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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
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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) Α particles
c) Β 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
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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
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1) If Thermistor Is Placed In Oven If Temp Of oven Is Increased Then resistance will be
a) Increases
b) Decreases
c) Remains same
d) None
2) A Body is accelerating downward with 9.8ms-2. If we throw it with some force, then acceleration will be:
a) More than 9.8
b) Less than 9.8
c) Equal
d) None
3) To Increase Charging of Capacitor
a) Resistance Decrease
b) Capacitance Increases
c) Fixed Capacitance
d) None
4) The Angular Frequency Of A Pendulum Is 1 Rad/sec Its Length Will Be :
a) 24m
b) 9.8m
c) 3.98m
d) None
5) If 1 micro coulumb charge is pass through wire in 1 micro second then current will be
a) lA
b) 1uA
c) 1mA
d) None
6) Orbital speed of stallites going around the earth increased if the distance from earth is......
a) increased
b) Decreased
c) Remains same
d) None
7) a helicopter is ascending vertically at the rate of 19.6ms-1 when it is at a height of 156.8m above the ground.how long the stone takes to reach the ground(Hint:1st year 3rd Ch#1st numerical)?
a) 8 sec
b) 4 sec
c) 2 sec
d) None
8) Tesla is a unit of magnetic field is equal to ....?
a) Nm/A
b) NmA
c) N/Am
d) None
9) voltage-current graph of non ohmic device is......
a) straight line
b) linear
c) Parabola
d) Hyberbola
10) Ameter is a galvanometer with a
a) high resistance connected in parallel
b) low resistance connected in parallel
c) high resistance connected in series
d) low resistance connected in series
11) 100 kg mass 100m radius 36ms-1 speed centripetal force
a) 10N
b) 100N
c) 1000N
d) None
12) if power of body is 10 Js-1 then energy of body is
a) 1J
b) 10J
c) 100J
d) 1000J
13) a train travelling a sounds a whistle of frequency 5270hz.frequency of sound heard by the driver was
a) 5270
b) more than 5270
c) less than 5270
d) None
14) when we tune a radio that means
a) capacitance changes
b) inductance changes
c) resistance changes
d) None
14) when we tune a radio that means
a) capacitance changes
b) inductance changes
c) resistance changes
d) None
15) the direction of induced current is always so as to oppose the change which causes the current
a) Lenz law
b) Faraday law
c) coulomb's law
d) None
16) Milkians method is used to determine?
a) e/m of electron
b) Charge on electron
c) Mass of electron
d) None
17) if three resistances R connected in parallel thier equivalent resistance is
a) R/3
b) 9R
c) 3R
d) None
18) if three resistances r connected in series Then thier equivalent resistance is
a) 3R
b) 9R
c) 9/R
d) 3/R
19) Voltmeter is a device which have
a) high internal resistance
b) low internal resistance
c) No internal resistance
d) None