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ECAT 2012 MATH

Posted by: Unknown Posted date: 19:47 / comment : 0 , , ,



Note:-please write the answer in comment box.It will help us a lot in finding answer of these questions.

1) There are 30 students in a class.22 study Math,16 study Physics and 2 study neither MATH nor Physics.The number of student who study both Math and Phy is??
a) 12
b) 5
c) 10
d) 8


2) The integral 2 ∫ 2 (lny+y2+msiny)dy equals??
a) 15
b) 20
c) 0
d) 25


3) Function f(x)=sinx/x has a maximum value of:
a) 1 as x → 0
b) 1 as x → ∏
c) infinity at x=0
d) infinity at x= ∏


4) Area under the curve f(x)=x2+x+1 between x=1 and x=3
a) 44/3
b) 22/3
c) 44/5
d) 22/5


5) Function f(x)=3x-7 is defined as x ∈ R & g(x)=12(x-2)-1 is also defined as x ∈ R except x=2.The value(s)of x for which fg(x)=0 is (are):
a) +10
b) -5
c) +10 or -5
d) -10 or +5


6) The set of values of x for which (x-6)2 >x are:
a) x<4 or x>9
b) x<4 or x>-9
c) x<9 or x>4
d) x<-9or x>-4


7) The function y=3x-x3 for x ≥ 0 has a min.value at:
a) (1,2)
b) (2,1)
c) (3,4)
d) (2,2)


8) Solve 2x-3/9-x =32/4x/2
a) 5/8
b) -5/8
c) 8/5
d) -8/5


9) AOB is a sector of a circle whose centre is O and radius 5cm.If the perimeter of the sector is 14cm,then the value of the angle AOB 9in radian) is:
a) 0.6 radian
b) 0.8 radian
c) 0.5 radian
d) 1.0 radian


10) The slope(gradient) of the curve y=x3-3x2-9x+11 is 15 when x coordinates are
a) +2,-2
b) 3,4
c) -2,+4
d) +5,-5


11) If √ (a+b √ 3) =13(4+ √ 3)-1 then the value of integers a and b are
a) -19 and +8
b) +19 and -8
c) -19 and -8
d) +19 and +8


12) The derivative of function e5-2x? (same in 2013 paper)
a) -2e5-2x
b) e2x
c) e5
d) e5-2x


13)The solution of 125x = 25(5x) and 7x ÷ 49y =1:
a) (2/5,4/5)
b) (4/5,2/5)
c) (2/5,-4/5)
d) (-2/5,4/5)


14) The solution of log4y+log2y=9 is
a) 6
b) 40
c) 50
d) 64

ECAT 2013 CHEMISTRY

Posted by: Unknown Posted date: 15:31 / comment : 0 , , ,



Note:-Please write the answer in comment box.it will help us a lot in finding answer of these questions.


1) When Borax Is Hydrolized Then Caustic Soda And Boric Acid Is Produced Then The Solution Is
a) Neutral
b) Acidic
c) Alkaline
d) Basic


2) In Exothermic Reaction If Temp Is Increased Then Reaction Moves
a) Backward
b) Forward
c) No change
d) None


3) Nylon Is Which Type Of Polyme
a) Condensation
b) Addition
c) Both
d) None


4) How Many Maximum Amino Groups In Amino Acid?
a) 1
b) 2
c) 3
d) 4


5) Lithium and sodium both belongs to same group but Lithium differs in properties remarkably because
a) Lithium is lighter than sodium
b) large charge to size ratio
c) Li slowly react with water
d) All


6) The repeating unit is(-ch2-ch2-)n the molecular mass of repeating unit is
a) 6300
b) 63000
c) 5800
d) None


7) which has no Hydrogen bonding
a) Alcohol
b) Water
c) Ethane
d) Acetic Acid


8) which one is not true about hydrocarbons
a) They are aromatic compound
b) They have high C-H ratio
c) They are ring compound
d) All have odour


9) hydroocarbon containing triple bond are
a) Alkene
b) Aromatic
c) Alkane
d) Alkyne


10) Suring the preparation of Na electrolysis of sodium salt CaCl2 Is added to
a) To increase the temperature
b) To decrease the temperature
c) No effect
d) None


11) Oxidation state of cl in NaCl and NaOCl is
a) -1,+1
b) 2,-1
c) -1,2
d) None


12) which of following does not have haxagonal structure
a) Zn
b) Zn Oxide
c) Graphite
d) Gold


13) Phenol is
a) Similar to alcohol
b) Contains one OH
c) It is aromatic containing benzene ring
d) Both b & c


14) Zn can be converted into Cu by
a) Neutron
b) &#913 particles
c) &#914 particles
d) None


15) How to obtain bio gas?
a) It is not a gas
b) Obtained from cattle waste
c) Obtained from underwater reservoir
d) None


16) Which one is covalent giant molecule?
a) Diamond
b) Sugar
c) Ice
d) None


17) What is oxidation state of Sulphur in Na2SO4?
a) 2
b) 5
c) 4
d) None


18) Free Cl forms is??
a) Lithosphere
b) Troposphere
c) Biosphere
d) Stratosphere

ECAT 2013 MATH

Posted by: Unknown Posted date: 13:33 / comment : 0 , ,



Note:Please write the answer in comment box.It will help us a lot in finding answer of these questions.
1) (1+cosx)/sinx+sinx/(1+cosx) equal to
a) 2/sinx
b) tan2x
c) sec2x
d) None


2) The Function y=3x-x2 for x≧ 0 has a maximum value at
a) 1,2
b) 2,1
c) 3,4
d) 2,2


3) How many arrangments of the letters of FASTING can be made?
a) 5040
b) 2045
c) 2520
d) None


4) n2!/(n-1)!(n-2)!
a) n
b) n2
c) n3-n2
d) None


5) log9y+log3y= 3
a) 9
b) 27
c) 3
d) None


6) 3 ∫ 2 (x3+2x2+1)dx
a) 15
b) 25
c) 35
d) None


7) the coefficient of x in the expansion of ( 1 - 2x )n is -8 then the coefficient of x2 will be
a) 24
b) 24x2
c) 48
d) 48x2


8) 9x2+kx+36=(3x+n)2 value of k-n?
a)
b)
c)
d)


9) A line X=Y+2 intersects at Y2=XY-1...coordinates of points of intersection are:
a) (0.5,2.5)
b) (2,0.5)
c) (2.5,0.5)
d) (2,1)


10) Find Solution Of Equations 2x-y-4,2x2-4xy-y2
a)
b)
c)
d)


11) ∏ /2 x ∫ (siny+2)dy ?
a) 0
b) 1
c) ∏ +1
d) None


12) if x=sin Θ then find cos Θ
a) ∓ √ 1-x2
b) ∓ √ 1+x2
c) ∓ √ 1+x
d) None


13) esin(5-2x) difrentiation
a) -2cos esin(5-2x)
b) 2cos esin(5-2x)
c) 2cosec esin(5-2x)
d) 2sec esin(5-2x)


14) Expand upto 2 terms (2.02)4 binomial theorem through
a) 16.44
b) 0.644
c) 6.44
d) None


Engineering College Admission Test

Posted by: Unknown Posted date: 09:43 / comment : 0 , , ,



MATH

Engineering College Admission Test

ECAT 2011

1.       The average value of an even function is 
        (-ve,+ve,infinite,none)

2.       The value of the equation x2-x+P should be greater than 3 when P=?

3.       Ax3-8x+b+6 is exactly divisible by x3+2x-3=0 then the value of a and b??

4.       X+2y+2=0 and x2+y2=4 meet at?

5.       Rank of A is related with ranks of A At
        (small,equal,same,none)

6.       Sum of series n=1 to infinity………………..1/5n=?

7.       After t second increase in volume is 5-2/t+1 then at t=3 rate of increase is?

8.       4x+1=2(7-2x) find solution

9.  If f(x)=2x/x=1 and x not equal to 1.Then composite function ff=f2 is infinity    at(1,+1,+2,None)

10.   Find area of y=-1+(9/x2) when  3 >_x<_5

11.   Cos40+cos100+cos140=?

12.   Logx5=4Log5(x) find solution?

13.   Log3(X-1) +Log3(X+3)-Log(X+1)=1 find solution

14.  5 men,4 girls,not two girls stand together and then how many ways line can be      formed?

15.   5 membered committee to be formed from five couples then how many committee  can be  formed when men are greater than women?

16.   A is scalar,X is a column vector,Then AX is?
       ( Column vector,etc)

Engineering College Admission Test

Posted by: Unknown Posted date: 09:16 / comment : 0 , , ,

      
       PHYSICS 

Engineering College Admission Test

 (ECAT 2011)




      1.       Force is required to be a body of 1 kg placed on inclined plane at an angle of 30o to move it. The force is
(g, g radical 3, g/radical 3,g/radical 2)  

2.       A ball strikes another ball mass 2 kg and 1 kg at rest with a velocity 30 ms-2.If after the collision the velocities  are 20 and 15 ms-1,then
(it undergo Elastic collision—true option)

3.       Two satellites s1 and s2 are with radius from the centre of earth of 80,000 and 40,000,then their orbital velocity v1 and v2 are
( radical 2 v1=v2,radical 2 v2=v1,v1=v2,none)

4.       A body takes a pendulum in the lift and it accelerates upwards the tension in the string (increases ,decreases ,first increases then decreases, decreases then increases)

5.       The pressure in a pipe of varying cross sectional area, the pressure at smallest radius portion of it 
(minimum ,maximum ,none)

6.       A car approaches c1 to another c2 with a velocity of____.If the apparent frequency of c1,when it horns, for c2 is___.The real frequency is?
( the data was given---the type of question was like this)
      7.       In astronomical telescopes the final image is formed at
      (near point, infinity)
8.       A gas is enclosed in a container fitted with piston of cross sectional of 0.03m2 and pressure is maintained at 100Nm2.When heat is slowly transferred, the piston is pushed up through a distance of 4 cm and 100 J heat is transferred to the system then final delta U?

9.       In carnot engine the gas is
(explained isothermally and compressed adiabatically respectively, or other option were there)

10.   A charge of 100mC passes through a potential difference of 100V of mass 0.1ms,then what is charge in velocity?

11.   When a 500 ohm resistance is replaced by 100 ohm in a cell, effect on terminal velocity?

12.   Current passing through two wires in same direction
(repel, attract)

13.   A particle passes through the solenoid along the axis, then it will pass along the path
(parallel to axis,along spiral path etc)

14.   In RC circuit_____leads the_____

15.   If a bulb and capacitors are connected in series, the current passing in AC,then bulb will
(glow, fused, nothing  happens, etc)

16.   Transistor is used as
(switch--- right answer)

17.   If inputs are different then for NAND gate, the output is?

18.   A boy named Amir sees a scale placed on earth while he is in aero plane. Then the length of scale will
(increased, decreased, same)

19.   If the speed of body is increased, the mass of body will
(increase, decrease, none)

20.   As the temperature increases, no.of longer wavelength in radiation
(increases, decreases, none)

21.   When photo electrons are emitted from metal surface then what would be greater than threshold?
(intensity, frequency, both, none)

22.   Davison and Germer experiment proves
( wave nature of electrons, particle nature of electrons, both)

23.   Laser will produce if the atoms in lower energy states are___ than those in higher energy states
(greater, less, equal, All)

24.   A flexible loop of wire is lying such that field of lines are parallel to area. If area begins to change then emf induced is
(maximum, zero, both, none)

25.   In FM,the amplitude of carrier wave is
(diminished, increased, both, none) 

Engineering College Admission Test(ECAT 2011)

Posted by: Unknown Posted date: 08:33 / comment : 0 , , ,


ENGLISH

Engineering College Admission Test 

ECAT 2011





  1.         Bread at abroad meat better than home is ( arrange this)
  2.         De-morgue---synonym
  3.         Punctuation
  4.         Passive voice
  5.        Degree:temp (analogue asked)
  6.        Weight:Kilogram
  7.        Necessity is the mother of invention-------scientists have discovered many things----when there is a will, there is a way—(Mistakes were made in these and was asked to choose the correct one)

Engineering College Admission Test (UET)

Posted by: Unknown Posted date: 08:24 / comment : 0 , , ,


CHEMISTRY

Engineering College Admission Test

(ECAT 2011)


1. Half life method is used for
(1st Order reaction,2nd Order reaction, Zero order reaction, Integer Fraction)

2. CO2 dry ice has……..types of crystals?
( Molecular, Ionic)

3. Aluminium Hydride AlH3……..?
(Related Question was asked)

4) Pressure increases on gas, then forces become?
(Significant, insignificant)

5) Composition of aqua regia
6) Lanthanide contraction Period
(Related question was asked)

7) Trend of Oxidation State.

8) Which one of the following is false?
       a) Copper is softer than Sodium
       b) Diamond is not a conductor
       c) Cs & Na has same structure

9) e/m of cathode and positive rays.

10) H2SO4 in pure form.
(Dehydrating agent, odorless, conductor of electricity, All)

11) Benzene Stability dependence-----delocalization of PIE Electrons.

12) Distribution Law-------Solvent Extraction
(ratio of solutes of Urea)

13) Which one is more Dilute?
(1 molar or 1 molal solution of Urea)

14) 9% increase during freezing water is due to
( tetrahedral structure with empty spaces, trihedral with empty spaces)

15) What’s the effect on equilibrium--------during change in volume?

16) Catalyst disturbs the:-
(equilibrium constant, position, none)

17) Electrochemical series used for:-
(redox reaction ,battery reaction)

18) Depression of freezing point when volatile solute is dissolved in it
(related question was asked)

19) In first order reaction,50% of the substance decays in 1 hour,remaining will decay in?

20) Rate of reaction depends upon surface area
(Related Question)

21) The substance which posion the catalyst?

22) Group 4A elements from
(Hydride, Dioxide, Halide)

23) Li only form
(suboxide,oxide,superoxide,all)

24) Red Phosphorus
( macro molecule,micro molecule)

25) K2Cr2O2, Oxidation states of all respectively?

26) Transition Elements
( All are metals, conductor of heat, variable oxidation state, all)

27) Which of the following react with Fehling solution?

28) Enthalpy change--------related question

29) An acetal forms-------alcohols react aldehydes.




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