same
• C) Half
• D) Reduces four times

Bernoulli equation is according to ___________ law.

• A) Stock’s law
• B) Einstein’s equation
• C) Newton’s law
• D) None

The time period of a second pendulum from its extreme to mean position:

• A) T
• B) T/4
• C) T/2
• D) 2 sec

The velocity of sound is doubled as that of at 10°C, Calculate Temperature:

• A) 859°C
• B) 560°C
• C) 760°C
• D) 500°C

The range of visible wavelength spectrum is:

• A) 400-750
• B) 100-400
• C) 400-1000
• D) 300-600

The range of wave number of light is 5 x 10⁶m¹. Calculate its wavelength:

• A) 2 x 10⁷m
• B) 2 x 10^-7 m
• C) 5 x 10^-8m
• D) None

Least distance of distinct vision for the human eye is:

• A) 50 cm
• B) 25 cm
• C) 30 cm
• D) 20 cm

If the distance is doubled between two charges, then Coulomb’s force becomes:

• A) Doubled
• B) Half
• C) Reduced 4 times
• D) Remains same

Two resistances of 6Ω each are in parallel and a third of 3Ω is connected in series. The equivalent resistance is:

• A) 10/3
• B) 15
• C) 9
• D) 6

If a magnet is in a non-uniform magnetic field, it will experience:

• A) Attraction
• B) Repulsion
• C) Neutral
• D) None

Emf = VBL sinθ (related to that):

• A) Volts
• B) Ohm
• C) Newton’s
• D) Joules

The force F experienced by a conductor of length L carrying current when placed in a uniform magnetic field B is given by the relation:

• A) F = B/iL
• B) F = IL/B
• C) F = BiL
• D) f = L x B/I

High voltage is obtained from:

• A) Plasma generators
• B) Battery
• C) Energy probe
• D) None

Unit of longitudinal strain is:

• A) m
• B) Unit less
• C) 1/m
• D) None of these

A completely filled band is called:

• A) Forbidden band
• B) Conduction band
• C) Both
• D) None

Which of the following is used for detection of light?

• A) Reverse biased photodiode
• B) Forward biased photodiode
• C) Both
• D) None

In 92U235 the neutron to nucleon ratio is:

• A) 143/235
• B) 145/235
• C) 235/143
• D) 92/235

If intensity and frequency of light is doubled, then emission of electrons is:

• A) Doubled
• B) Increases four times
• C) Half
• D) Same

When effective value of current is 10, what is its peak value?

• A) 12
• B) 10
• C) 13
• D) 14.5

In diodes, the graph is drawn between:

• A) Voltage & current
• B) Voltage and intensity
• C) Intensity and current
• D) None

Speed of earth around the sun is:

• A) 29600 m/sec
• B) 29000 m/sec
• C) 30000 m/sec
• D) None of above

In v=wr, w is called:

• A) Tangential velocity
• B) Radius of circle
• C) Rotational velocity
• D) All

A small parallel resistance (shunt) used to convert a galvanometer into an ammeter of suitable range is given by:

• A) Rs = (lg)/(l-lg) Rg
• B) Rs = (lg-l)/(lg)
• C) Rs = (lg)/(l-lφ)
• D) None

A bullet is fired with an angle of 30° with the velocity of 196 ms^-1. For how much time the bullet will remain in space?

• A) 10 s
• B) 30 s
• C) 20 s
• D) 40 s

Mathematics ECAT MCQ’S:

• Question 31: Which of the following does not have closure property?
  • A) [0, 1]
  • B) [1 – 1]
  • C) [0, 0]
  • D) None
• Question 32: A non-negative rational number is grouped under:
  • A) Addition
  • B) Multiplication
  • C) Subtraction
  • D) Both A and C
• Question 33: A set with no element is called:
  • A) Empty set
  • B) Unit set
  • C) Identity set
  • D) None
• Question 34: A matrix with all entries zero is called:
  • A) Null matrix
  • B) Unit matrix
  • C) Identity matrix
  • D) None
• Question 35: If the degree of the polynomial in the numerator is less than the denominator, then the fraction is called:
  • A) Proper fraction
  • B) Improper fraction
  • C) Both
  • D) None
• Question 36: If “a” is the first term and “r” is the common ratio, then the (n + 1)th term is:
  • A) ar^n
  • B) ar
  • C) a
  • D) None
• Question 37: Binomial theorem is used to sum up the following series:
  • A) Divergent
  • B) Convergent
  • C) Any
  • D) None
• Question 38: Sin(180+θ):
  • A) -Sin θ
  • B) -Cos θ
  • C) Both
  • D) None
• Question 39: If cos 11° / sin 11° = tan 56°, then:
  • A) tan 56°
  • B) sin 56°
  • C) cos 56°
  • D) None
• Question 40: The solution of 1 + cos x = 0 is:
  • A) π + 2kπ, k ∈ ℤ
  • B) π − 2kπ
  • C) 2kπ
  • D) None
• Question 41: ∫ x cos x dx = ?
  • A) x sin x − cos x + C
  • B) x sin x − cos x − C
  • C) x cos x − sin x + C
  • D) None
• Question 42: lim θ→0 sin θ / θ = ?
  • A) 0
  • B) 1
  • C) -1
  • D) 2
• Question 43: If x = a cos θ, y = a sin θ, then dz / dy = ?
  • A) -cot θ
  • B) cos θ
  • C) tan θ
  • D) None
• Question 44: If y = a + x^2, then dx / dy = ?
  • A) (2x / a + x^2)^1/2
  • B) x / a + x^2
  • C) (-2x / a + x^2)^1/2
  • D) None
• Question 45: If “k” is constant, then ∫ k f(x) dx = ?
  • A) kx
  • B) kx + C
  • C) F(x)
  • D) None
• Question 46: If dx / dy = 2, then the equation becomes:
  • A) 2y^3 – 2y^2 + x = 0
  • B) 2y^3 – 2y^2 – x = 0
  • C) 2y^3 + 2y^2 + x = 0
  • D) None
• Question 47: If eccentricity e > 1, then the figure is:
  • A) Ellipse
  • B) Parabola
  • C) Circle
  • D) Hyperbola
• Question 48: If y = (3 / 2) x^2, then the equation of rectum is:
  • A) 4x / 3
  • B) 3y / 4
  • C) 3y / 1
  • D) 7y / 5
• Question 49: The probability of getting numbers greater than ‘4’ by throwing a dice is:
  • A) 1/3
  • B) 3/4
  • C) 3/2
  • D) None
• Question 50: (4 – 2i) / (1 + 3i) = ?
  • A) (2 – 3i) / 2
  • B) (2 – 3i) / 2
  • C) (2 – 3i) / 2
  • D) None
• Question 51: When f(x) = sin x and x = 0, then the slope will be:
  • A) 1
  • B) -1
  • C) 0
  • D) 2
• Question 52: R = ?
  • A) 4Δ / abc
  • B) abc
  • C) Δ / abc
  • D) None
• Question 53: sinh(x) cosh(x) / 2 = ?
  • A) cosh^2(x)
  • B) cosh(x)
  • C) sinh(2x)
  • D) None
• Question 54: sin(1 – cos α) = ?
  • A) tan(α / 2)
  • B) cot(α / 2)
  • C) sin(α / 2)
  • D) None
• Question 55: If 2ax + hxy + by^2 = 0, their lines are orthogonal when:
  • A) a + b = 0
  • B) a – b = 0
  • C) a = b
  • D) None
• Question 56: The distance of a point (10, -10) from the origin is:
  • A) √200
  • B) 10
  • C) 15
  • D) None
• Question 57: The arithmetic mean between 1000 and 4 is:
  • A) 502
  • B) 500
  • C) 402
  • D) 602
• Question 58: The area of a triangle in terms of its sides is equal to:
  • A) S(s – a)(s – b)(s – c)
  • B) S(s – a)(s – b)(s – c)
  • C) S(s + a)(s + b)(s + c)
  • D) None
• Question 59: If sin θ < 0 and cos θ > 0, then in which quadrant do the terminal sides of the angle lie?
  • A) 1st
  • B) 2nd
  • C) 3rd
  • D) 4th
• Question 60: A dice is rolled, what is the probability of getting a number greater than 4?
  • A) 1/4
  • B) 1/3
  • C) 1/2
  • D) 1/6

Chemistry MCQ’S:

• Question 61: The roots of combined equations of the straight line 2ax + hxy + by = 0 are real and coincident if:
  • A) h = ab/2
  • B) h = -ab/2
  • C) 0 < 2h – ab
  • D) 0 > 2h – ab
• Question 62: Which is the universal solvent?
  • A) Water
  • B) HCl
  • C) Ether
  • D) None
• Question 63: Molarity of heavy water:
  • A) 55.5 mol.dm^3
  • B) 60.5
  • C) 40.5
  • D) 50.5
• Question 64: Diamond is a non-conductor due to:
  • A) Free electrons present
  • B) Giant structure
  • C) Absence of free electron
  • D) None
• Question 65: Which of the following is true?
  • A) Na+ is smaller than Na
  • B) Cl- is less than Cl
  • C) Na+ is greater than Na
  • D) None
• Question 66: Which of the following is not an alkali?
  • A) Ra
  • B) K
  • C) Na
  • D) All
• Question 67: The comparative rate at which solute moves in paper chromatography depends upon R1 value of:
  • A) Solute
  • B) Solution
  • C) Solvent
  • D) None
• Question 68: In primary alkyl halides, hydrogen is bonded to that carbon which is attached to carbon atoms:
  • A) 1
  • B) 3
  • C) 2
  • D) None
• Question 69: Which of the following is least reactive?
  • A) H2O
  • B) Alcohol
  • C) Ether
  • D) H2SO4
• Question 70: Which of the following is the formula of methylene chloride?
  • A) CH2Cl2
  • B) CHCl3
  • C) CH3Cl
  • D) CCl4
• Question 71: Which of the following has a net dipole moment?
  • A) CO
  • B) NH3
  • C) H2O
  • D) All of these
• Question 72: The maximum value of O2 is at:
  • A) HTP
  • B) STP
  • C) 127°C, 1 atm
  • D) None
• Question 73: The order of rate of diffusion is:
  • A) SO2 > CO2 > Br2 > NH3
  • B) Br2 < SO2 < CO2 < NH3
  • C) Br2 > SO2 > CO2 > NH3
  • D) SO2 < CO2 < Br2 < NH3
• Question 74: Oxidation of NO in air gives:
  • A) N2H4
  • B) NH4
  • C) NH3
  • D) None
• Question 75: Which of the following is used for disinfection of water?
  • A) Cl2
  • B) F2
  • C) Br2
  • D) I2
• Question 76: The planar shape is made in which type of hybridization?
  • A) sp^3
  • B) sp^2
  • C) sp^1
  • D) None
• Question 77: In which orbital do electrons go after 6d?
  • A) 7s
  • B) 8s
  • C) 7p
  • D) 6s
• Question 78: At which point is heat absorbed without change in phase?
  • A) Melting point
  • B) Boiling point
  • C) Both
  • D) None
• Question 79: Which gives +3 charge?
  • A) Al
  • B) Ca
  • C) Na
  • D) None
• Question 80: The pH of 10^-3 moles of HNO3 is?
  • A) 2.7
  • B) 2.0
  • C) 3
  • D) 1.5
• Question 81: Which is not a calcareous material?
  • A) Clay
  • B) Marble
  • C) Lime
  • D) Marine shell
• Question 82: Which is a synthetic polymer?
  • A) Polystyrene
  • B) Polyethylene
  • C) PVC
  • D) None
• Question 83: Which is not abundantly present in the Earth’s crust?
  • A) Na
  • B) Al
  • C) Ba
  • D) Ca
• Question 84: Which catalyst is used to convert carboxylic acid into alcohol?
  • A) NaBH4
  • B) H2SO4
  • C) LiAlH4
  • D) None
• Question 85: Methylated Alcohol contains:
  • A) 95% alcohol
  • B) 90% alcohol
  • C) 80% alcohol
  • D) None
• Question 86: A single chloride free radical can destroy how many ozone molecules?
  • A) 100
  • B) 10000
  • C) 100000
  • D) 10
• Question 87: How many zones does the charge pass through in a rotary kiln?
  • A) 4
  • B) 2
  • C) 3
  • D) 5
• Question 88: Which compound shows H-bonding?
  • A) C2H4
  • B) CH3–O–CH3
  • C) C2H2Cl
  • D) C2H5OH
• Question 89: London dispersion forces exist in:
  • A) In bromine water
  • B) In molecules of neon gas
  • C) In HCl
  • D) In molecules of CH3Cl
• Question 90: The reactivity order of alkyl halides for a particular alkyl group is:
  • A) F > Cl > Br > I
  • B) I > Br > Cl > F
  • C) Cl > Br > F > I
  • D) Br > I > Cl > F

English MCQ’S:

• Question 91: This apartment would be perfect, if it were a little larger.
  • A) be B) perfect C) if D) were
• Question 92: He borrowed the money so he could finish his education.
  • A) borrowed B) so C) finish D) his
• Question 93: The duties of the new secretary are to answer the telephone, to type letters, and book keeping:
  • A) letters B) and C) book D) keeping
• Question 94: Daina would rather that her husband doesn’t work so hard.
  • A) would B) rather C) doesn’t D) so
• Question 95: Pick the correct one:
  • A) She drenched herself in perfume
  • B) She drenched herself with perfume
  • C) She drenched herself into perfume.
  • D) She drenched herself in perfume.
• Question 96: A day later he took his first glimpse of Lahore.
  • A) later B) took C) glimpse D) Lahore
• Question 97: This has a bad impact on the economy.
  • A) has B) bad C) on D) economy
• Question 98: He saved him from dying of thirst.
  • A) saved B) from C) dying D) thirst
• Question 99: They try to pacify him with kindness and affection.
  • A) try B) pacify C) with D) affection
• Question 100: Why did you disagree with me?
  • A) Why B) disagree C) with D) me

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These questions of ECAT are arranged as requested. Let me know if there’s anything else you need!